@unknown{unknown,
author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor and Radulovi\'{c}, Marko},
year = {2020},
keywords = {micropolar fluid, nonstationary flow, Leray's problem, solvability, pipe networks},
journal = {Mediterranean journal of mathematics},
title = {Leray's problem for the nonstationary micropolar fluid flow},
keyword = {micropolar fluid, nonstationary flow, Leray's problem, solvability, pipe networks}
}
@unknown{unknown,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor and Radulovi\'{c}, Marko},
year = {2019},
keywords = {Boundary perturbation, thin domain, Darcy--Brinkman-Boussinesq flow, Asymptotic solution, Error analysis.},
journal = {Transport in porous media},
title = {On the Darcy-Brinkman--Boussinesq flow in a thin channel with irregularities},
keyword = {Boundary perturbation, thin domain, Darcy--Brinkman-Boussinesq flow, Asymptotic solution, Error analysis.}
}
@unknown{unknown,
author = {Nakasato, Jean Carlos and Pa\v{z}anin, Igor and Pereira, Marcone Correa},
year = {2019},
keywords = {convection-diffusion-reaction equation, Robin boundary condition, thin domain, rough boundary, unfolding method},
journal = {Applicable analysis},
title = {Roughness-induced effects on the convection- diffusion-reaction problem in a thin domain},
keyword = {convection-diffusion-reaction equation, Robin boundary condition, thin domain, rough boundary, unfolding method}
}
@article{article,
author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor},
year = {2019},
pages = {6227-6258},
keywords = {Nonlinear degenerate parabolic system, Homogenization, Two-scale convergence, Coupled transport processes in porous media, Robin boundary conditions},
journal = {Mathematical methods in the applied sciences},
volume = {42},
number = {18},
title = {Homogenization of degenerate coupled transport processes in porous media with memory terms},
keyword = {Nonlinear degenerate parabolic system, Homogenization, Two-scale convergence, Coupled transport processes in porous media, Robin boundary conditions}
}
@article{article,
author = {Maru\v{s}i\'{c}.Paloka, Eduard and Pa\v{z}anin, Igor and Pr\v{s}a, Marija},
year = {2019},
pages = {135-150},
keywords = {heat conduction problem, dilated pipe, linear heat expansion law, asymptotic expansion, error analysis},
journal = {Applied mathematics and computation},
volume = {355},
title = {Asymptotic analysis of the heat conduction problem in a dilated pipe},
keyword = {heat conduction problem, dilated pipe, linear heat expansion law, asymptotic expansion, error analysis}
}
@article{article,
author = {Castineira, Gonzalo and Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor and Rodriguez, Jose Manuel},
year = {2019},
pages = {1-39},
keywords = {curved pipe, time-dependent domain, Navier-Stokes equations, asymptotic analysis, error estimates},
journal = {Zeitschrift f\"{u}r angewandte Mathematik und Mechanik},
volume = {99},
number = {1},
title = {Rigorous justification of the asymptotic model describing a curved-pipe flow in a time- dependent domain},
keyword = {curved pipe, time-dependent domain, Navier-Stokes equations, asymptotic analysis, error estimates}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2019},
pages = {1227-1246},
keywords = {time-dependent boundary perturbation, Stokes system, asymptotic expansion, error estimate},
journal = {Communications on pure and applied analysis},
volume = {18},
number = {3},
title = {Reaction of the fluid flow on time-dependent boundary perturbation},
keyword = {time-dependent boundary perturbation, Stokes system, asymptotic expansion, error estimate}
}
@article{article,
author = {Pa\v{z}anin, Igor and Suarez-Grau, Francisco Javier},
year = {2019},
pages = {3073-3109},
keywords = {Darcy-Lapwood-Brinkman equation, thin domain, highly oscillating boundary, unfolding method},
journal = {Bulletin of the Malaysian Mathematical Sciences Society},
volume = {42},
number = {6},
title = {Homogenization of the Darcy-Lapwood-Brinkman flow in a thin domain with highly oscillating boundaries},
keyword = {Darcy-Lapwood-Brinkman equation, thin domain, highly oscillating boundary, unfolding method}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2019},
pages = {729-741},
keywords = {solute dispersion, porous medium, chemical reaction, small boundary perturbation, asymptotic analysis},
journal = {Bulletin of the Malaysian Mathematical Sciences Society},
volume = {42},
number = {2},
title = {A note on the solute dispersion in a porous medium},
keyword = {solute dispersion, porous medium, chemical reaction, small boundary perturbation, asymptotic analysis}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2018},
pages = {189-203},
keywords = {helical pipe, Darcy-Brinkman-Boussinesq system, Newton cooling condition, curvilinear coordinates, asymptotic approximation},
journal = {Theoretical and applied mechanics},
volume = {45},
number = {2},
title = {Asymptotic solution for the Darcy-Brinkman- Boussinesq flow in a pipe with helicoidal shape},
keyword = {helical pipe, Darcy-Brinkman-Boussinesq system, Newton cooling condition, curvilinear coordinates, asymptotic approximation}
}
@unknown{unknown,
author = {Pa\v{z}anin, Igor and Radulovi\'{c}, Marko},
year = {2018},
keywords = {micropolar fluid, curved pipe, nonsteady flow, asymptotic expansion, error analysis},
journal = {Applicable analysis},
title = {Asymptotic analysis of the nonsteady micropolar fluid flow through a curved pipe},
keyword = {micropolar fluid, curved pipe, nonsteady flow, asymptotic expansion, error analysis}
}
@article{article,
author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor and Radulovi\'{c}, Marko},
year = {2018},
pages = {2035-2060},
keywords = {Micropolar fluid, Nonsteady flow, Asymptotic analysis, Higher-order effective model, Error estimates.},
journal = {Computers and mathematics with applications},
volume = {76},
title = {Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe},
keyword = {Micropolar fluid, Nonsteady flow, Asymptotic analysis, Higher-order effective model, Error estimates.}
}
@article{article,
author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor and Radulovi\'{c}, Marko},
year = {2018},
pages = {1-26},
keywords = {Initial-boundary value problem, second-order parabolic system, existence and uniqueness, micropolar fluid, poiseuille flow.},
journal = {Electronic journal of differential equations},
volume = {2018},
number = {148},
title = {Existence and uniqueness of the generalized Poiseuille solution for nonstationary micropolar flow in an infinite cylinder},
keyword = {Initial-boundary value problem, second-order parabolic system, existence and uniqueness, micropolar fluid, poiseuille flow.}
}
@article{article,
author = {Bonnivard, Matthieu and Pa\v{z}anin, Igor and Suarez-Grau, Francisco Javier},
year = {2018},
pages = {501-518},
keywords = {lubrication process, micropolar ﬂuid, nonzero boundary conditions, rough boundary, asymptotic analysis, numerical results},
journal = {European journal of mechanics. B, Fluids},
volume = {72},
title = {Eﬀects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar ﬂuid},
keyword = {lubrication process, micropolar ﬂuid, nonzero boundary conditions, rough boundary, asymptotic analysis, numerical results}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2018},
pages = {639-644},
keywords = {incompressible fluid, long pipe, non-constant pressure boundary condition, asymptotic approximation, optimal pressure},
journal = {Zeitschrift f\"{u}r Naturforschung. A, A journal of physical sciences},
volume = {73},
number = {7},
title = {On the viscous flow through a long pipe with non- constant pressure boundary condition},
keyword = {incompressible fluid, long pipe, non-constant pressure boundary condition, asymptotic approximation, optimal pressure}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2018},
pages = {121-130},
keywords = {non-isothermal lubrication, viscous dissipation, asymptotic analysis, higher-order model, rigorous justification},
journal = {International journal for multiscale computational engineering},
volume = {16},
number = {2},
title = {Higher-order effective model describing a non- isothermal thin film flow},
keyword = {non-isothermal lubrication, viscous dissipation, asymptotic analysis, higher-order model, rigorous justification}
}
@article{article,
author = {Pa\v{z}anin, Igor and Maru\v{s}i\'{c}-Paloka, Eduard},
editor = {\v{S}imurda, David and Bodnar, Toma\v{s}},
year = {2018},
pages = {217-222},
DOI = {10.14311/TPFM.2018.029},
keywords = {non-isothermal flow, viscous dissipation, asymptotic approximation},
doi = {10.14311/TPFM.2018.029},
title = {Effects of viscous dissipation on the fluid flow through a thin domain},
keyword = {non-isothermal flow, viscous dissipation, asymptotic approximation},
publisher = {Institute of Thermomechanics},
publisherplace = {Prag, \v{C}e\v{s}ka}
}
@article{article,
author = {Pa\v{z}anin, Igor and Radulovi\'{c}, Marko},
year = {2018},
pages = {16},
DOI = {10.1155/2018/6759876},
chapter = {6759876},
keywords = {micropolar fluid, nonsteady flow, circular pipe, asymptotic solution},
journal = {Mathematical problems in engineering},
doi = {10.1155/2018/6759876},
volume = {2018},
title = {Asymptotic approximation of the nonsteady micropolar fluid flow through a circular pipe},
keyword = {micropolar fluid, nonsteady flow, circular pipe, asymptotic solution},
chapternumber = {6759876}
}
@article{article,
author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor},
year = {2018},
pages = {919-944},
keywords = {transport processes in porous media, degenerate parabolic system, global existence, semidiscretization in time},
journal = {Zeitschrift f\"{u}r angewandte Mathematik und Mechanik},
volume = {98},
number = {6},
title = {On degenerate coupled transport processes in porous media with memory phenomena},
keyword = {transport processes in porous media, degenerate parabolic system, global existence, semidiscretization in time}
}
@article{article,
author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor},
year = {2018},
pages = {301-317},
DOI = {10.1007/s00161-017-0603-9},
keywords = {Darcy-Brinkman-Boussinesq model, thin pipe, Newton cooling condition, asymptotic approximation, error estimates},
journal = {Continuum mechanics and thermodynamics},
doi = {10.1007/s00161-017-0603-9},
volume = {30},
number = {2},
title = {Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium},
keyword = {Darcy-Brinkman-Boussinesq model, thin pipe, Newton cooling condition, asymptotic approximation, error estimates}
}
@article{article,
author = {Pa\v{z}anin, Igor and Pereira, Marcone},
year = {2018},
pages = {579-592},
DOI = {10.3934/cpaa.2018},
keywords = {convection-diffusion-reaction equation, nonlinear boundary condition, thin domain, concentrating term},
journal = {Communications on pure and applied analysis},
doi = {10.3934/cpaa.2018},
volume = {17},
number = {2},
title = {On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption},
keyword = {convection-diffusion-reaction equation, nonlinear boundary condition, thin domain, concentrating term}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2018},
pages = {297-305},
keywords = {pipe network, pressure-dependent viscosity, transformed pressure, Kirchhoff's law, asymptotic analysis},
journal = {Computational and applied mathematics},
volume = {37},
number = {1},
title = {Asymptotic analysis of the fluid flow with a pressure-dependent viscosity in a system of thin pipes},
keyword = {pipe network, pressure-dependent viscosity, transformed pressure, Kirchhoff's law, asymptotic analysis}
}
@article{article,
author = {Siddheshwar, Pradeep G. and Meenakshi, Nerolu and Pa\v{z}anin, Igor},
year = {2017},
pages = {833-842},
DOI = {10.1515/zna-2017-0156},
keywords = {Curved stretching sheet, Shooting method, Heat transfer, Nanoliquids},
journal = {Zeitschrift fur Naturforschung A},
doi = {10.1515/zna-2017-0156},
volume = {72},
number = {9},
title = {Flow and heat transfer in a Newtonian nanoliquid due to a curved stretching sheet},
keyword = {Curved stretching sheet, Shooting method, Heat transfer, Nanoliquids}
}
@article{article,
author = {Mahabaleshwar, Ulavathi S. and Pa\v{z}anin, Igor},
year = {2017},
pages = {83-101},
DOI = {10.2298/TAM170511004M},
keywords = {MHD flow, boundary perturbation, asymptotic analysis, nonlocal effects},
journal = {Theoretical and applied mechanics},
doi = {10.2298/TAM170511004M},
volume = {44},
number = {1},
title = {Effects of small boundary perturbation on the MHD duct flow},
keyword = {MHD flow, boundary perturbation, asymptotic analysis, nonlocal effects}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor and Pr\v{s}a, Marija},
year = {2017},
pages = {97-1-97-9},
DOI = {10.1007/s00009-017-0898-6},
keywords = {heat conduction, dilated pipe, linear heat expansion law, existence and uniqueness of the solution},
journal = {Mediterranean journal of mathematics},
doi = {10.1007/s00009-017-0898-6},
volume = {14},
number = {2},
title = {Heat conduction problem in a dilated pipe: existence and uniqueness result},
keyword = {heat conduction, dilated pipe, linear heat expansion law, existence and uniqueness of the solution}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2017},
pages = {27-44},
DOI = {10.1007/s11242-016-0818-4},
keywords = {boundary perturbation, Darcy-Brinkman equation, asymptotic approximation, error estimates},
journal = {Transport in porous media},
doi = {10.1007/s11242-016-0818-4},
volume = {117},
number = {1},
title = {On the Darcy-Brinkman flow through a channel with slightly perturbed boundary},
keyword = {boundary perturbation, Darcy-Brinkman equation, asymptotic approximation, error estimates}
}
@article{article,
author = {Pa\v{z}anin, Igor and Siddheshwar, Pradeep},
year = {2017},
pages = {253-259},
DOI = {10.1515/zna-2016-0321},
keywords = {thin fracture, Darcy-Lapwood-Brinkman equation, asymptotic analysis, error estimates},
journal = {Zeitschrift f\"{u}r Naturforschung. A},
doi = {10.1515/zna-2016-0321},
volume = {72},
number = {3},
title = {Analysis of the laminar Newtonian fluid flow through a thin fracture modelled as a fluid- saturated sparsely packed porous medium},
keyword = {thin fracture, Darcy-Lapwood-Brinkman equation, asymptotic analysis, error estimates}
}
@article{article,
author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor},
year = {2017},
pages = {56-80},
DOI = {10.1016/j.na.2016.10.007},
keywords = {Navier-Stokes equations, heat equation, heat-conducting fluid, qualitative properties, mixed boundary conditions},
journal = {Nonlinear analysis : theory, methods and applications},
doi = {10.1016/j.na.2016.10.007},
volume = {149},
title = {On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes},
keyword = {Navier-Stokes equations, heat equation, heat-conducting fluid, qualitative properties, mixed boundary conditions}
}
@article{article,
author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor},
year = {2017},
pages = {165-192},
DOI = {10.1016/j.jmaa.2016.08.041},
keywords = {Nonlinear degenerate parabolic system, homogenization, asymptotic analysis, two-scale convergence, coupled transport processes in porous media},
journal = {Journal of mathematical analysis and applications},
doi = {10.1016/j.jmaa.2016.08.041},
volume = {446},
number = {1},
title = {Homogenization of degenerate coupled fluid flows and heat transport through porous media},
keyword = {Nonlinear degenerate parabolic system, homogenization, asymptotic analysis, two-scale convergence, coupled transport processes in porous media}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2016},
pages = {3101-3107},
keywords = {Brinkman's equation, pressure-dependent viscosity, pressure-dependent drag coefficient, transformed pressure, asymptotic analysis},
journal = {Journal of Applied Fluid Mechanics},
volume = {9},
number = {6},
title = {Asymptotic approach to the generalized Brinkman's equation with pressure-dependent viscosity and drag coefficient},
keyword = {Brinkman's equation, pressure-dependent viscosity, pressure-dependent drag coefficient, transformed pressure, asymptotic analysis}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor and Radulovi\'{c}, Marko},
year = {2016},
pages = {607-619},
DOI = {10.1515/zna-2016-0085},
keywords = {micropolar fluid, boundary perturbation, asymptotic analysis, nonlocal effects},
journal = {Zeitschrift f\"{u}r Naturforschung. A, A journal of physical sciences},
doi = {10.1515/zna-2016-0085},
volume = {71},
number = {7},
title = {Flow of a micropolar fluid through a channel with small boundary perturbation},
keyword = {micropolar fluid, boundary perturbation, asymptotic analysis, nonlocal effects}
}
@article{article,
author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor},
year = {2016},
pages = {29-43},
DOI = {10.1007/s10440-015-0026-1},
keywords = {micropolar fluid, junction of thin pipes, strong coupling, micropolar Leray problem, asymptotic analysis},
journal = {Acta applicandae mathematicae},
doi = {10.1007/s10440-015-0026-1},
volume = {143},
number = {1},
title = {Effective flow of incompressible micropolar fluid through a system of thin pipes},
keyword = {micropolar fluid, junction of thin pipes, strong coupling, micropolar Leray problem, asymptotic analysis}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2016},
pages = {2233-2247},
keywords = {micropolar fluid, lubrication, asymptotic expansion, rigorous justification},
journal = {FILOMAT},
volume = {30},
number = {8},
title = {Asymptotic analysis of the lubrication problem with nonstandard boundary conditions for microrotation},
keyword = {micropolar fluid, lubrication, asymptotic expansion, rigorous justification}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2015},
pages = {695-702},
DOI = {10.1515/zna-2015-0148},
keywords = {power-law fluid, junction of thin pipes, Kirchhoff's law, matched asymptotic solution},
journal = {Zeitschrift f\"{u}r Naturforschung. A, A journal of physical sciences},
doi = {10.1515/zna-2015-0148},
volume = {70},
number = {9},
title = {A note on the Kirchhoff's junction rule for power-law fluids},
keyword = {power-law fluid, junction of thin pipes, Kirchhoff's law, matched asymptotic solution}
}
@article{article,
author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor and Suarez-Grau, Francisco Javier},
year = {2015},
pages = {569-579},
DOI = {10.15632/jtam-pl.53.3.569},
keywords = {pipe flow, heat conduction, micropolar fluid, asymptotic analysis},
journal = {Journal of theoretical and applied mechanics},
doi = {10.15632/jtam-pl.53.3.569},
volume = {53},
number = {3},
title = {Heat flow through a thin cooled pipe filled with a micropolar fluid},
keyword = {pipe flow, heat conduction, micropolar fluid, asymptotic analysis}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2015},
pages = {905406-1-905406-8},
DOI = {10.1155/2015/905406},
keywords = {Barus law, curved pipe, transformation procedure, asymptotic analysis},
journal = {Mathematical problems in engineering},
doi = {10.1155/2015/905406},
title = {Asymptotic analysis of the curved-pipe flow with a pressure-dependent viscosity satisfying Barus law},
keyword = {Barus law, curved pipe, transformation procedure, asymptotic analysis}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2014},
pages = {062006-1-062006-8},
DOI = {10.1063/2.1406206},
keywords = {pressure-dependent viscosity, Barus law, helical pipe flow, curvilinear coordinates, asymptotic approximation},
journal = {Theoretical and Applied Mechanics Letters},
doi = {10.1063/2.1406206},
volume = {4},
number = {6},
title = {On the helical pipe flow with a pressure-dependent viscosity},
keyword = {pressure-dependent viscosity, Barus law, helical pipe flow, curvilinear coordinates, asymptotic approximation}
}
@article{article,
author = {Pa\v{z}anin, Igor and Suarez-Grau, Francisco-Javier},
year = {2014},
pages = {1915-1932},
DOI = {10.1016/j.camwa.2014.10.003},
keywords = {thin-film flow, micropolar fluid, rough boundary, different scales, asymptotic expansion, two-scale convergence},
journal = {Computers and mathematics with applications},
doi = {10.1016/j.camwa.2014.10.003},
volume = {68},
number = {12 Part A},
title = {Analysis of the thin film flow in a rough domain filled with micropolar fluid},
keyword = {thin-film flow, micropolar fluid, rough boundary, different scales, asymptotic expansion, two-scale convergence}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2014},
pages = {217174-1-217174-8},
DOI = {10.1155/2014/217174},
keywords = {lubrication, pressure-dependent viscosity, Barus law, asymptotic approximation},
journal = {Journal of applied mathematics},
doi = {10.1155/2014/217174},
title = {Asymptotic modeling of the thin film flow with a pressure-dependent viscosity},
keyword = {lubrication, pressure-dependent viscosity, Barus law, asymptotic approximation}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor and Maru\v{s}i\'{c}, Sanja},
year = {2013},
pages = {69-73},
DOI = {10.1016/j.mechrescom.2013.06.009},
keywords = {micropolar fluid, lubrication, asymptotic expansion, higher-order model},
journal = {Mechanics research communications},
doi = {10.1016/j.mechrescom.2013.06.009},
volume = {52},
title = {An effective model for the lubrication with micropolar fluid},
keyword = {micropolar fluid, lubrication, asymptotic expansion, higher-order model}
}
@article{article,
author = {Pa\v{z}anin, Igor and Suarez-Grau, Francisco Javier},
year = {2013},
pages = {646-652},
DOI = {10.1016/j.crme.2013.05.001},
keywords = {thin-film lubrication, heat conduction, rough boundaries, asymptotic analysis},
journal = {Comptes rendus. M\'{e}canique},
doi = {10.1016/j.crme.2013.05.001},
volume = {341},
number = {8},
title = {Effects of rough boundary on the heat transfer in a thin film flow},
keyword = {thin-film lubrication, heat conduction, rough boundaries, asymptotic analysis}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2013},
pages = {5-10},
DOI = {10.1016/j.jnnfm.2013.02.006},
keywords = {pressure-dependent viscosity, incompressible fluid, pipe flow, asymptotic analysis},
journal = {Journal of non-newtonian fluid mechanics},
doi = {10.1016/j.jnnfm.2013.02.006},
volume = {197},
title = {A note on the pipe flow with a pressure-dependent viscosity},
keyword = {pressure-dependent viscosity, incompressible fluid, pipe flow, asymptotic analysis}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2013},
pages = {528-540},
DOI = {10.1016/j.cnsns.2012.08.016},
keywords = {micropolar fluid, helical pipe, asymptotic approximation, error estimate},
journal = {Communications in Nonlinear Science and Numerical Simulation},
doi = {10.1016/j.cnsns.2012.08.016},
volume = {18},
number = {3},
title = {Investigation of micropolar fluid flow in a helical pipe via asymptotic analysis},
keyword = {micropolar fluid, helical pipe, asymptotic approximation, error estimate}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2013},
pages = {2366-2373},
DOI = {10.1016/j.mcm.2011.12.031},
keywords = {micropolar fluid, reactive solute, thin pipe, asymptotic expansion},
journal = {Mathematical and computer modelling},
doi = {10.1016/j.mcm.2011.12.031},
volume = {57},
number = {9/10},
title = {Modeling of solute dispersion in a circular pipe filled with micropolar fluid},
keyword = {micropolar fluid, reactive solute, thin pipe, asymptotic expansion}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor and Maru\v{s}i\'{c}, Sanja},
year = {2012},
pages = {596-601},
DOI = {10.1016/j.crme.2012.05.004},
keywords = {fluid film lubrication, asymptotic analysis, second order model},
journal = {Comptes rendus. M\'{e}canique},
doi = {10.1016/j.crme.2012.05.004},
volume = {340},
number = {8},
title = {Second order model in fluid film lubrication},
keyword = {fluid film lubrication, asymptotic analysis, second order model}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor and Maru\v{s}i\'{c}, Sanja},
year = {2012},
pages = {7538-7545},
DOI = {10.1016/j.amc.2012.01.021},
keywords = {Brinkman law, Darcy law, porous medium, asymptotic expansion},
journal = {Applied mathematics and computation},
doi = {10.1016/j.amc.2012.01.021},
volume = {218},
number = {14},
title = {Comparison between Darcy and Brinkman laws in a fracture},
keyword = {Brinkman law, Darcy law, porous medium, asymptotic expansion}
}
@unknown{unknown,
author = {Bruckler, Franka Miriam and Pa\v{z}anin, Igor},
year = {2012},
pages = {274},
keywords = {mathematical methods for chemists, systems of linear equations, matrices, vector spaces, linear operators, ordinary differential equations, multiple variable calculus, method of least squares, sequences and series, function series, basic Fourier analysis},
title = {Mathematics for chemists 2},
keyword = {mathematical methods for chemists, systems of linear equations, matrices, vector spaces, linear operators, ordinary differential equations, multiple variable calculus, method of least squares, sequences and series, function series, basic Fourier analysis},
publisher = {PMF-Matemati\v{c}ki odjel}
}
@unknown{unknown,
author = {Bruckler, Franka Miriam and Pa\v{z}anin, Igor},
year = {2012},
pages = {246},
keywords = {mathematical methods for chemists, functions with one variable, differential and integral calculus, basic linear algebra, complex numbers},
title = {Mathematics for chemists 1},
keyword = {mathematical methods for chemists, functions with one variable, differential and integral calculus, basic linear algebra, complex numbers},
publisher = {PMF-Matemati\v{c}ki odjel}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2011},
pages = {062004-1-062004-5},
keywords = {micropolar fluid, thin pipe, viscosity coefficients, asymptotic behavior},
journal = {Theoretical and Applied Mechanics Letters},
volume = {1},
number = {6},
title = {On the micropolar flow in a circular pipe: the effects of the viscosity coefficients},
keyword = {micropolar fluid, thin pipe, viscosity coefficients, asymptotic behavior}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2011},
pages = {1-25},
DOI = {10.1007/s10440-011-9625-7},
keywords = {micropolar fluid, curved pipe, curvilinear coordinates, asymptotic expansion},
journal = {Acta applicandae mathematicae},
doi = {10.1007/s10440-011-9625-7},
volume = {116},
number = {1},
title = {Asymptotic behavior of micropolar fluid flow through a curved pipe},
keyword = {micropolar fluid, curved pipe, curvilinear coordinates, asymptotic expansion}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2011},
pages = {127070-1-127070-18},
DOI = {10.1155/2011/127070},
keywords = {micropolar fluid, thin pipe, asymptotic expansion},
journal = {Mathematical problems in engineering},
doi = {10.1155/2011/127070},
volume = {2011},
title = {Effective flow of micropolar fluid through a thin or long pipe},
keyword = {micropolar fluid, thin pipe, asymptotic expansion}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2011},
pages = {878-882},
DOI = {10.1016/j.aml.2010.12.039},
keywords = {reactive solute, Taylor dispersion, curved pipe, asymptotic expansion},
journal = {Applied mathematics letters},
doi = {10.1016/j.aml.2010.12.039},
volume = {24},
number = {6},
title = {On reactive solute transport through a curved pipe},
keyword = {reactive solute, Taylor dispersion, curved pipe, asymptotic expansion}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2010},
pages = {4554-4564},
DOI = {10.1016/j.nonrwa.2008.09.016},
keywords = {curved pipe, asymptotic analysis, Boussinesq equations},
journal = {Nonlinear analysis: real world applications},
doi = {10.1016/j.nonrwa.2008.09.016},
volume = {11},
number = {6},
title = {On the effects of curved geometry on heat conduction through a distorted pipe},
keyword = {curved pipe, asymptotic analysis, Boussinesq equations}
}
@article{article,
author = {Maru\v{s}i\'{c}, Sanja and Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
editor = {Korsunsky, Alexander M. and Hunter, Andrew and Hukins, David WL},
year = {2010},
pages = {1851-1854},
keywords = {asymptotic analysis, convection-diffusion, heat transfer, perturbation, mathematical modeling},
title = {Asymptotic expansion for thermal flow through a pipe},
keyword = {asymptotic analysis, convection-diffusion, heat transfer, perturbation, mathematical modeling},
publisher = {International Asociation of Engineers},
publisherplace = {London, Engleska}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2009},
pages = {1571-1582},
DOI = {10.1016/j.mcm.2009.09.006},
keywords = {heat transfer, helical pipe, asymptotic expansion},
journal = {Mathematical and Computer Modelling},
doi = {10.1016/j.mcm.2009.09.006},
volume = {50},
title = {Modelling of heat transfer in a laminar flow through a helical pipe},
keyword = {heat transfer, helical pipe, asymptotic expansion}
}
@article{article,
author = {Pa\v{z}anin, Igor},
year = {2009},
pages = {57061-1-57061-10},
DOI = {10.1155/2009/957061},
keywords = {Navier-Stokes equations, pressure boundary condition, helical pipe},
journal = {Mathematical Problems in Engineering},
doi = {10.1155/2009/957061},
volume = {2009},
title = {On the solvability of a problem of stationary fluid flow in a helical pipe},
keyword = {Navier-Stokes equations, pressure boundary condition, helical pipe}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2009},
pages = {495-515},
DOI = {10.1080/00036810902889542},
keywords = {Boussinesq approximation, thin pipe, asymptotic expansion, boundary layers},
journal = {Applicable Analysis},
doi = {10.1080/00036810902889542},
volume = {88},
number = {4},
title = {Non-isothermal fluid flow through a thin pipe with cooling},
keyword = {Boussinesq approximation, thin pipe, asymptotic expansion, boundary layers}
}
@phdthesis{phdthesis,
author = {Pa\v{z}anin, Igor},
year = {2008},
pages = {81},
keywords = {asymptotic expansion, Boussinesq's model, thin pipe, Newton's cooling law, boundary layer},
title = {Asymptotic analysis of non-isothermal fluid flow through a thin pipe},
keyword = {asymptotic expansion, Boussinesq's model, thin pipe, Newton's cooling law, boundary layer},
publisherplace = {Zagreb}
}
@article{article,
author = {Maru\v{s}i\'{c}, Sanja and Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2008},
pages = {493-499},
DOI = {10.1016/j.crme.2008.03.003},
keywords = {Heat transfer, Heat conduction, Asymptotic analysis, High convection},
journal = {Comptes Rendus Mecanique},
doi = {10.1016/j.crme.2008.03.003},
volume = {336},
number = {6},
title = {Effects of strong convection on the cooling process for a long or thin pipe},
keyword = {Heat transfer, Heat conduction, Asymptotic analysis, High convection}
}
@article{article,
author = {Maru\v{s}i\'{c}-Paloka, Eduard and Pa\v{z}anin, Igor},
year = {2007},
pages = {81-99},
keywords = {pipe flow, helicoidal pipe, asymptotic analysis, Navier-Stokes system},
journal = {ZAMP Zeitscrift fur Angewandte Mathematik und Physik},
volume = {58},
number = {1},
title = {Fluid flow through a helical pipe},
keyword = {pipe flow, helicoidal pipe, asymptotic analysis, Navier-Stokes system}
}