Abstract
In this paper, we establish Liouville-type theorems for the stationary ideal compressible magnetohydrodynamics system in Rn with n∈{1,2,3}. We address various cases when the finite energy condition is in force and the stationary density function ρ satisfies lim|x|→∞ρ(x)=ρ∞≥0. Our proof relies heavily on the good structure of the nonlinear magnetic force term and the usage of well-chosen smooth cut-off test functions. Copyright © 2024 The Author(s), under exclusive licence to Springer Nature Switzerland AG.
Original language | English |
---|---|
Article number | 65 |
Journal | Journal of Mathematical Fluid Mechanics |
Volume | 26 |
Early online date | Oct 2024 |
DOIs | |
Publication status | Published - 2024 |
Citation
Cai, L., Lai, N.-A., Suen, A., & Yuen, M. (2024). Liouville-type theorems for the stationary ideal magnetohydrodynamics equations in Rn. Journal of Mathematical Fluid Mechanics, 26, Article 65. https://doi.org/10.1007/s00021-024-00902-2Keywords
- Liouville theorem
- Compressible fluids
- Magnetohydrodynamics system
- Axial symmetry