Free Boundary Problems 2026

Optimal control of a tumor growth model with hyperbolic relaxation of the chemical potential

8 Sept 2026, 16:30

30m

DOR24/Floor 1-Room 101 - Lecture Hall (HU (Hegelplatz))

Phase Field Methods in Real-World Applications Phase Field Methods in Real-World Applications

Speaker

Jürgen Sprekels (Weierstrass Institute, Anton-Wilhelm-Amo-Strasse 39, 10117 Berlin, Germany)

Description

In this talk, we study the optimal control of a phase field system of viscous Cahn-Hilliard type modeling tumor growth, in which a hyperbolic relaxation of the chemical potential is added to the equation governing the phase evolution. In addition to well-posedness results for the state system, we analyze the differentiability properties of the associated control-to-state operator and derive first-order necessary optimality conditions for the control problem. If time permits, we also provide some asymptotic results as the hyperbolic relaxation term tends to zero. This is a joint work with P. Colli and E. Rocca from Pavia.