June 26, 2024Open Access

Stationary states of a chemotaxis consumption system with singular sensitivity and inhomogeneous boundary conditions

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Abstract

For given total mass m>0 we show unique solvability of the stationary chemotaxis-consumption model \ cases 0= u - (uv v) \\ 0= v - uv \\ _ u = m cases \ under no-flux-Dirichlet boundary conditions in bounded smooth domains R² and =BR (0) Rᵈ, d 3.

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Ahn et al. (Wed,) studied this question.

synapsesocial.com/papers/68e634cdb6db6435875c64b5 https://doi.org/https://doi.org/10.48550/arxiv.2406.18750

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5Refined existence theorems for doubly degenerate chemotaxis-consumption systems with large initial data2024

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