380 citations · 1k across the 60 of their papers we have counts for
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Formation of singularity for compressible viscoelasticity
Xianpeng Hu, Dehua Wang
The formation of singularity and breakdown of classical solutions to the three-dimensional compressible viscoelasticity and inviscid elasticity are considered. For the compressible…
Global solution to the incompressible flow of liquid crystals
Xiaoli Li, Dehua Wang
The initial boundary value problem for the three-dimensional incompressible flow of liquid crystals is considered in a bounded smooth domain. The existence and uniqueness is establ…
Local strong solution to the compressible magnetohydrodynamic flow with large data
Xiaoli Li, Ning Su, Dehua Wang
The three-dimensional compressible magnetohydrodynamic (MHD) isentropic flow with zero magnetic diffusivity is studied. The vanishing magnetic diffusivity causes significant diffic…
A Fluid Dynamic Formulation of the Isometric Embedding Problem in Differential Geometry
Gui-Qiang Chen, Marshall Slemrod, Dehua Wang
The isometric embedding problem is a fundamental problem in differential geometry. A longstanding problem is considered in this paper to characterize intrinsic metrics on a two-dim…
Incompressible limit for the compressible flow of liquid crystals
Dehua Wang, Cheng Yu
The connection between the compressible flow of liquid crystals with low Mach number and the incompressible flow of liquid crystals is studied in a bounded domain. In particular, t…
Global weak solution and large-time behavior for the compressible flow of liquid crystals
Dehua Wang, Cheng Yu
The three-dimensional equations for the compressible flow of liquid crystals are considered. An initial-boundary value problem is studied in a bounded domain with large data. The e…