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math.AP2022
Global martingale solutions to a segregation cross-diffusion system with stochastic forcing
Mrinmay Biswas, Ansgar Jüngel
The existence of a global martingale solution to a cross-diffusion system with multiplicative Wiener noise in a bounded domain with no-flux boundary conditions is shown. The model…
math.AP2022
The Shigesada-Kawasaki-Teramoto cross-diffusion system beyond detailed balance
Xiuqing Chen, Ansgar Jüngel, Lei Wang
The existence of global weak solutions to the cross-diffusion model of Shigesada, Kawasaki, and Teramoto for an arbitrary number of species is proved. The model consists of strongl…
math.AP2022
Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems
Xiaokai Huo, Ansgar Jüngel, Athanasios E. Tzavaras
A Maxwell-Stefan system for fluid mixtures with driving forces depending on Cahn-Hilliard-type chemical potentials is analyzed. The corresponding parabolic cross-diffusion equation…