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 |
