Ill-posedness of the Kelvin-Helmholtz problems for incompressible MHD fluids
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Title: |
Ill-posedness of the Kelvin-Helmholtz problems for incompressible MHD fluids |
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Speaker: |
赵斌 博士，北京应用物理与计算数学研究所 |
| Inviter: |
汤厚志 博士 |
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Time & Venue: |
2023.9.12 15:00 S625 |
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Abstract: |
In this talk, we present the ill-posedness of the well-known Kelvin-Helmholtz problems of the the incompressible ideal magnetohydrodynamics(MHD) equations. We prove the linear and nonlinear Kelvin-Helmholtz instability under the condition that violates the Syrovatskij stability condition. From the opposite side, the importance of the magnetic field that satisfies the Syrovatskij stability condition to the stability of this problem has been verified. This is a joint work with Huang daiwen and Xie binqiang. |
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