On the Inhibition of Thermal Convection by a Magnetic Field under Zero Resistivity

：江飞教授
：2019-05-15 17:00
：实验楼105

      Speaker：Prof. Fei Jiang

                       Fuzhou University

Title:  On the Inhibition of Thermal Convection by a Magnetic Field under Zero Resistivity

       Time：15 May 2019,17:00

Location：实验楼105

Abstract:  We investigate the stability instability of the magnetic Rayleigh-Benard problem with zero resistivity. A stability criterion is established, under which the magnetic Benard problem is stable. The proof mainly is based on a three-layers energy method an idea of magnetic inhibition mechanism. The stable result first mathematically verifies Chandrasekhar's assertion in 1955 that the thermal instability can be inhibited by strong magnetic field in magnetohydrodynamic (MHD) fluid with zero resistivity (based on a linearized steady magnetic Benard equations). In addition, we also provide an instability criterion, under which the magnetic Rayleigh-Benard problem is unstable. The proof mainly is based on the bootstrap instability method by further developing new analysis technique. Our instability presents that the thermal instability occurs for a small magnetic field.

      Speaker Introduction：江飞，博士，福州大学教授、博士生导师。2010年厦门大学获博士学位，2010年至2012年北京应用物理与计算数学研究所从事博士后研究。获中国工业与应用数学学会 “应用数学青年科技奖”，主持福建省杰出青年基金等项目，入选福州大学旗山学者。江飞博士的研究方向为偏微分方程，论文发表在《Arch. Rational Mech. Anal.》，《Adv. Math.》，《Comm. PDE》，《J. Math. Pures Appl.》，《Calc. Var. PDE》，《J. Funct. Anal.》等。

 

 联系人：  王焰金教授