Instability phenomena in models from mathematical biology

par Grzegorz Karch (University of Wroclaw)

mardi 13 nov. 2018, 15:00 → 16:00 Europe/Paris

Salle 112 (ICJ.UCBL)

Mathematical models of  pattern formation arising in processes
described by a system of a single reaction-diffusion equation coupled
with ordinary differential equations will be discussed. In such
models, a certain natural (autocatalysis) property of the system leads
to the instability of all inhomogeneous stationary solutions. In this
talk, I will also explain   that space inhomogeneous solutions of
these models become unbounded in either finite or infinite time, even
if space homogeneous solutions are bounded uniformly in time.
These are  results obtained jointly with Anna Marciniak-Czochra from
Heidelberg University Kanako Suzuki from Ibaraki University.