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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… Click to show full 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.
Keywords:
stationary mhd;
theorems stationary;
type theorems;
mhd equations;
liouville type
Journal Title: Nonlinearity
Year Published: 2021
Link to full text (if available)
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Journal Title: Nonlinearity
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!