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

Published 29 Dec 2018 in math.AP | (1812.11311v5)

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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Authors (1)

  1. Mimi Dai 

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