L∞ SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW

被引：3

作者：

Frid, Hermano ^{[1
]}

Holden, Helge ^{[2
,3
]}

Karlsen, Kenneth H. ^{[2
,3
]}

机构：

[1] IMPA, BR-22460320 Rio De Janeiro, Brazil

[2] Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway

[3] Univ Oslo, Ctr Math Applicat, NO-0316 Oslo, Norway

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2011年 / 43卷 / 05期

关键词：

gas dynamics; polytropic gas; Fourier law; LAX-FRIEDRICHS SCHEME; CONSERVATION-LAWS; ENTROPY SOLUTIONS; CONVERGENCE; DYNAMICS; SYSTEMS;

D O I：

10.1137/110824218

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the global existence of L-infinity solutions for a model of polytropic gas flow with varying temperature governed by a Fourier equation in the Lagrangian coordinates. The result is obtained by showing the convergence of a class of finite difference schemes, which includes the Lax-Friedrichs and Godunov schemes. Such convergence is achieved by proving the estimates required for the application of the compensated compactness theory.

引用

页码：2253 / 2274

页数：22

共 11 条

[1] Decay of entropy solutions of nonlinear conservation laws [J].