Boundary Value Problems
Volume 2008 (2008), Article ID 189748, 15 pages
doi:10.1155/2008/189748

Nonhomogeneous boundary value problem for one-dimensional compressible viscous micropolar fluid model: Regularity of the solution

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 ]0,1[ and transforming the original problem into homogeneous one, we prove that the state function is Hölder continuous on ]0,1[×]0,T[, for each T>0. The proof is based on a global-in-time existence theorem obtained in the previous research paper and on a theory of parabolic equations.