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arXiv · 2501.06821

Uniqueness of Weak Solutions to One-Dimensional Doubly Degenerate Cross-Diffusion System

Xiuqing Chen·Bang Du
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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.

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Xiuqing Chen, Bang Du. 2025-01-12. Uniqueness of Weak Solutions to One-Dimensional Doubly Degenerate Cross-Diffusion System. https://arxiv.org/abs/2501.06821

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