Notes on the Global Well‐Posedness for the Maxwell‐Navier‐Stokes System

Ensil Kang and Jihoon Lee

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: Masmoudi (2010) 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.

Date: 2013
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https://doi.org/10.1155/2013/402793

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:402793

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