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Global Solution to the Three-Dimensional Incompressible Flow of Liquid Crystals
Xianpeng Hu, Dehua Wang
The equations for the three-dimensional incompressible flow of liquid crystals are considered in a smooth bounded domain. The existence and uniqueness of the global strong solution…
Global Strong Solution to the Density-Dependent Incompressible Viscoelastic Fluids
Xianpeng Hu, Dehua Wang
The existence and uniqueness of the global strong solution with small initial data to the three-dimensional viscoelastic fluids is established.
Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
Xianpeng Hu, Dehua Wang
The relationship between the compressible magnetohydrodynamic flows with low Mach number and the incompressible magnetohydrodynamic flows is investigated. More precisely, the conve…
Compactness of weak solutions to the three-dimensional compressible magnetohydrodynamic equations
Xianpeng Hu, Dehua Wang
The compactness of weak solutions to the magnetohydrodynamic equations for the viscous, compressible, heat conducting fluids is considered in both the three-dimensional space $\R^3…
Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows
Xianpeng Hu, Dehua Wang
The three-dimensional equations of compressible magnetohydrodynamic isentropic flows are considered. An initial-boundary value problem is studied in a bounded domain with large dat…
Weak Continuity of the Gauss-Codazzi-Ricci System for Isometric Embedding
Gui-Qiang Chen, Marshall Slemrod, Dehua Wang
We establish the weak continuity of the Gauss-Coddazi-Ricci system for isometric embedding with respect to the uniform -bounded solution sequence for , which implies that…