217 citations · 1.8k across the 81 of their papers we have counts for
6 papers · 2 filters
Linear inviscid damping and enhanced dissipation for the Kolmogorov flow
Dongyi Wei, Zhifei Zhang, Weiren Zhao
In this paper, we prove the linear inviscid damping and voticity depletion phenomena for the linearized Euler equations around the Kolmogorov flow. These results confirm Bouchet an…
Global well-posedness of the MHD equations via the comparison principle
Dongyi Wei, Zhifei Zhang
In this paper, we prove the global well-posedness of the incompressible MHD equations near a homogeneous equilibrium in the domain by using the c…
Relative entropy, weak-strong uniqueness and conditional regularity for a compressible Oldroyd-B model
Yong Lu, Zhifei Zhang
We consider the compressible Oldroyd-B model derived in \cite{Barrett-Lu-Suli}, where the existence of global-in-time finite energy weak solutions was shown in two dimensional sett…
Well-posedness of the plasma-vacuum interface problem for ideal incompressible MHD
Yongzhong Sun, Wei Wang, Zhifei Zhang
In this paper, we prove the local well-posedness of plasma-vacuum interface problem for ideal incompressible magnetohydrodynamics under the stability condition: the magnetic field…
Linear inviscid damping and vorticity depletion for shear flows
Dongyi Wei, Zhifei Zhang, Weiren Zhao
In this paper, we prove the linear damping for the 2-D Euler equations around a class of shear flows under the assumption that the linearized operator has no embedding eigenvalues.…
Pseudospectral and spectral bounds for the Oseen vortices operator
Te Li, Dongyi Wei, Zhifei Zhang
In this paper, we solve Gallay's conjecture on the spectral lower bound and pseudospecrtal bound for the linearized operator of the Navier-Stokes equation in around rapidly r…