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Asymptotic stability of explicit infinite energy blowup solutions for three dimensional incompressible Magnetohydrodynamics equations
时间:2019年07月05日 16:45 点击数:

报告人:闫卫平

报告地点:数学与统计学院617室

报告时间:2019年07月04日星期三16:00-17:00

邀请人:高忆先

报告摘要:

In this talk, we introduce the dynamical behavior near explicit singularities for three dimensional incompressible Magnetohydrodynamics (MHD) equations. More precisely, we find a family of explicit finite time blowup solutions admitted smooth initial data and infinite energy in whole space. After that, we prove asymptotic stability of those explicit finite time blowup solutions for $3$D incompressible Magnetohydrodynamics equations in a smooth bounded domain with free surface. This means we construct a family of stable blowup solutions for 3D incompressible Magnetohydrodynamics equations with smooth initial data in this domain.

主讲人简介:

闫卫平,厦门大学副教授,主要从事微分方程、动力系统方面研究。博士毕业于吉林大学,北京大学博士后,法国巴黎六大访问学者,主持国家自然科学基金面上项目、青年基金等。在JDE,DCDS,JMP等杂志发表论文十余篇。

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