Abstract:
In this talk, we are concerned with recent developments of boundary stabilization and controllability of 1-D non-homogeneous hyperbolic systems, which incorporate nontrivial source terms. For the stabilization aspect, we will show how to design boundary feedback controllers to rapidly stabilize several kinds of such hyperbolic PDEs (linear or quasilinear, autonomous or non-autonomous, with local or nonlocal spatial source terms...). For the controllability aspect, we will characterize the minimal control time to the associated linear systems. In particular, this control time can be strictly shorter than the one proposed by D. Russell, J.-M. Coron and T. T. Li etc.
Biography:
Long Hu received his Ph.D. degrees in mathematics both from Fudan University and Université Pierre et Marie Curie (now known as Sorbonne Université) in 2015. He is currently a Professor at Shandong University. His research interests include control and stabilization theory for linear and nonlinear hyperbolic systems.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.