2 papers
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…
math.AP2023
Global controllability and stabilization of the wave maps equation from a circle to a sphere
Jean-Michel Coron, Joachim Krieger, Shengquan Xiang
Continuing the investigations started in the recent work [Krieger-Xiang, 2022] on semi-global controllability and stabilization of the -dimensional wave maps equation with s…