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September 1, 20240 citations

Liouville-Type Theorem for Steady Helically Symmetric MHD System in R3

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JHJingwen Han

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Abstract

We show that any bounded smooth helically symmetric solution ( u , h ) in R 3 must be constant vectors. This is an extension of previous result17, Theorem 1.1 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.

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Jingwen Han (2024) studied this question.

synapsesocial.com/papers/68e59e8eb6db6435875387dchttps://doi.org/10.22541/au.172519523.33850973/v1
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