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.
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页码：1235 / 1246
页数：12
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