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  • Research Article
  • 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:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Fluid Model

Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Philosophy, University of Rijeka, 51000 Rijeka, Croatia

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