We consider the two-dimensional (2D) Magneto-HydroDynamics (MHD) equations describing the evolution of a viscous incompressible electrically conducting fluid. In this paper, adopting the vorticity-current formulation and assuming that the initial fluid vorticity and magnetic current are in L1(ℝ2), we prove the local in-time existence and regularity of the solutions.
Sammartino Marco, Schonbek Maria Elena, Sciacca Vincenzo (2024). Dissipative 2D MHD equations with L^1 vorticity and magnetic current. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 21(3), 791-810 [10.1142/S0219891624400083].
Dissipative 2D MHD equations with L^1 vorticity and magnetic current
Sammartino Marco;Sciacca Vincenzo
2024-09-01
Abstract
We consider the two-dimensional (2D) Magneto-HydroDynamics (MHD) equations describing the evolution of a viscous incompressible electrically conducting fluid. In this paper, adopting the vorticity-current formulation and assuming that the initial fluid vorticity and magnetic current are in L1(ℝ2), we prove the local in-time existence and regularity of the solutions.
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