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Pregled bibliografske jedinice broj: 837729

On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes


Beneš, Michal; Pažanin, Igor
On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes // Nonlinear analysis : theory, methods and applications, 149 (2017), 56-80 doi:10.1016/j.na.2016.10.007 (međunarodna recenzija, članak, znanstveni)


Naslov
On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes

Autori
Beneš, Michal ; Pažanin, Igor

Izvornik
Nonlinear analysis : theory, methods and applications (0362-546X) 149 (2017); 56-80

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Navier-Stokes equations ; heat equation ; heat-conducting fluid ; qualitative properties ; mixed boundary conditions

Sažetak
We study an initial-boundary-value problem for time-dependent flows of heat-conducting viscous incompressible fluids in a system of three- dimensional pipes on a time interval $(0, T)$. We are motivated by the bounded domain approach with ``do-nothing'' boundary conditions. In terms of the velocity, pressure and temperature of the fluid, such flows are described by a coupled parabolic system with strong nonlinearities and including the natural boundary conditions for the velocity and temperature of the fluid on the part of the boundary where the fluid is supposed to leave the channel. The present analysis is devoted to the proof of the existence, regularity and uniqueness of the solution for the problem described above.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-3955 - Matematičko modeliranje i numeričke simulacije procesa u tankim i poroznim sredinama (Eduard Marušić-Paloka, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Igor Pažanin, (267385)

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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