Zhejiang-Hokudai Joint Workshop (Math)

Poster Session

Poster preview: 10:00 am-10:30 am, March 28, 2018  

Poster session: 10:30 am-12:00 pm, March 28, 2018

Participants:

China: DU Lihuai, LIN Xueyun, LIU Mengyun, CAO Zhenbin, WANG Kunbo, GONG Yuxuan, DAI Pingfei

Japan: Ko FUJISAWA, Ikki FUKUDA, Ryuki KANETA, Guo WEILI, So YAMAGATA, Kogo YOSHIKAWA

Venue: Room 316, Ouyang Building, Yuquan Campus


Academic Report 

Topic: Global existence for nonlinear damped wave equations with potential

Time: 14:00-15:00, March 28

Venue: Room 314, Ouyang Building, Yuquan Campus

Speaker: Prof. Hideo Kubo (Hokudai)

Abstract: 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.

Topic: On free boundary problems in ideal incompressible complex fluids

Time: 15:30-16:30, March 28

Venue: Room 314, Ouyang Building, Yuquan Campus

Speaker: Prof. Wei Wang (Zhejiang University)

Abstract: 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.

 

Contact: ZHANG Ting (zhangting79@zju.edu.cn)

We look forward to your attendance!


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