Well-posedness of Korteweg-de Vries-Burgers equation on a finite domain
type: Item
instance of: scholarly article
title: Well-posedness of Korteweg-de Vries-Burgers equation on a finite domain
zbMATH Open document ID: 1388.35172
author: Jie Li
author: Kangsheng Liu
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2018-02-28T00:00:00Z
review text: The authors prove local-in-time well-posedness in the scale of Sobolev spaces of the initial-boundary value problem with nonhomogeneous boundary conditions for the Korteweg-de Vries-Burgers equation on a finite interval. Physical motivations to study such a problem stem from ferroelectricity theory. Then, continuation of solutions to global-in-time ones is proved using classical arguments of nonlinear interpolation (cf. [\textit{J. Bona} and \textit{R. Scott}, Duke Math. J. 43, 87--99 (1976; Zbl 0335.35032)]).
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 82D45
zbMATH DE Number: 6844795
zbMATH Keywords: Korteweg-de Vries-Burgers equation
zbMATH Keywords: nonhomogeneous boundary conditions
zbMATH Keywords: well-posedness
MaRDI profile type: Publication
full work available at URL: s13226-016-0210-7
OpenAlex ID: W2562252906
cites work: A non-linear equation incorporating damping and dispersion
cites work: Q3718361
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cites work: New class of solutions of the Korteweg-de Vries-Burgers equation
cites work: Boundary-value problem for the Korteweg-de Vries-Burgers type equation
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DOI: 10.1007/S13226-016-0210-7
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description: scientific article; zbMATH DE number 6844795