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摘要
We give simple proofs that a weak solution u of the Navier-Stokes equations with H (1) initial data remains strong on the time interval [0, T] if it satisfies the Prodi-Serrin type condition u a L (s) (0, T;L (r,a)(Omega)) or if its L (s,a)(0, T;L (r,a)(Omega)) norm is sufficiently small, where 3 %26lt; r a parts per thousand currency sign a and (3/r) + (2/s) = 1.
- 出版日期2014-12
