Large norm inflation of the current in the viscous, non-resistive magnetohydrodynamics equations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913567953911808 |
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| author | Dolce, Michele Knobel, Niklas Zillinger, Christian |
| author_facet | Dolce, Michele Knobel, Niklas Zillinger, Christian |
| contents | We consider the ideally conducting, viscous magnetohydrodynamics (MHD) equations in two dimensions. Specifically, we study the nonlinear dynamics near a combination of Couette flow and a constant magnetic field in a periodic infinite channel. In contrast to the Navier-Stokes equations this system is shown to exhibit algebraic instability and large norm inflation of the magnetic current on non-perturbative time scales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22804 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large norm inflation of the current in the viscous, non-resistive magnetohydrodynamics equations Dolce, Michele Knobel, Niklas Zillinger, Christian Analysis of PDEs We consider the ideally conducting, viscous magnetohydrodynamics (MHD) equations in two dimensions. Specifically, we study the nonlinear dynamics near a combination of Couette flow and a constant magnetic field in a periodic infinite channel. In contrast to the Navier-Stokes equations this system is shown to exhibit algebraic instability and large norm inflation of the magnetic current on non-perturbative time scales. |
| title | Large norm inflation of the current in the viscous, non-resistive magnetohydrodynamics equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.22804 |