Wednesday, 15:15 - 15:40 h, Room: MA 415


Arnd Roesch
Optimal control of a chemotaxis problem

Coauthor: Hendrik Feldhordt


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.
We present results on uniform boundedness of the states, existence of
optimal controls and first order necessary optimality conditons.


Talk 1 of the invited session Wed.3.MA 415
"Optimization applications in industry V" [...]
Cluster 19
"PDE-constrained optimization & multi-level/multi-grid methods" [...]


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