| Title | On some Nonlinear Aspects of Wave Motion |
| Authors | Erik Wahlén |
| Year | 2005 |
| Pages | 65 |
| Document type | Licentiate thesis |
| Language | eng |
| Abstract English | In the first part of this thesis we consider the governing equations for capillary water waves given by the Euler equations with a free surface under the influence of surface tension over a flat bottom. We look for two-dimensional steady periodic waves. The problem is first transformed to a nonlinear elliptic equation in a rectangle. Using bifurcation and degree theory we then prove the existence of a global continuum of such waves.<br> <br> In the second part of the thesis we inverstigate an equation which is a model for shallow water waves and waves in a circular cylindrical rod of a compressible hyperelastic material. We present sufficient conditions for global existence and blow-up. |
| Keywords | water waves, bifurcation, global existence, rod equation, wabve breaking, |
| ISBN/ISSN/Other | ISSN: 1404-028X Licentiate Theses in Mathematical Sciences 2005:8 |
Questions: webmaster
Last update: 2013-04-11
Centre for Mathematical Sciences, Box 118, SE-22100, Lund. Telefon: +46 46-222 00 00 (vx)