Sökning: "Erik Wahlén"
Hittade 3 avhandlingar innehållade orden Erik Wahlén.
1. On some Nonlinear Aspects of Wave Motion
Sammanfattning : 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. LÄS MER
2. Rotational effects in water waves
Sammanfattning : Abstract: This thesis consists of four papers related to various aspects of water waves with vorticity. Paper I: Symmetry of steady periodic gravity water waves with vorticity. LÄS MER
3. Ghostpeakons
Sammanfattning : In this thesis we study peakons (peaked solitons), a class of solutions which occur in certain wave equations, such as the Camassa–Holm shallow water equation and its mathematical relatives, the Degasperis–Procesi, Novikov and Geng– Xue equations. These four non-linear partial differential equations are all integrable systems in the sense of having Lax pairs, infinitely many conservation laws, and multipeakon solutions given by explicitly known formulas. LÄS MER