中科院数学与系统科学研究院
数学研究所
研讨班
报告人： 邓雯 助理研究员
题 目：Large time behavior of solutions to MHD system with initial data near equilibrium
时 间：2018.03.23（星期五）, 11:20-11:40
地 点：数学院南楼N913室
摘 要：We prove that 3D incompressible MHD system without magnetic diffusion has a unique global solution, provided that the initial magnetic field and velocity is a small perturbation of the equilibrium state $(e_3,0)$. Moreover, the velocity field and the difference between the magnetic field and $e_3$ decay to zero and explicit rates are given. This mathematically justifies the conjecture made by physicists that the energy of MHD system is dissipated at a rate that is independent of the ohmic resistivity.
