Global Existence of Smooth Solutions for the One-Dimensional Full Euler System for a Dusty Gas

被引：0

作者：

Lai, Geng ^{[1
]}

Shi, Yingchun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 5卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Compressible Euler system; Dusty gas; Classical solution; The method of characteristic decomposition; EQUATIONS; SINGULARITIES; WAVES; VAN; PROPAGATION; EXPANSION; WEDGE;

D O I：

10.1007/s42967-022-00197-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of global-in-time classical solutions for the one-dimensional nonisentropic compressible Euler system for a dusty gas with large initial data. Using the characteristic decomposition method proposed by Li et al. (Commun Math Phys 267: 1-12, 2006), we derive a group of characteristic decompositions for the system. Using these characteristic decompositions, we find a sufficient condition on the initial data to ensure the existence of global-in-time classical solutions.

引用

页码：1235 / 1246

页数：12

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