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About me

I am a Research Scientist (postdoc) at Institute of Mathematics, EPFL, in the group of Prof. Joachim Krieger.

Former student at École Normale Supérieure de Paris and Peking University, I obtained my Ph.D. on controllability and stabilization of fluids at Sorbonne Université under the supervision of Prof. Jean-Michel Coron, while in the year 2017 I was invited researcher at ETH Zürich.  

You can contact me by shengquan.xiang[AT]epfl.ch

Research

10. Stabilization of the linearized water tank system (with J.-M. Coron, A. Hayat and C. Zhang)
    arXiv preprint 2021, submitted

9. Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations
    arXiv preprint 2020, submitted

8. Quantitative rapid and finite time stabilization of the heat equation
    arXiv preprint 2020, submitted

7. Boundary stabilization of focusing NLKG near unstable equilibria: radial case (with J. Krieger)
    arXiv preprint 2020, submitted

6. Cost for a controlled linear KdV equation (with J. Krieger)
    ESAIM: Control, Optimisation and Calculus of Variations   to appear

5. Stabilisation rapide d'équations de Burgers et de Korteweg-de Vries
    PhD. thesis 2019

4. Small-time global stabilization of the viscous Burgers equation with three scalar controls (with J.-M. Coron)
    Journal de Mathématiques Pures et Appliquées   to appear

3. Null controllability of a linearized Korteweg-de Vries equation by backstepping approach
    SIAM J. Control Optim. 57 (2019), 1493–1515

2. Small-time local stabilization for a Korteweg-de Vries equation
    Systems & Control Letters 111 (2018), 64–69

1. Local exponential stabilization for a class of Korteweg-de Vries equations by means of time-varying feedback laws (with J.-M. Coron and I. Rivas)
    Analysis & PDE 10 (2017), no. 5, 1089–1122

Teaching

Fall 2020: I am a teaching assistant for Ordinary Differential Equations (online)