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arXiv · 1510.02228

Nonlinear stability of current-vortex sheet to the incompressible MHD equations

Yongzhong Sun·Wei Wang·Zhifei Zhang
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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.

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Yongzhong Sun, Wei Wang, Zhifei Zhang. 2015-10-08. Nonlinear stability of current-vortex sheet to the incompressible MHD equations. https://arxiv.org/abs/1510.02228

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