Abstract
We consider nonstationary 3-D flow of a compressible viscous heat-conducting micropolar fluid in the domain that is the subset of bounded with two concentric spheres that present the solid thermoinsulated walls. In the thermodynamical sense the fluid is perfect and polytropic. If we assume that the initial density and temperature are strictly positive and that the initial data are sufficiently smooth spherically symmetric functions then our problem has a generalized solution for a sufficiently small time interval. We study the problem in the Lagrangian description and prove the uniqueness of its generalized solution.
Highlights
The theory of micropolar fluids was introduced by Ahmed Cemal Eringen in [ ]
In this paper we analyze compressible flow of isotropic, viscous, and heat-conducting micropolar fluid which is in the thermodynamical sense perfect and polytropic
In this work we prove the uniqueness of the solution for the problem presented in [ ] where we proved the local existence of generalized spherically symmetric solution for the flow of described fluid in the domain to be subset of R bounded with two concentric spheres that present solid thermoinsulated walls, assuming that the initial density and temperature are strictly positive and that the initial data are smooth enough spherically symmetric functions
Summary
The theory of micropolar fluids was introduced by Ahmed Cemal Eringen in [ ]. The local existence and uniqueness of a generalized solution for homogeneous boundary conditions were proved.
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