Abstract：
In this talk, we concern about the stabilization for Saint-Venant equations with arbitrary friction and space-varying slope under boundary feedback controls. The main tool we used is the Lyapunov approach which is a powerful method for the stabilization of PDEs with controls. I will start from the introduction of some literatures on the stabilization issue of general hyperbolic systems with dissipative boundary conditions. Then we will focus on the stabilization of Saint-Venant equations.
Biography:
Peipei Shang received her Ph.D. degree in 2012 from Sorbonne University in France. After that, she becomes Assistant Professor in Tongji University in China. She was honored with "Pujiang Talents Plan" in 2013. She is currently Associate Professor at Tongji University since 2015. Her main research interests are in control, optimization and stabilization of the hyperbolic equations. She has obtained some results published in Automatica, IEEE Trans. Automat. Control, Math. Models Methods Appl. Sci. , SIAM J. Control Optim. , J. Differential Equations and so on. She is now in charge of National Natural Science Foundation of China (General Program) with project "Some control problems in Saint-Venant equations and Korteweg-de Vries equations" .
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai