Liouville-type theorems for the stationary ideal magnetohydrodynamics equations in Rn

Lv CAI, Ning-An LAI, Chun Kit Anthony SUEN, Man Wai YUEN

Research output: Contribution to journalArticlespeer-review

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 languageEnglish
Article number65
JournalJournal of Mathematical Fluid Mechanics
Volume26
Early online dateOct 2024
DOIs
Publication statusPublished - 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/s00021-024-00902-2

Keywords

  • Liouville theorem
  • Compressible fluids
  • Magnetohydrodynamics system
  • Axial symmetry

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