Nonlinearity · 2016 · 101 citations · 17 references
Natural SciencesPhysicsComputational Fluid DynamicsDifferential EquationsFluid DynamicsBoundary ConditionsBoundary-value ProblemsMagnetohydrodynamicsMoving Boundary ProblemsNavier-stokes EquationsPartial Differential EquationsEquilibriumGlobal Well-posednessInitial Boundary ConditionsInitial Value Problem FormulationInitial-boundary Value ProblemsMagnetic DiffusionNo-slip Boundary ConditionsSlip Boundary Conditions
We study the initial boundary value problem of two dimensional MHD equations without magnetic diffusion in a strip domain. It was proved that the MHD equations have a unique global strong solution around the equilibrium state for both the non-slip boundary condition and Navier slip boundary condition on the velocity.
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