论文信息 - On Shinbrot’s conjecture for the Navier-Stokes equations

On Shinbrot’s conjecture for the Navier-Stokes equations

Marvin Shinbrot conjectured that the weak solution of the Navier-Stokes equations possess fractional derivatives in time of any order less than 1/2. In this paper, using the Hardy-Littlewood maximal theorem we prove that the conjecture is true in the two-dimensional case and it is true conditionally in the three-dimensional case.

Kewei Zhang

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