Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the scalar diffusive dispersive conservation laws

被引：4

作者：

Yoshida, Natsumi ^{[1
,2
]}

机构：

[1] Ritsumeikan Univ, OIC Res Org, Ibaraki, Osaka 5678570, Japan

[2] Doshisha Univ, Fac Culture & Informat Sci, Kyotanabe, Kyoto 6100394, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 189卷

关键词：

Korteweg-de Vries-Burgers-Kuramoto equation; asymptotic behavior; rarefaction wave; LARGE-TIME BEHAVIOR; MULTIWAVE PATTERN; DECAY PROPERTIES; GLOBAL STABILITY; BURGERS-EQUATION; VRIES EQUATION; MODEL; SYSTEMS; FLUX;

D O I：

10.1016/j.na.2019.111573

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the scalar diffusive dispersive conservation laws where the far field states are prescribed. Especially, we deal with the generalized models for Korteweg-de Vries-Burgers-Kuramoto equation. When the corresponding Riemann problem for the hyperbolic part admits a Riemann solution which consists of single rarefaction wave, it is proved that the solution of the Cauchy problem tends toward the rarefaction wave as time goes to infinity. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：19

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