Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 431, Issue 1, Pages 545-568Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2015.06.002
Keywords
Micropolar fluid; Spherical symmetry; Stabilization of the solution
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Funding
- University of Rijeka, Croatia [13.14.1.3.03]
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We consider the non-stationary 3-D flow of a compressible viscous heat-conducting micropolar fluid in the domain that is the subset of R-3 bounded with two concentric spheres that present solid thermo-insulated walls. Under the assumption that the fluid is perfect and polytropic in the thermodynamical sense as well as that the initial density and temperature are strictly positive and that the initial, data are sufficiently smooth spherically symmetric functions, the corresponding problem with homogeneous boundary data has a unique generalized solution for any time interval [0, T], T is an element of R+. In this work we analyze large time behavior of the solution and prove its stabilization. (C) 2015 Elsevier Inc. All rights reserved.
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