Liouville‐Type Theorem for Steady Helically Symmetric MHD System in ℝ<sup>3</sup>
ABSTRACT We show that any bounded smooth helically symmetric solution in must be constant vectors. This is an extension of previous result from Navier‐Stokes system to MHD system. The proof relies on establishing a Saint‐Venant‐type estimate to characterize the growth of Dirichlet integral of nontrivial solutions.
Authors
- Jingwen Han (ORCID: https://orcid.org/0009-0007-5726-9325)
Institutions
- Shanghai Jiao Tong University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-06-11
- DOI
- https://doi.org/10.1002/mma.11144
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00