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LIOUVILLE-TYPE THEOREM FOR STEADY HELICALLY SYMMETRIC MHD SYSTEM IN R3
  • JINGWEN HAN
JINGWEN HAN
Shanghai Jiaotong University School of Mathematical Sicences

Corresponding Author:[email protected]

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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 result[17, 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.
23 Aug 2024Submitted to Mathematical Methods in the Applied Sciences
24 Aug 2024Submission Checks Completed
24 Aug 2024Assigned to Editor
04 Sep 2024Review(s) Completed, Editorial Evaluation Pending
15 Sep 2024Reviewer(s) Assigned