1 citations · 2 across the 8 of their papers we have counts for
8 papers
Linear damping and depletion in flowing plasma with strong sheared magnetic fields
Han Liu, Nader Masmoudi, Cuili Zhai +1
In this paper, we study the long-time behavior of the solution for the linearized ideal MHD around sheared velocity and magnetic field under Stern stability condition. We prove tha…
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…
Application of harmonic analysis techniques to regularity problems of dissipative equations
Mimi Dai, Han Liu
We discuss recent advances in the regularity problem of a variety of fluid equations and systems. The purpose is to illustrate the advantage of harmonic analysis techniques in obta…