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

Autor:	Yang Jianwei, Liu Mengyu, Hao Huiyun
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	viscous shallow water equations incompressible euler equations low froude number limit inviscid limit 35b25 35q35 76b15 Mathematics QA1-939
Zdroj:	Open Mathematics, Vol 19, Iss 1, Pp 531-539 (2021)
Druh dokumentu:	article
ISSN:	2391-5455 2021-0043
DOI:	10.1515/math-2021-0043
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2fd28990933f4c10a9dc14bd8b2f00f1 Zobrazit plný text záznamu View record in DOAJ