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 Uspekhi Mat. Nauk, 2003, Volume 58, Issue 2(350), Pages 3–44 (Mi umn609)

$L_{3,\infty}$-solutions of the Navier–Stokes equations and backward uniqueness

L. Escauriazaa, G. A. Sereginb, V. Šverakc

a Universidad del Pais Vasco-Euskal Herriko Unibertsitatea, Dipartimento di Matematicas
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
c University of Minnesota, School of Mathematics

Abstract: It is shown that the $L_{3,\infty}$-solutions of the Cauchy problem for the three-dimensional Navier–Stokes equations are smooth.

DOI: https://doi.org/10.4213/rm609

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English version:
Russian Mathematical Surveys, 2003, 58:2, 211–250

Bibliographic databases:

UDC: 517.9
MSC: Primary 35Q30; Secondary 35B65, 35D10, 35A05, 35K05, 35K60, 35B60, 76D05

Citation: L. Escauriaza, G. A. Seregin, V. Šverak, “$L_{3,\infty}$-solutions of the Navier–Stokes equations and backward uniqueness”, Uspekhi Mat. Nauk, 58:2(350) (2003), 3–44; Russian Math. Surveys, 58:2 (2003), 211–250

Citation in format AMSBIB
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