On Liouville-type theorems for the 2D stationary MHD equations-Reference-Cited by-同舟云学术

On Liouville-type theorems for the 2D stationary MHD equations

Published:2021-12-21 Issue:2 Volume:35 Page:870-888
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

De Nitti Nicola^ORCID,Hounkpe Francis,Schulz Simon^ORCID

Abstract

Abstract We establish new Liouville-type theorems for the two-dimensional stationary magneto-hydrodynamic incompressible system assuming that the velocity and magnetic field have bounded Dirichlet integral. The key tool in our proof is observing that the stream function associated to the magnetic field satisfies a simple drift–diffusion equation for which a maximum principle is available.

Funder

Engineering and Physical Sciences Research Council

Royal Society

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1361-6544/ac3f8b/pdf

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