Boundary Value Problems
Volume 2008 (2008), Article ID 189748, 15 pages
Nonhomogeneous Boundary Value Problem for One-Dimensional Compressible Viscous Micropolar Fluid Model: Regularity of the Solution
Department of Mathematics, Faculty of Philosophy, University of Rijeka, 51000 Rijeka, Croatia
Received 22 June 2008; Accepted 22 October 2008
Academic Editor: Michel Chipot
Copyright © 2008 Nermina Mujaković. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
An initial-boundary value problem for 1D flow of a compressible
viscous heat-conducting micropolar fluid is considered; the fluid is thermodynamically
perfect and polytropic. Assuming that the initial data
are Hölder continuous on and transforming the original problem
into homogeneous one, we prove that the state function is Hölder
continuous on , for each . The proof is based on
a global-in-time existence theorem obtained in the previous research
paper and on a theory of parabolic equations.