Inviscid, zero Froude number limit of the viscous shallow water system-Reference-Cited by-同舟云学术

Inviscid, zero Froude number limit of the viscous shallow water system

Published:2021-01-01 Issue:1 Volume:19 Page:531-539
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Yang Jianwei¹,Liu Mengyu¹,Hao Huiyun¹

Affiliation:

1. School of Mathematics and Statistics, North China University of Water Resources and Electric Power , Zhengzhou 450045 , Henan Province , P. R. China

Abstract

Abstract In this paper, we study the inviscid and zero Froude number limits of the viscous shallow water system. We prove that the limit system is represented by the incompressible Euler equations on the whole space. Furthermore, the rate of convergence is also obtained.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0043/pdf

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