107 citations · 1.1k across the 120 of their papers we have counts for
Showing 2025 · math.APShow all
2 papers · 2 filters
math.AP2025
Linear damping estimates for periodic roll wave solutions of the inviscid Saint-Venant equations and related systems of hyperbolic balance laws
L. Miguel Rodrigues, Kevin Zumbrun
Substantially extending previous results of the authors for smooth solutions in the viscous case, we develop linear damping estimates for periodic roll-wave solutions of the invisc…
math.AP2025
Orbital stability of undercompressive viscous shock waves under perturbation
Zhao Yang, Kevin Zumbrun
By the use of a new vertical estimate introduced by the authors in the context of relaxation shocks for shallow water flow, we both simplify and extend the basic stab…