56 citations · 70 across the 9 of their papers we have counts for
9 papers
Large-time asymptotics for degenerate cross-diffusion population models with volume filling
Xiuqing Chen, Ansgar Jüngel, Xi Lin +1
The large-time asymptotics of the solutions to a class of degenerate parabolic cross-diffusion systems is analyzed. The equations model the interaction of an arbitrary number of po…
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…
When do cross-diffusion systems have an entropy structure?
Xiuqing Chen, Ansgar Jüngel
Necessary and sufficient conditions for the existence of an entropy structure for certain classes of cross-diffusion systems with diffusion matrix are derived, based on resu…
Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems
Xiuqing Chen, Ansgar Jüngel
The weak-strong uniqueness for solutions to reaction-cross-diffusion systems in a bounded domain with no-flux boundary conditions is proved. The system generalizes the Shigesada-Ka…
Global renormalized solutions to reaction-cross-diffusion systems
Xiuqing Chen, Ansgar Jüngel
The global-in-time existence of renormalized solutions to reaction-cross-diffu-sion systems for an arbitrary number of variables in bounded domains with no-flux boundary conditions…
A note on the uniqueness of weak solutions to a class of cross-diffusion systems
Xiuqing Chen, Ansgar Jüngel
The uniqueness of bounded weak solutions to strongly coupled parabolic equations in a bounded domain with no-flux boundary conditions is shown. The equations include cross-diffusio…