数学科学系

Department of Mathematical Sciences

Numerical Study of the Kadomtsev-Petviashvili Equation

报告题目Numerical Study of the Kadomtsev-Petviashvili Equation

 

报告人Prof. Christian Klein (Universite' de Bourgogne, France)

 

时间2013611(星期二)16:00-17:00

 

地点理科楼数学系A304

 

摘要We present an accurate numerical study of the Kadomtsev-Petviashvili (KP) equation. In particular, we are concerned with the small dispersion limit of this model, where no comprehensive analytical description exists so far. To this end, we first study a similar highly oscillatory regime for asymptotically small solutions, which can be described via the Davey-Stewartson system. In a second step, we investigate numerically the small dispersion limit of the KP model in the case of large amplitudes. Similarities and differences to the much better studied Korteweg-de Vries situation are discussed as well as the dependence of the limit on the additional transverse coordinate. We also study the stability of exact solutions to the KP equation, and the appearence of blowup in generalized KP equations.

 

联系人林润亮