Optimal Boundary Control for the semilinear Transport Equation under Uncertainty: A Turnpike Result

Next August, 2023 our postdoctoral researcher Michael Schuster, will talk on “Optimal Boundary Control for the semilinear Transport Equation under Uncertainty: A Turnpike Result” at ICIAM 2023 TOKYO, the 10th International Congress on Industrial and Applied Mathematics on August 20-25th, 2023.

Abstract. We show an integral turnpike result for an optimal Dirichlet boundary control problem with a semilinear transport equation in the sense that if the time horizon goes to infinity, then the dynamic optimal control converges to the corresponding steady state optimal control. Further we show that the integral turnpike result also holds if the initial data and/or the source term is uncertain with respect to a random variable

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