Optimal Control of a Chemotaxis Problem

Hendrik Feldhordt*, Arnd Rösch and Michael Winkler

Chemotaxis describes a biological phenomenon of self organization and pattern forming of cell populations caused by chemical substances. It can be modelled by a two component reaction diffusion system in which the equations are coupled by a quasilinear cross-diffusion term. In this talk, an optimal control problem with Neumann boundary control for the chemoattractant is considered and optimality conditions of first and second order are presented.

Mathematics Subject Classification: 49K20 49J20

Keywords: Optimal Control, Chemotaxis, Optimality Conditions

Minisymposion: Stability, Sensitivity and Error Analysis for Optimal Control Problems