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Uniqueness of Weak Solutions to One-Dimensional Doubly Degenerate Cross-Diffusion System (2501.06821v1)
Published 12 Jan 2025 in math.AP
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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