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math.AP2026
Strict Lyapunov function for the one-dimensional linear wave equation with a locally distributed damping
Jean-Michel Coron
The paper presents an explicit strict Lyapunov function to prove stability for the one‑dimensional linear wave equation with locally distributed damping and Dirichlet boundary cond…
math.AP2026
Global boundary stabilization of 1d systems of scalar conservation laws
Georges Bastin, Jean-Michel Coron, Amaury Hayat
We study a system of several one-dimensional scalar conservation laws coupled through boundary feedback conditions that combine physical boundary constraints with static feedback c…
math.AP2025
Wave maps from circle to Riemannian manifold: global controllability is equivalent to homotopy
Jean-Michel Coron, Joachim Krieger, Shengquan Xiang
We study wave maps from the circle to a general compact Riemannian manifold. We prove that the global controllability of this geometric equation is characterized precisely by the h…