Gespeichert in:
| 1. Verfasser: | |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2401.12548 |
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Inhaltsangabe:
- In this article, we consider the stability of the 2D magnetohydrodynamics (MHD) equations close to a combination of Couette flow and a constant magnetic field. We consider the ideal conductor limit for the case when viscosity $ν$ is larger than resistivity $κ$, $ν\ge κ>0$. For this regime, we establish a bound on the Sobolev stability threshold. Furthermore, for $κ\le ν^3$ this system exhibits instability, which leads to norm inflation of size $νκ^{-\frac 1 3 }$.