András Bátkai: Flow in network with delays

Abstract:

We consider an abstract functional analytic problem motivated by the following problem: consider a finite metric graph and a flow process on it with delays where you also have delays in the edges: the Kirchoff-law is modified so that the outflow from the edges takes some processing time. The system of equations will be rewritten as an abstract boundary perturbation problem, the necessary perturbation results are proved and properties of solutions are analyzed. Joint work with Said Hadd, Marjeta Kramar-Fiavž and Abdelasis Rhandi.