1 citations · 1 across the 4 of their papers we have counts for
6 papers
Relative Entropy and the Inviscid Limit for Planar Shocks of the Multi-D Burgers' Equation
Geng Chen, Jeffrey Cheng, Alexis F. Vasseur +1
In recent work (arXiv:2610.10341), the authors introduced a framework for studying the vanishing viscosity limit for sequences of weak solutions of the multi-dimensional compressib…
Uniqueness and stability of planar shock wave to 2D compressible Euler equations in the vanishing viscosity limit of compressible Navier-Stokes equations
Geng Chen, Jeffrey Cheng, Alexis F. Vasseur +1
It is well known that the compressible Euler equations with planar shock initial data may admit infinitely many entropy weak solutions, as shown by Chiodaroli, De Lellis and Kreml…
Relative Entropy Contractions for Extremal Shocks of Nonlinear Hyperbolic Systems without Genuine Nonlinearity
Jeffrey Cheng
We study extremal shocks of -d hyperbolic systems of conservation laws which fail to be genuinely nonlinear. More specifically, we consider either - or -shocks in characte…
Uniqueness & Weak-BV Stability in the Large for Isothermal Gas Dynamics
Jeffrey Cheng
For the -d isothermal Euler system, we consider the family of entropic BV solutions with possibly large, but finite, total variation. We show that these solutions are stable wit…
Viscous Destabilization for Large Shocks of Conservation Laws
Paul Blochas, Jeffrey Cheng
The recent theory of contraction with shifts provides -stability for shock waves of D hyperbolic systems of conservation laws. The theory has been established at the i…
-stability Minimal Entropy Conditions for Scalar Conservation Laws with Concave-Convex Fluxes
Jeffrey Cheng
In this paper, we study stability properties of solutions to scalar conservation laws with a class of non-convex fluxes. Using the theory of -contraction with shifts, we show $L…