Global smooth solutions of MHD equations with large data
arXiv:1512.00646 · doi:10.1016/j.jde.2016.03.002
Abstract
In this paper, we establish the global existence of smooth solutions of the three-dimensional MHD system for a class of large initial data. Both the initial velocity and magnetic field can be arbitrarily large in the critical norm.
This paper was published in JDE in 2016, but there is a small mistake in the original paper which is now corrected in this version. We would like to thank Prof. Chemin for pointing out this mistake to us
References in corpus (4)
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Cited by in corpus (5)
- On 3D Hall-MHD equations with fractional Laplacians: global well-posedness
- Global Large Smooth Solutions for 3-D Hall-magnetohydrodynamics
- Global smooth solutions of the generalized MHD equations with large data
- A class of global large, smooth solutions for the magnetohydrodynamics with the Hall and ion-slip effects
- Forward Discretely Self-Similar Solutions of the MHD Equations and the Viscoelastic Navier-Stokes Equations with Damping