15 citations · 15 across the 5 of their papers we have counts for
5 papers
Uniqueness of Transonic Shock Solutions in a Duct for Steady Potential Flow
Gui-Qiang Chen, Hairong Yuan
We study the uniqueness of solutions with a transonic shock in a duct in a class of transonic shock solutions, which are not necessarily small perturbations of the background solut…
Large-Time Behavior of Periodic Entropy Solutions to Anisotropic Degenerate Parabolic-Hyperbolic Equations
Gui-Qiang Chen, Benoit Perthame
We are interested in the large-time behavior of periodic entropy solutions in to anisotropic degenerate parabolic-hyperbolic equations of second-order. Unlike the pure h…
Hyperbolic Conservation Laws and Hydrodynamic Limit for Particle Systems
Gui-Qiang Chen, Nadine Even, Christian Klingenberg
We study the following class of scalar hyperbolic conservation laws with discontinuous fluxes: \partial_tρ+\partial_xF(x,ρ)=0. The main feature of such a conservation law is the di…
Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws
G. Q. Chen, M. Torres, W. Ziemer
We analyze a class of weakly differentiable vector fields (\FF \colon \rn \to \rn) with the property that (\FF\in L^{\infty}) and (÷\FF) is a Radon measure. The primary focus of ou…
Global Solutions of Shock Reflection by Large-Angle Wedges for Potential Flow
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 i…