Glasnik Matematicki, Vol. 40, No.1 (2005), 103-120.

GLOBAL IN TIME ESTIMATES FOR ONE-DIMENSIONAL COMPRESSIBLE VISCOUS MICROPOLAR FLUID MODEL

Nermina Mujakovic

Abstract.   An initial-boundary value problem for one-dimensional flow of a compressible viscous heat-conducting micropolar fluid is considered. It is assumed that the fluid is thermodynamically perfect and polytropic. A problem has a unique strong solution on ]0,1[ × ]0,T[, for each T > 0. Using this result we obtain a priori estimates for the solution independent of T.

2000 Mathematics Subject Classification.   35Q55, 35Q35, 76N10.

Key words and phrases.   Micropolar fluid, strong solution, a priori estimates.

DOI: 10.3336/gm.40.1.10

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