Abstract
We study local regularity properties of a weak solution u to the Cauchy problem of the incompressible Navier–Stokes equations. We present a new regularity criterion for the weak solution u satisfying the condition L∞(0 , T; L3 , w(R3)) without any smallness assumption on that scale, where L3 , w(R3) denotes the standard weak Lebesgue space. As an application, we conclude that there are at most a finite number of blowup points at any singular time t.
Original language | English |
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Pages (from-to) | 617-642 |
Number of pages | 26 |
Journal | Mathematische Annalen |
Volume | 377 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 2020 Jun 1 |
Bibliographical note
Publisher Copyright:© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
All Science Journal Classification (ASJC) codes
- General Mathematics