Naslov
3-D flow of a compressible viscous micropolar fluid with cylindrical symmetry: a local existence theorem

Autori
Dražić, Ivan ; Mujaković, Nermina

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

Izvornik
Equadiff 2015: abstracts / - Lyon, 2015

Skup
Equadiff 2015

Mjesto i datum
Lyon, Francuska, 06.07.2015. - 10.07.2015

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
cylindricall symmetry ; micropolar fluid ; local existence

Sažetak
In this work we consider the nonstationary 3D flow of a compressible viscous and heatconducting micropolar fluid, which is in the thermodynamical sense perfect and polytropic. The fluid domain is the subset of R3 bounded with two coaxial cylinders that present solid thermoinsulated walls. We assume that the initial mass density, temperature, as well as the velocity and microrotation vectors are radially dependent only and analyze the corresponding initial-boundary value problem. With the additional assumptionthat the initial mass density and temperature are strictly positive we prove that for smooth enough initial data there exists a cylindrically symmetric generalized solution locally in time. The proof is based on the Faedo-Galerkin method.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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