Jeffrey Cheng

activity

20242026

most cited

L^{2}

-stability

&

Minimal Entropy Conditions for Scalar Conservation Laws with Concave-Convex Fluxes

1 citations · 1 across the 4 of their papers we have counts for

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math.AP2025

Relative Entropy Contractions for Extremal Shocks of Nonlinear Hyperbolic Systems without Genuine Nonlinearity

Jeffrey Cheng

We study extremal shocks of $1$ -d hyperbolic systems of conservation laws which fail to be genuinely nonlinear. More specifically, we consider either $1$ - or $n$ -shocks in characte…

math.AP2025

Uniqueness & Weak-BV Stability in the Large for Isothermal Gas Dynamics

Jeffrey Cheng

For the $1$ -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…

math.AP2025

Viscous Destabilization for Large Shocks of Conservation Laws

Paul Blochas, Jeffrey Cheng

The recent theory of $a -$ contraction with shifts provides $L^{2}$ -stability for shock waves of $1 -$ D hyperbolic systems of conservation laws. The theory has been established at the i…