GLOBAL ASYMPTOTIC STABILITY OF THE RAREFACTION WAVES TO THE CAUCHY PROBLEM FOR THE GENERALIZED ROSENAU-KORTEWEG-DE VRIES-BURGERS EQUATION

被引：0

作者：

Yoshida, Natsumi ^{[1
]}

机构：

[1] Univ Yamanashi, Fac Educ, Grad Fac Interdisciplinary Res, Kofu, Yamanashi 4008510, Japan

来源：

METHODS AND APPLICATIONS OF ANALYSIS | 2023年 / 30卷 / 01期

关键词：

Rosenau-Burgers equation; Rosenau-Benjamin-Bona-Mahony-Burgers equation; Rosenau-Korteweg-de Vries-Burgers equation; convex flux; asymptotic behavior; rarefaction wave; SCALAR CONSERVATION LAW; LARGE-TIME BEHAVIOR; MULTIWAVE PATTERN; DECAY PROPERTIES; TRAVELING-WAVES; MODEL-EQUATIONS; CONVERGENCE; EXISTENCE; RATES; STEP;

D O I：

暂无

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 with the far field condition for the generalized Rosenau-Korteweg-de Vries-Burgers 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. We can further obtain the same global asymptotic stability of the rarefaction wave to the generalized Rosenau-Benjamin-Bona-Mahony-Burgers equation with a third-order dispersive term as the former one.

引用

页码：1 / 16

页数：16

共 22 条

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