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arXiv · 1706.01377

A note on the Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations

Paolo Maremonti
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Abstract

The paper is concerned with the regularity of weak solutions to the Navier-Stokes equations. The aim is to investigate on a relaxed Prodi-Serrin condition in order to obtain regularity for t > 0. The most interesting aspect of the result is that no compatibility condition is required to the initial data $v_0\in J^2(\OO) J2({\Omega})$.

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Paolo Maremonti. 2017-06-05. A note on the Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations. https://doi.org/10.1007/s00021-017-0333-6

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