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dc.contributor.authorTeyekpiti, Vincent Tetteheng
dc.date.accessioned2013-07-11T12:15:51Z
dc.date.available2013-07-11T12:15:51Z
dc.date.issued2013-06-03eng
dc.date.submitted2013-06-03eng
dc.identifier.urihttp://hdl.handle.net/1956/6802
dc.description.abstractIn the first part of the study, the weak asymptotic method is used to find singular solutions of the shallow water system in both one and two space dimensions. The singular solutions so constructed are allowed to contain Dirac-delta; distributions (Espinosa & Omel'yanov, 2005). The idea is to con- struct complex-valued approximate solutions which become real-valued in the distributional limit. The approach, which extends the range f possible singular solutions, is used to construct solutions which contain combinations of hyperbolic shock waves and Dirac-delta; distributions. It is shown in the second part that the Cauchy problem for Korteweg-de Vries (KdV) type equations is locally ill-posed in a negative Sobolev space. The method is used to construct a solution which does not depend continuously on its initial data in H^{s_epsilon}, s_epsilon = -1/2 - epsiloneng
dc.format.extent799952 byteseng
dc.format.mimetypeapplication/pdfeng
dc.language.isoengeng
dc.publisherThe University of Bergeneng
dc.titleIll Posedness Results for Generalized Water Wave Modelseng
dc.typeMaster thesiseng
dc.type.degreeMastereng
dc.type.courseMAT399eng
dc.subject.archivecodeMastergradeng
dc.subject.nus753199eng
dc.type.programMAMN-MATeng
dc.rights.holderCopyright the author. All rights reserved
bora.peerreviewedNot peer reviewedeng


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