Analysis Seminar

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Large Time Behavior of Solutions to 3-D MHD System with Initial Data near Equilibrium

Speaker: Ping Zhang, AMSS

Location: Warren Weaver Hall 1302

Date: Thursday, February 2, 2017, 11 a.m.

Synopsis:

Given initial data \((b_0,u_0)\) close enough to the equilibrium state \((e_3,0),\) we prove that the 3-D incompressible MHD system without magnetic diffusion has a unique global solution \((b,u).\) Moreover,we prove that \((b(t)-e_3,u(t))\) decay to zero with rates in both \(L^\infty\) and \(L^2\) norm.

This is a joint work with Wen Deng.