Presentation Name: Exact boundary controllability of nodal profile for entropy solutions to hyperbolic systems of conservation laws
Presenter: 余磊 助理教授
Date: 2020-11-18
Location: 腾讯会议 ID: 235 249 194
Abstract:

It has been recently studied the exact boundary controllability of the nodal profile for classical solutions to quasilinear hyperbolic systems of conservation laws; while, as far as I know, there were no corresponding results in the framework of entropy solutions. In this talk, I will first briefly summarize our previous results on the exact boundary controllability for entropy solutions to strictly hyperbolic systems of conservation laws. Then, I will introduce our recent work which concerns the corresponding results on the exact boundary controllability of nodal profile. Our proof is based on the well-posdedness of semi-global solutions as the limits of front tracking approximate solutions to the mixed initial-boundary value problem with nonlinear boundary conditions.This is a joint work with Prof. Tatsien Li)

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