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Notes on the global well-posedness for the Maxwell-Navier-Stokes system - MaRDI portal

Notes on the global well-posedness for the Maxwell-Navier-Stokes system (Q2015504)

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scientific article; zbMATH DE number 6306802
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English
Notes on the global well-posedness for the Maxwell-Navier-Stokes system
scientific article; zbMATH DE number 6306802

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    Notes on the global well-posedness for the Maxwell-Navier-Stokes system (English)
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    23 June 2014
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    Summary: \textit{N. Masmoudi} [J. Math. Pures Appl. (9) 93, No. 6, 559--571 (2010; Zbl 1192.35133)] obtained global well-posedness for 2D Maxwell-Navier-Stokes system. In this paper, we reprove global existence of regular solutions to the 2D system by using energy estimates and Brezis-Gallouet inequality. Also we obtain a blow-up criterion for solutions to 3D Maxwell-Navier-Stokes system.
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    Maxwell-Navier-Stokes system
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    regular solutions
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