Well-posedness and wave breaking for a shallow water wave model with large amplitude
type: Item
instance of: scholarly article
title: Well-posedness and wave breaking for a shallow water wave model with large amplitude
zbMATH Open document ID: 1439.35414
author: Shouming Zhou
published in: Journal of Evolution Equations
publication date: 2020-04-15T00:00:00Z
review text: The author considers a Cauthy problem of highly nonlinear shallow wave equations. He establishes the local well-posedness of the equation in Besov spaces by using the Littlewood-Paley decomposition and transport equation theory, also determines the precise blow-up mechanism for the strong solutions and investigates the asymptotic behaviors of the strong equations to this equation at infinity. The results here improve the corresponding work for this model in [\textit{R. Quirchmayr}, J. Evol. Equ. 16, No. 3, 539--567 (2016; Zbl 1360.35189)].
reviewed by: Jipeng Cheng
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35D35
zbMATH DE Number: 7189577
zbMATH Keywords: shallow water waves of large amplitude
zbMATH Keywords: well-posedness
zbMATH Keywords: Besov spaces
zbMATH Keywords: wave breaking
MaRDI profile type: Publication
full work available at URL: s00028-019-00518-4
OpenAlex ID: W2947487289
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Wikidata QID: Q127803707
DOI: 10.1007/S00028-019-00518-4
description: scientific article; zbMATH DE number 7189577