380 citations · 1k across the 60 of their papers we have counts for
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Linear Stability of Compressible Vortex Sheets in Two-Dimensional Elastodynamics
Robin Ming Chen, Jilong Hu, Dehua Wang
The linear stability of rectilinear compressible vortex sheets is studied for two-dimensional isentropic elastic flows. This problem has a free boundary and the boundary is charact…
Isometric Immersion of Surface with Negative Gauss Curvature and the Lax-Friedrichs Scheme
Wentao Cao, Feimin Huang, Dehua Wang
The isometric immersion of two-dimensional Riemannian manifold with negative Gauss curvature into the three-dimensional Euclidean space is considered through the Gauss-Codazzi equa…
Global Existence and Regularity for the Active Liquid Crystal System
Gui-Qiang Chen, Apala Majumdar, Dehua Wang +1
In this paper, we study the active hydrodynamics, described in the Q-tensor liquid crystal framework. We prove the existence of global weak solutions in dimension two and three, wi…
Strong solutions to the compressible Navier-Stokes-Vlasov-Fokker-Planck equations: Global existence near the equilibrium and large time behavior
Fucai Li, Yanmin Mu, Dehua Wang
A kinetic-fluid model describing the evolutions of disperse two-phase flows is considered. The model consists of the Vlasov-Fokker-Planck equation for the particles (disperse phase…
Isometric Immersions of Surfaces with Two Classes of Metrics and Negative Gauss Curvature
Wentao Cao, Feimin Huang, Dehua Wang
The isometric immersion of two-dimensional Riemannian manifolds or surfaces with negative Gauss curvature into the three-dimensional Euclidean space is studied in this paper. The g…
Isometric embedding via strongly symmetric positive systems
Gui-Qiang Chen, Jeanne Clelland, Marshall Slemrod +2
We give a new proof for the local existence of a smooth isometric embedding of a smooth -dimensional Riemannian manifold with nonzero Riemannian curvature tensor into -dimens…