Asymptotic properties of solutions of a KdV-Burgers equation with localized dissipation

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dc.contributor.authorHuang, Guoweien
dc.contributor.committeechairRussell, David L.en
dc.contributor.committeememberKim, Jong Uhnen
dc.contributor.committeememberLin, Taoen
dc.contributor.committeememberRenardy, Michael J.en
dc.contributor.committeememberRogers, Robert C.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:22:07Zen
dc.date.adate2005-10-24en
dc.date.available2014-03-14T21:22:07Zen
dc.date.issued1994-12-05en
dc.date.rdate2005-10-24en
dc.date.sdate2005-10-24en
dc.description.abstractWe study the Korteweg-de Vries-Burgers equation. With a deep investigation into the spectral and smoothing properties of the linearized system, it is shown by applying Banach Contraction Principle and Gronwall's Inequality to the integral equation based on the variation of parameters formula and explicit representation of the operator semigroup associated with the linearized equation that, under appropriate assumption appropriate assumption on initial states w(x, 0), the nonlinear system is well-posed and its solutions decay exponentially to the mean value of the initial state in H1(O, 1) as t -> +".en
dc.description.degreePh. D.en
dc.format.extentv, 80 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-10242005-124128en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10242005-124128/en
dc.identifier.urihttp://hdl.handle.net/10919/40133en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1994.H8357.pdfen
dc.relation.isformatofOCLC# 32777689en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1994.H8357en
dc.subject.lcshBurgers equationen
dc.subject.lcshKorteweg-de Vries equationen
dc.titleAsymptotic properties of solutions of a KdV-Burgers equation with localized dissipationen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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