May 19, 2024Open Access

Liouville-type theorem for steady helically symmetric MHD system in R^3

Key Points

Key points are not available for this paper at this time.

Abstract

We show that any bounded smooth helically symmetric solution (, ) in R³ must be constant vectors. This is an extension of previous result 1. 1HWXAHE 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.

Read Full Paperexternally

Demander à l'IA

Bookmark

View Full Paper

Cite This Study

Jingwen Han (Sun,) studied this question.

synapsesocial.com/papers/68e69709b6db64358761d644 https://doi.org/https://doi.org/10.48550/arxiv.2405.11521

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1LIOUVILLE-TYPE THEOREM FOR STEADY HELICALLY SYMMETRIC MHD SYSTEM IN R32024
2Liouville type theorems for the 3D stationary MHD and Hall-MHD equations with non-zero constant vectors at infinity2024
3On Liouville type results for the stationary MHD in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> </mml:mrow> </mml:math>2024 · 3 citations
4Liouville type theorem for double Beltrami solutions of the Hall-MHD system in $\Bbb R^3$2025
5A general Liouville-type theorem for the 3D steady-state Magnetic-Bénard system2024

Demander à l'IA

Bookmark

View Full Paper