dc.contributor.advisor | Constantin, Adrian | |
dc.contributor.author | Henry, David | |
dc.date.accessioned | 2019-04-30T09:12:26Z | |
dc.date.available | 2019-04-30T09:12:26Z | |
dc.date.issued | 2007 | |
dc.identifier.citation | David Henry, 'Aspects of the mathematical theory of water waves', [thesis], Trinity College (Dublin, Ireland). School of Mathematics, 2007, pp 95 | |
dc.identifier.other | THESIS 8255 | |
dc.description.abstract | In 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.format | 1 volume | |
dc.language.iso | en | |
dc.publisher | Trinity College (Dublin, Ireland). School of Mathematics | |
dc.relation.isversionof | http://stella.catalogue.tcd.ie/iii/encore/record/C__Rb12985825 | |
dc.subject | Mathematics, Ph.D. | |
dc.subject | Ph.D. Trinity College Dublin | |
dc.title | Aspects of the mathematical theory of water waves | |
dc.type | thesis | |
dc.type.supercollection | thesis_dissertations | |
dc.type.supercollection | refereed_publications | |
dc.type.qualificationlevel | Doctoral | |
dc.type.qualificationname | Doctor of Philosophy (Ph.D.) | |
dc.rights.ecaccessrights | openAccess | |
dc.format.extentpagination | pp 95 | |
dc.description.note | TARA (Trinity's Access to Research Archive) has a robust takedown policy. Please contact us if you have any concerns: rssadmin@tcd.ie | |
dc.identifier.uri | http://hdl.handle.net/2262/86370 | |