Non-unique weak solutions in Leray-Hopf class of the 3D Hall-MHD system
Analysis of PDEs
2021-07-13 v5
Abstract
Non-unique weak solutions in Leray-Hopf class are constructed for the three dimensional magneto-hydrodynamics with Hall effect. We adapt the widely appreciated convex integration framework developed in a recent work of Buckmaster and Vicol for the Navier-Stokes equation, and with deep roots in a sequence of breakthrough papers for the Euler equation.
Cite
@article{arxiv.1812.11311,
title = {Non-unique weak solutions in Leray-Hopf class of the 3D Hall-MHD system},
author = {Mimi Dai},
journal= {arXiv preprint arXiv:1812.11311},
year = {2021}
}
Comments
39 pages