Global well-posedness of the MHD equations via the comparison principle

2017/05/29 by Dongyi Wei, Zhifei Zhang, Wei, Dongyi +1
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1705.10010

Abstract

In this paper, we prove the global well-posedness of the incompressible MHD equations near a homogeneous equilibrium in the domain R^k× T^d-k, d≥2,k≥1 by using the comparison principle and constructing the comparison function.

Citations

• Global small solutions of 2-D incompressible MHD system

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