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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…
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…
Inviscid Limit of Compressible Viscoelastic Equations with the No-Slip Boundary Condition
Dehua Wang, Feng Xie
The inviscid limit for the two-dimensional compressible viscoelastic equations on the half plane is considered under the no-slip boundary condition. When the initial deformation te…