Global classical solutions of 2D MHD system with only magnetic diffusion on periodic domain
arXiv:1701.07270 · doi:10.1063/1.5018641
Abstract
This paper studies the global existence of classical solutions to the two-dimensional incompressible magneto-hydrodynamical (MHD) system with only magnetic diffusion on the periodic domain. The approach is based on a time-weighted energy estimate, under the assumptions that the initial magnetic field is close enough to an equilibrium state and the initial data have reflection symmetry.
16 pages. arXiv admin note: text overlap with arXiv:1701.07264
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