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Applied Mathematics Seminar
University of Sydney> Maths & Stats> Research> Applied Mathematics Seminar> Abstracts


Catalin Trenchea
Department of Mathematics, University of Pittsburgh

Control and parameter identification in reaction-diffusion equations

Wednesday 19th March 14:05-14:55pm, Eastern Avenue Lecture Theatre.

In the first part we present an optimal control problem for a nonlinear reaction-diffusion system modelling predator-prey interactions. We implement a semi-implicit (in time) finite element method with "mass lumping", and show the results of numerical experiments in two space dimensions.

The second part regards a parameter identification problem for reaction-diffusion equations modelling pattern formation (Gierer & Meinhardt activator-inhibitor model). We will discuss how we approximate solutions and show an animation of some preliminary results.