380 citations · 1k across the 60 of their papers we have counts for
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Energy equality in compressible fluids with physical boundaries
Robin Ming Chen, Zhilei Liang, Dehua Wang +1
We study the energy balance for weak solutions of the three-dimensional compressible Navier--Stokes equations in a bounded domain. We establish an - regularity conditions…
Nonlinear stability and existence of vortex sheets for inviscid liquid-gas two-phase flow
Feimin Huang, Dehua Wang, Difan Yuan
We are concerned with the vortex sheet solutions for the inviscid two-phase flow in two dimensions. In particular, the nonlinear stability and existence of compressible vortex shee…
Global existence and exponential decay of strong solutions for the inhomogeneous incompressible Navier-Stokes equations with vacuum
Dehua Wang, Zhuan Ye
The inhomogeneous incompressible Navier-Stokes equations with fractional Laplacian dissipations in the multi-dimensional whole space are considered. The existence and uniqueness of…
Well-posedness of nonisentropic Euler equations with physical vacuum
Yongcai Geng, Yachun Li, Dehua Wang +1
We consider the local well-posedness of the one-dimensional nonisentropic Euler equations with moving physical vacuum boundary condition. The physical vacuum singularity requires t…
Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle
Feimin Huang, Jie Kuang, Dehua Wang +1
In this paper, we study the stability of supersonic contact discontinuity for the two-dimensional steady compressible Euler flows in a finitely long nozzle of varying cross-section…
Linear Stability of Compressible Vortex Sheets in 2D Elastodynamics: Variable Coefficients
Robin Ming Chen, Jilong Hu, Dehua Wang
The linear stability with variable coefficients of the vortex sheets for the two-dimensional compressible elastic flows is studied. As in our earlier work on the linear stability w…