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

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Nonlinearity

سال: 2021

ISSN: ['0951-7715', '1361-6544']

DOI: https://doi.org/10.1088/1361-6544/ac3f8b