Solutions globales d'énergie infinie de l'équation de Navier-Stokes 2D

Pierre Germain

doi:10.1016/j.crma.2005.02.012

Solutions globales d'énergie infinie de l'équation de Navier-Stokes 2D

Translated title of the contribution: Global solutions of infinite energy for the 2D Navier-Stokes equation

Pierre Germain

Mathematics

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

Abstract

We study in this Note the solutions of the 2D Navier-Stokes equations with initial data in ∂BMO. For u _t=0 in the closure of the Schwartz class, we obtain the existence and uniqueness of a global solution, and besides an estimate on its norm in ∂BMO.

Translated title of the contribution	Global solutions of infinite energy for the 2D Navier-Stokes equation
Original language	French
Pages (from-to)	547-550
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	340
Issue number	7
DOIs	https://doi.org/10.1016/j.crma.2005.02.012
State	Published - Apr 1 2005

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2005.02.012

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abstract = "We study in this Note the solutions of the 2D Navier-Stokes equations with initial data in ∂BMO. For u t=0 in the closure of the Schwartz class, we obtain the existence and uniqueness of a global solution, and besides an estimate on its norm in ∂BMO.",

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year = "2005",

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Solutions globales d'énergie infinie de l'équation de Navier-Stokes 2D

Abstract

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