Open Access

Nonhomogeneous Boundary Value Problem for One-Dimensional Compressible Viscous Micropolar Fluid Model: Regularity of the Solution

Boundary Value Problems20082008:189748

https://doi.org/10.1155/2008/189748

Received: 22 June 2008

Accepted: 22 October 2008

Published: 30 October 2008

Abstract

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.

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Philosophy, University of Rijeka

Copyright

© Nermina Mujaković. 2008

This article is published under license to BioMed Central Ltd. 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.