1 citations · 1 across the 3 of their papers we have counts for
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Anomalous dissipation of energy and magnetic helicity for the electron-MHD system
Mimi Dai, Han Liu
Via convex integration, we construct weak solutions to the non-resistive electron-MHD system which do not conserve energy and magnetic helicity.
On uniqueness and helicity conservation of weak solutions to the electron-MHD system
Mimi Dai, Jacob Krol, Han Liu
We study the weak solutions to the electron-MHD system and obtain a conditional uniqueness result. In addition, we prove conservation of helicity for weak solutions to the electron…
Determining wavenumbers for the incompressible Hall-magneto-hydrodynamics
Han Liu
Using Littlewood-Paley theory, one formulates the determining wavenumbers for the Hall-MHD system, defined for each individual solution . It is shown that the long time beha…
On well-posedness of generalized Hall-magneto-hydrodynamics
Mimi Dai, Han Liu
We obtain local well-posedness result for the generalized Hall-magneto-hydrodynamics system in Besov spaces ${\dot B^{-(2α_1-γ)}_{\infty, \infty}} \times {\dot B^{-(2α_2-β)}_{\inft…