Rescalings at possible singularities of Navier-Stokes equations in half-space

G. Seregin; V. Šverák

doi:10.1090/S1061-0022-2014-01317-9

Rescalings at possible singularities of Navier-Stokes equations in half-space

G. Seregin, V. Šverák

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The relationship is clarified between a possible blow-up for strong solutions of the initial boundary value problem for the incompressible Navier-Stokes equations in {x₃ > 0}, and the Liouville theorem for mild bounded ancient solutions.

Original language	English (US)
Pages (from-to)	815-833
Number of pages	19
Journal	St. Petersburg Mathematical Journal
Volume	25
Issue number	5
DOIs	https://doi.org/10.1090/S1061-0022-2014-01317-9
State	Published - 2014

Bibliographical note

Publisher Copyright:
© 2014 American Mathematical Society.

Keywords

Blow-up
Incompressible Navier-Stokes equations
Mild bounded ancient solution

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abstract = "The relationship is clarified between a possible blow-up for strong solutions of the initial boundary value problem for the incompressible Navier-Stokes equations in {x3 > 0}, and the Liouville theorem for mild bounded ancient solutions.",

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KW - Mild bounded ancient solution

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Rescalings at possible singularities of Navier-Stokes equations in half-space

Abstract

Bibliographical note

Keywords

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