On the weakly nonlinear Kelvin-Helmholtz instability of tangential discontinuities in MHD (Q2891096)
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scientific article; zbMATH DE number 6045790
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the weakly nonlinear Kelvin-Helmholtz instability of tangential discontinuities in MHD |
scientific article; zbMATH DE number 6045790 |
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13 June 2012
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nonlinear surface waves
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Hadamard instability
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On the weakly nonlinear Kelvin-Helmholtz instability of tangential discontinuities in MHD (English)
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This paper derives equations for a weakly nonlinear Kelvin Helmholtz instability and studies the dynamics of tangential discontinuities in ideal incompressible MHD close to the onset of a Kelvin-Helmholtz instability. It is shown that the nonlinearity does not regularize the Hadamard instability of the linearized equation; rather, it has a destabilizing effect and gives a criterion for it to occur.
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