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

Nonlinear stability of the current-vortex sheet to the incompressible MHD equations
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电流涡旋片对不可压缩 MHD 方程的非线性稳定性

DOI:
10.1002/cpa.21710
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发表时间:
2018
影响因子:
3
通讯作者:
Zhifei Zhang
Zhifei Zhang
中科院分区:
数学1区
文献类型:
--
作者:
Yongzhong Sun;Wei Wang;Zhifei Zhang

文献摘要

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在本文中,我们解决了一个长期存在的问题:在Syrovatskij稳定性条件下,理想不可压缩磁流体力学中电流涡面的非线性稳定性。这一结果首次严格证实了磁场对开尔文-亥姆霍兹不稳定性的稳定作用。© 2017 Wiley Periodicals,Inc.
In this paper, we solve a long‐standing open problem: nonlinear stability of the current‐vortex sheet in the ideal incompressible magnetohydrodynamics under the Syrovatskij stability condition. This result gives the first rigorous confirmation of the stabilizing effect of the magnetic field on Kelvin‐Helmholtz instability.© 2017 Wiley Periodicals, Inc.