ACDC Seminar by Stefanie Sonner on the 28th of October

On the 28th of October at 16.00, Stefanie Sonner will give an Amsterdam Dynamics Seminar. We will go for drinks at Bar Boele after the talk.

The talk will take place in the Maryam seminar room (9A-46).

Title: Degenerate reaction diffusion systems arising in models for biofilm growth

Abstract: We consider degenerate reaction diffusion models describing the growth of spatially heterogeneous biofilms on the mesoscale. Their characteristic feature is the two-fold degenerate diffusion coefficient for the biomass density comprising a polynomial degeneracy (as the porous medium equation) and a fast diffusion singularity as the biomass density approaches its maximum value. This degenerate equation is coupled to semilinear reaction diffusion equations or ordinary differential equations for nutrients and other substrates. We address the well-posedness and regularity of solutions for such systems and present numerical simulations to illustrate the model behaviour.

A recent model extension considers marine biofilms growing on immersed surfaces leading to bulk-surface systems.

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