On the global well-posedness of the critical quasi-geostrophic equation

Hammadi Abidi; Taoufik Hmidi

doi:10.1137/070682319

On the global well-posedness of the critical quasi-geostrophic equation

Hammadi Abidi, Taoufik Hmidi

Mathematics

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

Abstract

We prove the global well-posedness of the critical dissipative quasi-geostrophic equation for large initial data belonging to the critical Besov space B_∞,1 ⁰(ℝ²).

Original language	English (US)
Pages (from-to)	167-185
Number of pages	19
Journal	SIAM Journal on Mathematical Analysis
Volume	40
Issue number	1
DOIs	https://doi.org/10.1137/070682319
State	Published - 2008

Keywords

Besov spaces
Global existence
Quasi-geostrophic equation

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/070682319

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title = "On the global well-posedness of the critical quasi-geostrophic equation",

abstract = "We prove the global well-posedness of the critical dissipative quasi-geostrophic equation for large initial data belonging to the critical Besov space B∞,1 0(ℝ2).",

keywords = "Besov spaces, Global existence, Quasi-geostrophic equation",

author = "Hammadi Abidi and Taoufik Hmidi",

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AU - Hmidi, Taoufik

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KW - Besov spaces

KW - Global existence

KW - Quasi-geostrophic equation

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On the global well-posedness of the critical quasi-geostrophic equation

Abstract

Keywords

ASJC Scopus subject areas

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