Zhejiang-Hokudai joint workshop

Zhejiang-Hokudai joint workshop

内容：Poster session:

时间：3月28日上午   10:00-10:30 poster preview

10:30-12:00 poster session.

参加人员： 中方： 杜利怀、林雪云、刘梦云、曹桢斌、王坤博、龚宇璇、戴萍飞日方：Ko FUJISAWA、Ikki FUKUDA、Ryuki KANETA、Guo WEILI、So YAMAGATA、Kogo YOSHIKAWA

地点：欧阳楼316

l  报告题目：Global existence for nonlinear damped wave equations with potential

时间：3月28日下午14:00-15:00

地点：欧阳楼314

报告人：Professor Hideo Kubo（北海道大学）

摘要: In this talk, I’d like to present a global existence result on the Cauchy

problem for nonlinear damped wave equation with potential. Assuming that the

damping term is spatially dependent and the potential have a special form,

we are able to show that there exists a classical solution for small and smooth

initial data, if the growth order of the nonlinearity is super quadratic.

We underline that this exponent is quite different from the result due to F. John

for the standard wave equation.

l  报告题目: On free boundary problems in ideal incompressible complex fluids

时间：3月28日下午15:30-16:30

地点：欧阳楼314

报告人：Professor Wei Wang(浙江大学)

摘要: It is well-known that vortex sheets for incompressible Euler equations are

not stable (called Kelvin-Helmholtz instability). However, in 1953, Syrovatskij

derived a stability condition which indicates that when the magnetic field is

sufficiently strong, current-vortex sheets for MHD equations could probably be

stable. In this talk, we will present the local-in-time existence result of the

solution for the incompressible current-vortex sheets under Syrovatskij's

stability condition, which gives a rigorous confirmation of the stabilizing

 effect of the magnetic field on the Kelvin-Helmholtz instability.

The method can also be applied to other free boundary problems in ideal

incompressible complex fluids such as the plasma-vacuum interface problem,

vortex-sheets problems in elasto-dynamics under different stability conditions.

联系人：张挺老师（zhangting79@zju.edu.cn）

欢迎广大师生参加！