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dc.contributor.advisorConstantin, Adrian
dc.contributor.authorHenry, David
dc.date.accessioned2019-04-30T09:12:26Z
dc.date.available2019-04-30T09:12:26Z
dc.date.issued2007
dc.identifier.citationDavid Henry, 'Aspects of the mathematical theory of water waves', [thesis], Trinity College (Dublin, Ireland). School of Mathematics, 2007, pp 95
dc.identifier.otherTHESIS 8255
dc.identifier.urihttp://hdl.handle.net/2262/86370
dc.description.abstractIn this thesis we study various aspects of the mathematical theory of water waves. In Chapter 2 some qualitative results for two recently-derived nonlinear models for shallow water waves are presented. In the first part of the chapter we examine the solutions of a family of nonlinear differential equations which initially have compact support, and investigate whether they retain this property over a nontrivial time interval. In the second section of Chapter 2 we particularise to the Degasperis-Procesi equation and conduct a more detailed analysis of the propagation speed of solutions for a larger class of initial data, achieving results on the persistence properties of solutions and the unique continuation of solutions.
dc.format1 volume
dc.language.isoen
dc.publisherTrinity College (Dublin, Ireland). School of Mathematics
dc.relation.isversionofhttp://stella.catalogue.tcd.ie/iii/encore/record/C__Rb12985825
dc.subjectMathematics, Ph.D.
dc.subjectPh.D. Trinity College Dublin
dc.titleAspects of the mathematical theory of water waves
dc.typethesis
dc.type.supercollectionthesis_dissertations
dc.type.supercollectionrefereed_publications
dc.type.qualificationlevelDoctoral
dc.type.qualificationnameDoctor of Philosophy (Ph.D.)
dc.rights.ecaccessrightsopenAccess
dc.format.extentpaginationpp 95
dc.description.noteTARA (Trinity's Access to Research Archive) has a robust takedown policy. Please contact us if you have any concerns: rssadmin@tcd.ie


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