Uniqueness of Weak Solutions to One-Dimensional Doubly Degenerate Cross-Diffusion System
Analysis of PDEs
2025-01-14 v1
Abstract
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 a malnourished environment. The key idea of the proof is applying anti-derivative of the sum of weak solutions to the system.
Cite
@article{arxiv.2501.06821,
title = {Uniqueness of Weak Solutions to One-Dimensional Doubly Degenerate Cross-Diffusion System},
author = {Xiuqing Chen and Bang Du},
journal= {arXiv preprint arXiv:2501.06821},
year = {2025}
}