Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590394 | Journal of Functional Analysis | 2014 | 52 Pages |
Abstract
Studied in this paper is the Cauchy problem of the two-dimensional magnetohydrodynamics system with inhomogeneous density and electrical conductivity. It is shown that the 2-D incompressible inhomogeneous magnetohydrodynamics system with a constant viscosity is globally well-posed for a generic family of the variations of the initial data and an inhomogeneous electrical conductivity. Moreover, it is established that the system is globally well-posed in the critical spaces if the electrical conductivity is homogeneous.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Guilong Gui,