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arXiv · 1812.11311

Non-unique weak solutions in Leray-Hopf class of the 3D Hall-MHD system

Mimi Dai
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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.

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Mimi Dai. 2018-12-29. Non-unique weak solutions in Leray-Hopf class of the 3D Hall-MHD system. https://arxiv.org/abs/1812.11311

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