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In this paper we study the blow-up criterion of smooth solutions to the incompressible magnetohydrodynamics system in BMO space. Let (u(x, t), b(x, t)) be smooth solutions in (0, T). It is shown that the solution (u(x, t), b(x, t)) can be extended beyond t = T if (u(x, t), b(x, t)) ∈ L 1(0, T; BMO) or the vorticity (rot u(x, t), rot b(x, t)) ∈ L1(0, T;BMO) or the deformation (Def u(x, t), Def b(x, t)) ∈ L1(0, T;BMO).
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jan 1, 2006
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