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Korteweg-de Vries-Burgers equation on a segment

dc.creatorKaikina, Elena I.
dc.creatorGuardado-Zavala, Leonardo
dc.creatorRuiz-Paredes, Hector F.
dc.creatorJuarez Zirate, S.
dc.date2010-03-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1425
dc.identifier10.4067/S0719-06462010000100005
dc.descriptionWe study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation on the interval (0, 1) We prove that if the initial data u0 ∈ L2, then there exists a unique solution u ∈ C ([0, ∞) ; L2) ∪ C ((0,∞) ; H1) of the initial-boundary value problem (0.1). We also obtain the large time asymptotic of solution uniformly with respect to x ∈ (0, 1) as t → ∞.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1425/1281
dc.sourceCUBO, A Mathematical Journal; Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal; 41–58en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 12 Núm. 1 (2010): CUBO, A Mathematical Journal; 41–58es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectDissipative Nonlinear Evolution Equationen-US
dc.subjectLarge Time Asymptoticsen-US
dc.subjectKorteweg-de Vries-Burgers equationen-US
dc.titleKorteweg-de Vries-Burgers equation on a segmenten-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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