29 citations · 62 across the 5 of their papers we have counts for
6 papers
Pseudospectral bound and transition threshold for the 3D Kolmogorov flow
Te Li, Dongyi Wei, Zhifei Zhang
In this paper, we establish the pseudospectral bound for the linearized operator of the Navier-Stokes equations around the 3D Kolmogorov flow. Using the pseudospectral bound and th…
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…
Uniqueness of the Mean Field Equation and Rigidity of Hawking Mass
Yuguang Shi, Jiacheng Sun, Gang Tian +1
In this paper, we prove that the even solution of the mean field equation on must be axially symmetric when . In particular, zero is the only even s…
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…
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…
Energy identity for approximate harmonic maps from surface to general targets
Wendong Wang, Dongyi Wei, Zhifei Zhang
Let be a sequence of mappings from a closed Riemannian surface to a general Riemannian manifold . If satisfies \beno \sup_{n}\big(\|\nabla u_n\|_{L^2(M)}+\|τ(u_n…