A solution with bounded expansion rate to the model of viscous pressureless gases

被引：34

作者：

Boudin, L ^{[1
]}

机构：

[1] Univ Orleans, Lab Math Applicat & Phys Math Orleans, CNRS, UMR 6628, F-45067 Orleans 2, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2000年 / 32卷 / 01期

关键词：

pressureless gases; viscous solutions; entropy conditions; Oleinik entropy condition; inviscid limit; duality solutions;

D O I：

10.1137/S0036141098346840

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a global smooth solution to the equations of one-dimensional viscous pressureless gases and obtain a uniform upper estimate on the expansion rate with respect to viscosity. Then we get the convergence to the inviscid model in the duality sense of Bouchut and James.

引用

页码：172 / 193

页数：22

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