Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes System-Reference-Cited by-同舟云学术

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

Published:2013 Issue: Volume:2013 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Kang Ensil¹,Lee Jihoon²

Affiliation:

1. Department of Mathematics, Chosun University, Gwangju 501-759, Republic of Korea

2. Department of Mathematics, Chung-Ang University, Seoul 156-756, Republic of Korea

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/402793.pdf

Reference18 articles.

1. Global well posedness for the Maxwell–Navier–Stokes system in 2D

2. An Introduction to Magnetohydrodynamics

3. Two regularity criteria for the 3D MHD equations

4. Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion

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