Chairs: Ana Djurdjevac, Martin Heida, Ralf Kornhuber

While partial differential equations with random highly oscillating coefficients, as typically occurring in material science and hydrology,  already have quite a history in applied and numerical analysis,  the mathematical understanding of deterministic or stochastic  differential equations on random surfaces and randomly evolving surfaces, e.g.,  describing surfactants on biological membranes, is still in its infancy.

Elliptic problems on domains with fractal, possibly random, interfaces arise in mechanical fracturing or friction processes from the geo sciences or  in the mathematical description of foam-like elastic media like the human lung, and also have been systematically considered only recently. This minisymposium is intended to stimulate synergies between the current analytic and numerical approaches and to pave the way to future new developments.

Find abstracts for all talks here or linked individually below.