A Study of Dispersive Evolution Equations with Nonlocal Nonlinearities

dc.contributor.advisor	Ehrnstrøm, Mats
dc.contributor.author	Debech, Hager
dc.date.accessioned	2015-10-06T10:57:16Z
dc.date.available	2015-10-06T10:57:16Z
dc.date.created	2015-08-03
dc.date.issued	2015
dc.identifier	ntnudaim:14024
dc.identifier.uri	http://hdl.handle.net/11250/2352702
dc.description.abstract	In this thesis we consider a nonlinear-nonlocal equation of Whitham type. We prove the local well-posedness for our equation in the fractional Sobolev space by using the Picard Lindelöf existence theorem to prove the existence of a unique solution. Additionally, we use the Crandall-Rabinowitz local bifurcation theorem to prove the existence of periodic traveling waves to our nonlinear-nonlocal equation.
dc.language	eng
dc.publisher	NTNU
dc.subject	Fysikk og matematikk, Industriell matematikk
dc.title	A Study of Dispersive Evolution Equations with Nonlocal Nonlinearities
dc.type	Master thesis
dc.source.pagenumber	60