3 papers
math.AP2025
Stability and uniqueness of bounded weak solutions to triangular degenerate cross-diffusion systems
Xiuqing Chen, Bang Du, Ansgar Jüngel
The continuous dependence on the initial data and consequently the uniqueness of bounded weak solutions to a class of triangular reaction-cross-diffusion equations is shown. The cl…
math.AP2025
Uniqueness of Weak Solutions to One-Dimensional Doubly Degenerate Cross-Diffusion System
Xiuqing Chen, Bang Du
The uniqueness of global weak solutions to one-dimensional doubly degenerate cross-diffusion system is shown. The equations model the evolution of feeding bacterial populations in…
math.AP2024
Fluid relaxation approximation of the Busenberg--Travis cross-diffusion system
J. A. Carrillo, X. Chen, B. Du +1
The Busenberg--Travis cross-diffusion system for segregating populations is approximated by the compressible Navier--Stokes--Korteweg equations on the torus, including a density-de…