Special Session 2: Hyperbolic Partial Differential Equations and Applications

On controllability of the incompressible MHD systems

Ya-Guang Wang
Shanghai Jiao Tong University
Peoples Rep of China
Co-Author(s):    Manuel Rissel
Abstract:
In this talk, we shall introduce our recent study on the controllability of the initial boundary value problem for the incompressible magnetohydrodynamic systems. For the two-dimensional ideal incompressible MHD system, we obtained the global exact controllability by using the return method, and for the two and three dimensional viscous MHD systems with coupled Navier slip boundary condition, we deduced the global approximate controllability. This is a joint work with Manuel Rissel.