Research
3-D flow of a compressible viscous micropolar fluid with spherical symmetry: a local existence theorem
Author affiliations
1 Faculty of Engineering, University of Rijeka, Rijeka, Croatia
2 Department of Mathematics, University of Rijeka, Rijeka, Croatia
Citation and License
Boundary Value Problems 2012, 2012:69 doi:10.1186/1687-2770-2012-69
Published: 2 July 2012Abstract
We consider nonstationary 3-D flow of a compressible viscous heat-conducting micropolar
fluid in the domain to be the subset of 
bounded with two concentric spheres that present solid thermoinsulated walls. In
thermodynamical sense fluid is perfect and polytropic. Assuming that the initial density
and temperature are strictly positive we will prove that for smooth enough spherically
symmetric initial data there exists a spherically symmetric generalized solution locally
in time.
