Nonlocal cross-diffusion systems on the torus, arising in population dynamics and
neuroscience, are analyzed. The global existence of weak solutions, the weak–strong …

The existence of global nonnegative martingale solutions to cross-diffusion systems of
Shigesada–Kawasaki–Teramoto type with multiplicative noise is proven. The model …

Systems including cross-diffusion, ie the process where the flux of one component or
speciesis induced by the gradient of another component or species, have received …

The existence of global nonnegative martingale solutions to a cross-diffusion system of
Shigesada-Kawasaki-Teramoto type with multiplicative noise is proven. The model …

We prove the existence of global-in-time martingale solutions to a general class of
crossdiffusion systems with multiplicative noise. The equations describe multicomponent …

In this thesis we consider the two-dimensional Keller-Segel model with a superlinear
production term. This means we investigate the following nonlinear system of partial …