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

De Nitti N, Hounkpe F, Schulz S (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Nonlinearity Institute of Physics: Hybrid Open Access

Book Volume: 35

Pages Range: 870-888

Journal Issue: 2

DOI: 10.1088/1361-6544/ac3f8b

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.

Authors with CRIS profile

Nicola De Nitti Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Additional Organisation(s)

Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

University of Oxford GB United Kingdom (GB) University of Wisconsin - Madison US United States (USA) (US)

How to cite

APA:

De Nitti, N., Hounkpe, F., & Schulz, S. (2022). On Liouville-type theorems for the 2D stationary MHD equations. Nonlinearity, 35(2), 870-888. https://doi.org/10.1088/1361-6544/ac3f8b

MLA:

De Nitti, Nicola, Francis Hounkpe, and Simon Schulz. "On Liouville-type theorems for the 2D stationary MHD equations." Nonlinearity 35.2 (2022): 870-888.

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