New version of the Ladyzhenskaya–Prodi–Serrin condition

Seregin, G.

doi:10.1090/S1061-0022-06-00944-7

New version of the Ladyzhenskaya–Prodi–Serrin condition
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by G. A. Seregin
Translated by: A. Plotkin

St. Petersburg Math. J. 18 (2007), 89-103

DOI: https://doi.org/10.1090/S1061-0022-06-00944-7

Published electronically: November 27, 2006

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Abstract:

A new local version of the Ladyzhenskaya–Prodi–Serrin regularity condition for weak solutions of the nonstationary 3-dimensional Navier–Stokes system is proved. The novelty is in that the energy of the solution is not assumed to be finite.

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