Séminaire d'analyse
Control of advection-diffusion equations on networks and singular limitsDe Nitti Nicola (Friedrich-Alexander-Universität Erlangen-Nürnberg)
Thursday 24 February 2022 14:00 - Tours - E2290
Résumé :
We consider a linear advection-diffusion equation posed on a tree with suitable transmission conditions at the junctions. We prove that the system is null-controllable using a control which is localized on the exterior nodes. Moreover, we study the asymptotic behavior of the cost of the null-controllability as the diffusivity parameter vanishes: we show that it decays for a sufficiently large time and explodes for short times. We also give some extensions of these results to nonlinear conservation laws.
This talk is based on joint works in collaboration with J. A. Bárcena-Petisco, M. Cavalcante, G. M. Coclite, and E. Zuazua.
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