Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609412 | Journal of Differential Equations | 2016 | 32 Pages |
Abstract
In this article, we consider the global existence and uniqueness of the solution to the 2D incompressible non-resistive MHD system with non-equilibrium background magnetic field. Our result implies that a strong enough non-equilibrium background magnetic field will guarantee the stability of the nonlinear MHD system. Beside the classical energy method, the interpolation inequalities and the algebraic structure of the equations coming from the incompressibility of the fluid are crucial in our arguments.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Cuili Zhai, Ting Zhang,