Stability of a Composite Wave of Two Separate Strong Viscous Shock Waves for 1-D Isentropic Navier-Stokes System

被引：0
|
作者：
Chang, Lin [1 ]
机构：
[1] Handan Univ, Sch Math & Phys, Handan 056006, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2023年 / 39卷 / 01期
关键词：
combination of two shock waves; energy estimate; asymptotic stability; ASYMPTOTIC STABILITY; NONLINEAR STABILITY; CONVERGENCE; PROFILES;
D O I：
10.1007/s10255-023-1032-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the large time behavior of solutions of 1-D isentropic Navier-Stokes system is investigated. It is shown that a composite wave consisting of two viscous shock waves is stable for the Cauchy problem provided that the two waves are initially far away from each other. Moreover the strengths of two waves could be arbitrarily large.
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页码：49 / 64
页数：16
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