2 citations · 2 across the 9 of their papers we have counts for
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Controlled harmonic map heat flow and blow-up from the disk to the sphere
Shengquan Xiang
We study the one-corotational harmonic map heat flow from the disk to the sphere with a Dirichlet boundary control. We introduce a control-adapted gluing strategy to prevent blow-u…
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…
Global controllability to harmonic maps of the heat flow from a circle to a sphere
Jean-Michel Coron, Shengquan Xiang
In this paper, we study the global controllability and stabilization problems of the harmonic map heat flow from a circle to a sphere. Combining ideas from control theory, heat flo…
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…
Semi-global controllability of a geometric wave equation
Joachim Krieger, Shengquan Xiang
We prove the semi-global controllability and stabilization of the -dimensional wave maps equation with spatial domain and target . First we show…
On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities
Jean-Michel Coron, Shengquan Xiang, Ping Zhang
In this paper, we study, in the semiclassical sense, the global approximate controllability in small time of the quantum density and quantum momentum of the 1-D semiclassical cubic…