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This article is cited in 1 scientific paper (total in 1 paper)
Research Papers
A note on weak solutions to the Navier–Stokes equations that are locally in $L_\infty(L^{3,\infty})$
G. Sereginab a St. Petersburg Department of V. A. Steklov Mathematical Institute, St. Petersburg, Russia
b OxPDE, Mathematical Institute, University of Oxford, Oxford, UK
Abstract:
The objective of the note is to prove a regularity result for weak solutions to the Navier–Stokes equations that are locally in $L_\infty(L^{3,\infty})$. It reads that, in a sense, the number of singular points at each time is at most finite. This note is inspired by a recent paper of H. J. Choe, J. Wolf, M. Yang.
Keywords:
suitable weak solution, singular points, local regularity up to flat part of boundary.
Received: 17.06.2019
Citation:
G. Seregin, “A note on weak solutions to the Navier–Stokes equations that are locally in $L_\infty(L^{3,\infty})$”, Algebra i Analiz, 32:3 (2020), 238–253; St. Petersburg Math. J., 32:3 (2021), 565–576
Linking options:
https://www.mathnet.ru/eng/aa1707 https://www.mathnet.ru/eng/aa/v32/i3/p238
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Abstract page: | 219 | Full-text PDF : | 31 | References: | 26 | First page: | 14 |
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