| Abstract: |
| Compared with the study of boundary controllability of classical solutions to quasilinear hyperbolic systems of balance laws, only few corresponding results have been obtained in the framework of entropy solutions. In this talk, I will give a survey on recent development in this field and introduce our works on the exact boundary controllability of entropy solutions to a class of hyperbolic systems of balance laws. These works are based on the well-posdedness of semi-global solutions as the limits of $ (\\epsilon,h) $-approximate front tracking solutions (resp. $ (h,\\epsilon) $-approximate front tracking solutions) to the forward (resp. rightward) mixed initial-boundary value problem with nonlinear boundary conditions. Some applications and possible improvement of these works will also be discussed. |
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