380 citations · 1k across the 60 of their papers we have counts for
62 papers
Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The -Plane
Robin Ming Chen, Tian Dai, Dehua Wang +1
We study the spectral stability of periodic shear flows for the two-dimensional Navier--Stokes equations on the -plane in the long-wave regime. While it is known that non-rotati…
Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations
Lin-An Li, Dehua Wang, Yi Wang
We investigate the vanishing viscosity limit for the one-dimensional compressible Navier-Stokes equations in the regime of two interacting shock waves from the same characteristic…
On weak solutions for the stationary Cahn-Hillard-Navier-Stokes equations with singular potential
Zhilei Liang, Sen Liu, Jiangyu Shuai +1
The stationary Navier--Stokes--Cahn--Hilliard equations are considered, governing the motion of a compressible, two-phase fluid mixture with a diffuse interface. The free energy de…
The Isometric Immersion of Negatively Curved Surfaces with Finite Total Curvature
Wentao Cao, Qing Han, Feimin Huang +1
In this paper, we study the smooth isometric immersion of a complete, simply connected surface with a negative Gauss curvature into the three-dimensional Euclidean space. A fundame…
Vanishing viscosity limits of compressible viscoelastic equations in half space
Xumin Gu, Dehua Wang, Feng Xie
In this paper we consider the vanishing viscosity limit of solutions to the initial boundary value problem for compressible viscoelastic equations in the half space. When the initi…
Weak solutions to the equations of stationary compressible flows in active liquid crystals
Zhilei Liang, Apala Majumdar, Dehua Wang +1
The equations of stationary compressible flows of active liquid crystals are considered in a bounded three-dimensional domain. The system consists of the stationary Navier-Stokes e…