110 citations · 175 across the 9 of their papers we have counts for
14 papers · 1 filter
On the defocusing semilinear wave equations in three space dimension with small power
Dongyi Wei, Shiwu Yang
By introducing new weighted vector fields as multipliers, we derive quantitative pointwise estimates for solutions of defocusing semilinear wave equation in with…
Transition threshold for the 3D Couette flow in a finite channel
Qi Chen, Dongyi Wei, Zhifei Zhang
In this paper, we study nonlinear stability of the 3D plane Couette flow at high Reynolds number in a finite channel . It…
On the 3D Relativistic Vlasov-Maxwell System with large Maxwell field
Dongyi Wei, Shiwu Yang
This paper is devoted to the study of relativistic Vlasov-Maxwell system in three space dimension. For a class of large initial data, we prove the global existence of classical sol…
Asymptotic decay for defocusing semilinear wave equations in
Dongyi Wei, Shiwu Yang
This paper is devoted to the study of asymptotic behaviors of solutions to the one-dimensional defocusing semilinear wave equation. We prove that finite energy solution tends to ze…
Linear stability of pipe Poiseuille flow at high Reynolds number regime
Qi Chen, Dongyi Wei, Zhifei Zhang
In this paper, we prove the linear stability of the pipe Poiseuille flow for general perturbations at high Reynolds number regime. This is a long-standing problem since the experim…
Diffusion and mixing in fluid flow via the resolvent estimate
Dongyi Wei
In this paper, we first present a Gearhardt-Prüss type theorem with a sharp bound for m-accretive operators. Then we give two applications: (1) give a simple proof of the result pr…