Nonlinear stability of current-vortex sheet to the incompressible MHD equations
Analysis of PDEs
2015-10-09 v1
Abstract
In this paper, we solve a long-standing open problem: nonlinear stability of current-vortex sheet in the ideal incompressible Magneto-Hydrodynamics under the linear stability condition. This result gives a first rigorous confirmation of the stabilizing effect of the magnetic field on Kelvin-Helmholtz instability.
Keywords
Cite
@article{arxiv.1510.02228,
title = {Nonlinear stability of current-vortex sheet to the incompressible MHD equations},
author = {Yongzhong Sun and Wei Wang and Zhifei Zhang},
journal= {arXiv preprint arXiv:1510.02228},
year = {2015}
}
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44 pages