380 citations · 1k across the 60 of their papers we have counts for
5 papers · 2 filters
Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle
Feimin Huang, Jie Kuang, Dehua Wang +1
We consider the stability of transonic contact discontinuity for the two-dimensional steady compressible Euler flows in a finitely long nozzle. This is the first work on the mixed-…
Large Time Behavior and Diffusion Limit for a System of Balance Laws From Chemotaxis in Multi-dimensions
Tong Li, Dehua Wang, Fang Wang +2
We consider the Cauchy problem for a system of balance laws derived from a chemotaxis model with singular sensitivity in multiple space dimensions. Utilizing energy methods, we fir…
Stationary Cahn-Hilliard-Navier-Stokes equations for the diffuse interface model of compressible flows
Zhilei Liang, Dehua Wang
A system of partial differential equations for a diffusion interface model is considered for the stationary motion of two macroscopically immiscible, viscous Newtonian fluids in a…
A Kato-type criterion for vanishing viscosity near the Onsager's critical regularity
Robin Ming Chen, Zhilei Liang, Dehua Wang
We consider a vanishing viscosity sequence of weak solutions of the three-dimensional Navier--Stokes equations on a bounded domain. In a seminal paper [25] Kato showed that for suf…
Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces
Cheng-Jie Liu, Dehua Wang, Feng Xie +1
In this paper, we are concerned with the magnetic effect on the Sobolev solvability of boundary layer equations for the 2D incompressible MHD system without resistivity. The MHD bo…