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

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

31 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
Externally published	Yes

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

Cite this

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

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.",

keywords = "Blow-up of smooth solutions, bmo",

author = "Takayoshi Ogawa and Yasushi Taniuchi",

year = "2003",

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AU - Taniuchi, Yasushi

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N2 - 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.

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

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IS - 1

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

Abstract

Keywords

ASJC Scopus subject areas

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