Remark on the Regularities of Kato's Solutions to Navier-Stokes Equations with Initial Data in Ld(Rd) |
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Authors: | Ping ZHANG |
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Institution: | Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China |
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Abstract: | Motivated by the results of J.Y.Chemin in "J.Anal.Math.,77,1999,27-50" and G.Furioli et al in "Revista Mat.Iberoamer.,16,2002,605-667",the author considers further regularities of the mild solutions to Navier-Stokes equation with initial data u0∈Ld(Rd).In particular,it is proved that if u∈C(0,T*); Ld(Rd)) is a mild solution of (NSv),then u(t,x) -evt△u0∈(L)∞ ((0,T); (B)1/d/2,∞)∩(L)1((0,T);(B)3/d/2,∞) for any T<T*. |
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Keywords: | Navier-Stokes equations Kato's solutions Para-differential decomposition |
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