Local existence of strong solution for a class of compressible non-Newtonian fluids with non-Newtonian potential

被引：5

作者：

Yuan, Hongjun ^{[1
]}

Meng, Qiu ^{[1
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 65卷 / 04期

关键词：

Existence and uniqueness; Non-Newtonian fluid; Non-Newtonian potential; Vacuum; NAVIER-STOKES EQUATIONS; GLOBAL EXISTENCE; SYMMETRIC-SOLUTIONS; VISCOUS-FLUID; BEHAVIOR; MOTION;

D O I：

10.1016/j.camwa.2012.10.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to discuss the existence and uniqueness of local solutions for a class of isentropic compressible non-Newtonian fluids with non-Newtonian potential in one-dimensional bounded intervals. The first difficult point in this paper is that we allow the initial vacuum; another one is that the viscosity term and Newtonian potential term are fully nonlinear, that is, the viscosity term adopts the O.A. Ladyzhenskaya model (p > 2); the potential term employs the q-Laplace form (1 < q < 2). (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：563 / 575

页数：13

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