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

被引：40

作者：

Mujakovic, Nermina ^{[1
]}

机构：

[1] Univ Rijeka, Fac Philosophy, Dept Math, Rijeka 51000, Croatia

来源：

BOUNDARY VALUE PROBLEMS | 2008年 / 2008卷 / 1期

关键词：

Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Equation; Fluid Model;

D O I：

10.1155/2008/189748

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Holder continuous on ]0, 1[ and transforming the original problem into homogeneous one, we prove that the state function is Holder continuous on ]0, 1[x]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.

引用

页数：15