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math.AP2022
Partial Hölder Regularity for Solutions of a Class of Cross-Diffusion Systems with Entropy Structure
Marcel Braukhoff, Claudia Raithel, Nicola Zamponi
In this article we show a -partial regularity result for solutions of a certain class of cross-diffusion systems with entropy structure. Under slightly more stringent cond…
math.PR2022
Global martingale solutions for stochastic Shigesada-Kawasaki-Teramoto population models
Marcel Braukhoff, Florian Huber, Ansgar Jüngel
The existence of global nonnegative martingale solutions to cross-diffusion systems of Shigesada-Kawasaki-Teramoto type with multiplicative noise is proven. The model describes the…