Convective-Wave Solutions of the Richard-Gavrilyuk Model for Inclined Shallow-Water Flow

被引：8

作者：

Rodrigues, L. Miguel ^{[1
]}

Yang, Zhao ^{[2
]}

Zumbrun, Kevin ^{[3
]}

机构：

[1] Univ Rennes & IUF, CNRS, UMR 6625, IRMAR, F-35000 Rennes, France

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[3] Indiana Univ, Bloomington, IN 47405 USA

来源：

WATER WAVES | 2023年 / 5卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Shallow-water equations; Stability of traveling waves; Hyperbolic balance laws; CONSERVATION-LAWS; PERIODIC-WAVES; ASYMPTOTIC STABILITY; SPECTRAL STABILITY; INSTABILITY; EQUATIONS; BEHAVIOR; FRONTS;

D O I：

10.1007/s42286-022-00072-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study for the Richard-Gavrilyuk model of inclined shallow-water flow, an extension of the classical Saint Venant equations incorporating vorticity, the new feature of convective-wave solutions analogous to contact discontinuities in inviscid conservation laws. These are traveling waves for which fluid velocity is constant and equal to the speed of propagation of the wave, but fluid height and/or enstrophy (thus vorticity) varies. Together with hydraulic shocks, they play an important role in the structure of Riemann solutions.

引用

页码：1 / 39

页数：39

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