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math.AP2009★ 7 cited
Vanishing Viscosity Limit of the Navier-Stokes Equations to the Euler Equations for Compressible Fluid Flow
Gui-Qiang Chen, Mikhail Perepelitsa
We establish the vanishing viscosity limit of the Navier-Stokes equations to the isentropic Euler equations for one-dimensional compressible fluid flow. For the Navier-Stokes equat…
math.AP2009
Shock Reflection-Diffraction Phenomena and Multidimensional Conservation Laws
Gui-Qiang Chen, Mikhail Feldman
When a plane shock hits a wedge head on, it experiences a reflection-diffraction process, and then a self-similar reflected shock moves outward as the original shock moves forward…
math.AP2009
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…