May 19, 2024Open Access

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

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Resumen

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.

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Jingwen Han (Sun,) studied this question.

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

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