主讲老师：刘跃教授

短期课程名称：Stability of Nonlinear Dispersive Waves and Wave Collapse Phenomena

首次开课时间：2015年6月2日 下午3：00-4:00 ；6月3日 上午10：00-11:00

上课地点：包玉书9#号教学楼303

课程主要内容：

1、Mathematical models in shallow-water waves

a)     Boussinesq equations (BQ)

b)    Korteweg-de Vries equation (KdV)

c)     Benjamin-Bona-Mahoney equation (BBM)

d)    Kadomtsev-Petviashvili equations (KP)

e)     Ostrovsky equation (OS)

f)      Camassa-Holm equation (CH)

g)     Degasperis-Procesi equation (DP)

h)    Two-component Camassa-Holm system (CH2)

i)       Rotation-two-component Camassa-Holm system (RCH2)

2、Derivation of the models

a)     BQ and BBM (Caflish)

b)    OS (Ostrovsky, Hunter, etc)

c)     CH and DP (Constantin and Lanners)

d)    CH2 (Constantin-Ivarov)

e)     RCH2 (current research papers)

3、Stability of solitary waves

a)     Generalized BBM equations (Lecture Notes)

b)    CH2 (Papers)

4、Global existence and wave breaking phenomena

a)     RCH2 (Current research papers)

b)    Modified Camassa-Holm equations (MCH) (current research papers)