【摘 要】
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We investigate the uniform regularity and zero kinematic viscosity-magnetic dif-fusion limit for the incompressible viscous magnetohydrodynamic equations with the Navier boundary conditions on the velocity and perfectly conducting conditions on the magnet
【机 构】
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Department of Mathematics,Nanjing University,Nanjing 210093,China;Department of Mathematics,Nanjing
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We investigate the uniform regularity and zero kinematic viscosity-magnetic dif-fusion limit for the incompressible viscous magnetohydrodynamic equations with the Navier boundary conditions on the velocity and perfectly conducting conditions on the magnetic field in a smooth bounded domain Ω (C) R3.It is shown that there exists a unique strong so-lution to the incompressible viscous magnetohydrodynamic equations in a finite time interval which is independent of the viscosity coefficient and the magnetic diffusivity coefficient.The solution is uniformly bounded in a conormal Sobolev space and W1,∞(Ω) which allows us to take the zero kinematic viscosity-magnetic diffusion limit.Moreover,we also get the rates of convergence in L∞(0,T;L2),L∞(0,T;W1,p) (2 ≤ p ＜ ∞),and L∞((0,T) × Ω) for some T＞0.
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