Topic: Incompressible inviscid resistive MHD surface waves in 2D

Date：December 16, 2017

Time：4:00 p.m. 

Venue：Room 224, Nanhai Building

Speaker: Wang Yan-jin, Xiamen University

ABOUT WANG YAN-JIN

Prof. Wang yan-jin obtained his doctor degree from Xiamen University in 2011, and once worked in the postdoctoral station of Chinese University of Hong Kong. He is also a visiting scholar of Brown University. He won the National 100 Excellent Doctoral Dissertation Award in 2013 and Natural Science Youth Fund of Fujian Province in 2015, and entered 2015 New Century Talent Supporting Project of colleges and universities in Fujian Province. He is principally engaged in the study of mathematical theory of nonlinear partial differential equation in fluid dynamics. He has published more than 20 papers in top international journals like Archive for Rational Mechanics and Analysis, Communications in Mathematical Physics, Communications in Partial Differential Equations and SIAM J. Math. Anal..

ABSTRACT

Consider the dynamics of a layer of an incompressible electrically conducting fluid interacting with the magnetic field in a two-dimensional horizontally periodic setting. The MHD system is inviscid and resistive, and the effect of surface tension on the upper free boundary is included. The global well-posedness of the problem around a non-horizontal uniform magnetic field is established. This is a joint work with Professor Zhouping Xin.