Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2512.23263 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908737152745472 |
|---|---|
| author | Fang, Hui Gui, Pingping Zhou, Yanping |
| author_facet | Fang, Hui Gui, Pingping Zhou, Yanping |
| contents | In this article, we study the stability and large time behavior for an multi-dimensional incompressible magnetohydrodynamical system with a velocity damping term, for small perturbations near a steady-state of magnetic field fulfilling the Diophantine condition. Our results mathematically characterize the background magnetic field exerts the stabilizing effect, and bridge the gap left by previous work with respect to the asymptotic behavior in time. Our proof approach mainly relies on the Fourier analysis and energy estimates. In addition, we provide a versatile analytical framework applicable to many other partially dissipative fluid models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23263 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global stability and asymptotic behavior for incompressible ideal MHD equations with velocity damping term Fang, Hui Gui, Pingping Zhou, Yanping Analysis of PDEs In this article, we study the stability and large time behavior for an multi-dimensional incompressible magnetohydrodynamical system with a velocity damping term, for small perturbations near a steady-state of magnetic field fulfilling the Diophantine condition. Our results mathematically characterize the background magnetic field exerts the stabilizing effect, and bridge the gap left by previous work with respect to the asymptotic behavior in time. Our proof approach mainly relies on the Fourier analysis and energy estimates. In addition, we provide a versatile analytical framework applicable to many other partially dissipative fluid models. |
| title | Global stability and asymptotic behavior for incompressible ideal MHD equations with velocity damping term |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.23263 |