Journal
BOUNDARY VALUE PROBLEMS
Volume -, Issue -, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/s13661-014-0226-z
Keywords
micropolar fluid; spherical symmetry; generalized solution; uniqueness
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Funding
- scientific project 'Mathematical and numerical modelling of compressible micropolar fluid flow', University of Rijeka, Croatia [13.14.1.3.03]
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We consider nonstationary 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 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.
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