On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain

Takayoshi Ogawa; Yasushi Taniuchi

doi:10.1016/S0022-0396(03)00013-5

On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain

Takayoshi Ogawa, Yasushi Taniuchi

SCI - Mathematics

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

29 Citations (Scopus)

Abstract

We show that a smooth solution of the 3-D Euler equations in a bounded domain breaks down, if and only if a certain norm of vorticity blows up at the same time. Here this norm is weaker than bmo-norm.

Original language	English
Pages (from-to)	39-63
Number of pages	25
Journal	Journal of Differential Equations
Volume	190
Issue number	1
DOIs	https://doi.org/10.1016/S0022-0396(03)00013-5
Publication status	Published - 2003 May 1

Keywords

Blow-up of smooth solutions
bmo

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0022-0396(03)00013-5

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