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6 papers · 1 filter
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…
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…
The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
Marta Lewicka, Maria Giovanna Mora, Mohammad Reza Pakzad
Using the notion of Gamma-convergence, we discuss the limiting behavior of the 3d nonlinear elastic energy for thin elliptic shells, as their thickness h converges to zero, under t…
Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
Xianpeng Hu, Dehua Wang
The equations of the three-dimensional viscous, compressible, and heat conducting magnetohydrodynamic flows are considered in a bounded domain. The viscosity coefficients and heat…
Vanishing Viscosity Method for Transonic Flow
Gui-Qiang Chen, Marshall Slemrod, Dehua Wang
A vanishing viscosity method is formulated for two-dimensional transonic steady irrotational compressible fluid flows with adiabatic constant . This formulation allows…