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

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arxiv 1812.11311 v5 pith:D3NPJUWB submitted 2018-12-29 math.AP

Mimi Dai This is my paper · ORCID
classification math.AP
keywords classequationleray-hopfnon-uniquesolutionsweakadaptappreciated
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Determining wavenumbers for the incompressible Hall-magneto-hydrodynamics

    math.AP 2019-08 conditional novelty 6.0 of 10

    Two Hall-MHD solutions that share their low Fourier modes up to a time-dependent determining wavenumber converge to each other in L2 as time goes to infinity.

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