Global well posedness for the Maxwell-Navier-Stokes system in 2D

Nader Masmoudi

doi:10.1016/j.matpur.2009.08.007

Global well posedness for the Maxwell-Navier-Stokes system in 2D

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

Abstract

We prove global existence of regular solutions to the full MHD system (or more precisely the Maxwell-Navier-Stokes system) in 2D. We also provide an exponential growth estimate for the H^s norm of the solution when the time goes to infinity.

Original language	English (US)
Pages (from-to)	559-571
Number of pages	13
Journal	Journal des Mathematiques Pures et Appliquees
Volume	93
Issue number	6
DOIs	https://doi.org/10.1016/j.matpur.2009.08.007
State	Published - Jun 2010

Keywords

Global well-posedness
MHD
Maxwell equations
Navier-Stokes equations

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1016/j.matpur.2009.08.007

Cite this

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title = "Global well posedness for the Maxwell-Navier-Stokes system in 2D",

abstract = "We prove global existence of regular solutions to the full MHD system (or more precisely the Maxwell-Navier-Stokes system) in 2D. We also provide an exponential growth estimate for the Hs norm of the solution when the time goes to infinity.",

keywords = "Global well-posedness, MHD, Maxwell equations, Navier-Stokes equations",

author = "Nader Masmoudi",

year = "2010",

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KW - MHD

KW - Maxwell equations

KW - Navier-Stokes equations

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Global well posedness for the Maxwell-Navier-Stokes system in 2D

Abstract

Keywords

ASJC Scopus subject areas

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