On the global well-posedness of the Euler-Boussinesq system with fractional dissipation

T. Hmidi; M. Zerguine

doi:10.1016/j.physd.2009.12.009

On the global well-posedness of the Euler-Boussinesq system with fractional dissipation

T. Hmidi, M. Zerguine

Mathematics

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

Abstract

We study the global well-posedness of the Euler-Boussinesq system with the term dissipation |D|α on the temperature equation. We prove that for α > 1 the coupled system has a global unique solution for initial data with critical regularities.

Original language	English (US)
Pages (from-to)	1387-1401
Number of pages	15
Journal	Physica D: Nonlinear Phenomena
Volume	239
Issue number	15
DOIs	https://doi.org/10.1016/j.physd.2009.12.009
State	Published - Aug 1 2010

Keywords

Besov spaces
Euler-Boussinesq system
Paradifferential calculus

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/j.physd.2009.12.009

Cite this

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title = "On the global well-posedness of the Euler-Boussinesq system with fractional dissipation",

abstract = "We study the global well-posedness of the Euler-Boussinesq system with the term dissipation |D|α on the temperature equation. We prove that for α > 1 the coupled system has a global unique solution for initial data with critical regularities.",

keywords = "Besov spaces, Euler-Boussinesq system, Paradifferential calculus",

author = "T. Hmidi and M. Zerguine",

year = "2010",

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AU - Zerguine, M.

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N2 - We study the global well-posedness of the Euler-Boussinesq system with the term dissipation |D|α on the temperature equation. We prove that for α > 1 the coupled system has a global unique solution for initial data with critical regularities.

AB - We study the global well-posedness of the Euler-Boussinesq system with the term dissipation |D|α on the temperature equation. We prove that for α > 1 the coupled system has a global unique solution for initial data with critical regularities.

KW - Besov spaces

KW - Euler-Boussinesq system

KW - Paradifferential calculus

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On the global well-posedness of the Euler-Boussinesq system with fractional dissipation

Abstract

Keywords

ASJC Scopus subject areas

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