Boundary regularity criteria for suitable weak solutions of the magnetohydrodynamic equations
نویسندگان
چکیده
We present some new regularity criteria for suitable weak solutions of magnetohydrodynamic equations near boundary in dimension three. We prove that suitable weak solutions are Hölder continuous near boundary provided that either the scaled L x,t-norm of the velocity with 3/p+ 2/q ≤ 2, 2 < q <∞, or the scaled L x,t-norm of the vorticity with 3/p+ 2/q ≤ 3, 2 < q <∞ are sufficiently small near the boundary.
منابع مشابه
M ay 2 00 5 Regularity criteria for suitable weak solutions of the Navier - Stokes equations near the boundary
We present some new regularity criteria for “suitable weak solutions” of the Navier-Stokes equations near the boundary in dimension three. We prove that suitable weak solutions are Hölder continuous up to the boundary provided that the scaled mixed norm L x,t with 3/p + 2/q ≤ 2, 2 < q ≤ ∞, (p, q) 6= (3/2,∞), is small near the boundary. Our methods yield new results in the interior case as well....
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