dc.contributor.advisor | Ehrnstrøm, Mats | nb_NO |
dc.contributor.author | Aasen, Ailo | nb_NO |
dc.date.accessioned | 2014-12-19T13:20:18Z | |
dc.date.available | 2014-12-19T13:20:18Z | |
dc.date.created | 2014-10-22 | nb_NO |
dc.date.issued | 2014 | nb_NO |
dc.identifier | 757582 | nb_NO |
dc.identifier | ntnudaim:11307 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/247407 | |
dc.description.abstract | This thesis is concerned with the water wave problem. Using local bifurcation we establish small-amplitude steady and periodic solutions of the Euler equations with vorticity. Our approach is based on that of Ehrnström, Escher and Wahlén \cite{EEW11}, the main difference being that we use new bifurcation parameters. The bifurcation is done both from a one-dimensional and a two-dimensional kernel, the latter bifurcation giving rise to waves having more than one crest in each minimal period. We also give a novel and rudimentary proof of a key lemma establishing the Fredholm property of the elliptic operator associated with the water wave problem. Furthermore, we investigate derivatives of the bifurcation curve, and present a new result for the corresponding linear problem. | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.title | A Study of Rotational Water Waves using Bifurcation Theory | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 73 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for naturvitenskap og teknologi, Institutt for fysikk | nb_NO |