Magnetohydrodynamic turbulent flows: Existence results
Copyright policy )Magnetohydrodynamic turbulent flows: Existence results
The stochastic magnetohydrodynamics is studied. This branch of the theory is known to describe the turbulent motion of the fluid particles in a magnetic field. Especially the existence of solutions to the equations are investigated in detail. A sufficiently general forcing is considered which consist a regular part and a stochastic part and both depend nonlinearly on the velocity of the fluid and the magnetic field. It is not required that the functions of the forcing satisfy the Lipschitz condition. Mainly, the suitably defined weak solutions are studied.
- Mississippi School for Mathematics and Science United States
- Institute for Advanced Study United States
- College of New Jersey United States
Stochastic partial differential equations (aspects of stochastic analysis), Electromagnetic theory (general), Navier-Stokes equations for incompressible viscous fluids, magnetohydrodynamic, Magnetohydrodynamics and electrohydrodynamics, Prokhorov and Skorokhod's compactness results, turbulent flows, probabilistic weak solutions, PDEs in connection with fluid mechanics, Galerkin scheme
Stochastic partial differential equations (aspects of stochastic analysis), Electromagnetic theory (general), Navier-Stokes equations for incompressible viscous fluids, magnetohydrodynamic, Magnetohydrodynamics and electrohydrodynamics, Prokhorov and Skorokhod's compactness results, turbulent flows, probabilistic weak solutions, PDEs in connection with fluid mechanics, Galerkin scheme
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