Naslov
Global existence and uniqueness of the solution for 3-D flow of a compressible viscous micropolar fluid with spherical symmetry

Autori
Dražić, Ivan ; Mujaković, Nermina

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
PDEs, Continuum Mechanics and Numerical Analysis - A Conference in Honor of the 80th Anniversary of professor Ibrahim Aganovic / - Dubrovnik, 2014

Skup
PDEs, Continuum Mechanics and Numerical Analysis - A Conference in Honor of the 80th Anniversary of professor Ibrahim Aganovic

Mjesto i datum
Dubrovnik, Hrvatska, 26.05.2014. - 30.05.2014

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
uniqueness ; global existence ; micropolar fluid

Sažetak
We consider the non-stationary 3-D flow of a compressible viscous heat-conducting micropolar fluid in the domain to be the subset of R^3 bounded with two concentric spheres that present the solid thermo-insulated walls. In the thermodynamical sense, the fluid is perfect and polytropic. We assume that the initial data are smooth enough and are spherically symmetric functions. The strict positivity for initial density and temperature is also proposed. Using the fact that the described problem has a generalized solution locally in time we will prove here that the generalized solution exists globally for any time interval [0, T], as well as the uniqueness of the solution.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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