报告题目:Incompressible inviscid resistive MHD surface waves in 2D
报告人:厦门大学 王焰金(教授)
报告时间:2018年7月9日下午15:30
报告地点:数计学院4号楼302室
This talk considers the dynamics of a layer of an incompressible electrically conducting fluid interacting with the magnetic field. The upper boundary is in contact with the atmosphere, and the lower boundary is a rigid flat bottom. We prove the global well-posedness of the inviscid and resistive problem with surface tension around a non-horizontal uniform magnetic field in a two-dimensional horizontally periodic setting; moreover, the solution decays to the equilibrium almost exponentially. One of the key observations here is an induced damping structure for the fluid vorticity due to the resistivity and transversal magnetic field. This is a joint work with Professor Zhouping Xin.
王焰金教授:1984年生,主要从事流体力学中的非线性偏微分方程的数学理论研究。2013年获全国百篇优秀博士学位论文奖;2015年获福建省自然科学杰出青年基金及高校新世纪优秀人才支持计划资助;2018年入选厦门大学南强拔尖人才计划。在《Archive for Rational Mechanics and Analysis》,《Communications in Mathematical Physics》,《SIAM Journal on Mathematical Analysis》,《Communications in Partial Differential Equations》,《Annales de l'Institut Henri Poincaré Analyse non linéaire》,《Journal de Mathématiques Pures et Appliquées》,《Journal of Differential Equations》等高水平杂志上发表数十篇数学研究论文。