On the Well-Posedness for the Viscous Shallow Water Equations

Qionglei Chen, Changxing Miao, Zhifei Zhang

Type: Article

Publication Date: 2008-01-01

Citations: 40

DOI: https://doi.org/10.1137/060660552

Abstract

In this paper, we prove the existence and uniqueness of the solutions for the two-dimensional viscous shallow water equations with low regularity assumptions on the initial data as well as the initial height bounded away from zero.

Locations

arXiv (Cornell University) - View - PDF
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SIAM Journal on Mathematical Analysis - View

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+ PDF Chat	Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires	1981	Jean-Michel Bony
+	Recent Mathematical Results and Open Problems about Shallow Water Equations	2006	Didier Bresch Benoı̂t Desjardins Guy Métivier
+	New thoughts on Besov spaces	1976	Jaak Peetre
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+	Global existence in critical spaces for compressible Navier-Stokes equations	2000	Raphaël Danchin
+	On the uniqueness in critical spaces for compressible Navier-Stokes equations	2005	Raphaël Danchin
+	Existence and Uniqueness of a Classical Solution of an Initial-Boundary Value Problem of the Theory of Shallow Waters	1981	Bùi An Tôn