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

Jaewook Ahn; Johannes Lankeit

doi:10.1016/j.jde.2024.12.020

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

Jaewook Ahn, Johannes Lankeit

Department of Mathematics

Leibniz University Hannover

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

For given total mass m>0 we show unique solvability of the stationary chemotaxis-consumption model [Formula presented] under no-flux-Dirichlet boundary conditions in bounded smooth domains Ω⊂R² and Ω=B_R(0)⊂R^d, d≥3.

Original language	English
Pages (from-to)	251-263
Number of pages	13
Journal	Journal of Differential Equations
Volume	422
DOIs	https://doi.org/10.1016/j.jde.2024.12.020
State	Published - 25 Mar 2025

Keywords

Chemotaxis
Classical solvability
Inhomogeneous Dirichlet boundary conditions
Stationary state
Uniqueness

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10.1016/j.jde.2024.12.020

Cite this

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title = "Stationary states of a chemotaxis consumption system with singular sensitivity and inhomogeneous boundary conditions",

abstract = "For given total mass m>0 we show unique solvability of the stationary chemotaxis-consumption model [Formula presented] under no-flux-Dirichlet boundary conditions in bounded smooth domains Ω⊂R2 and Ω=BR(0)⊂Rd, d≥3.",

keywords = "Chemotaxis, Classical solvability, Inhomogeneous Dirichlet boundary conditions, Stationary state, Uniqueness",

author = "Jaewook Ahn and Johannes Lankeit",

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year = "2025",

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doi = "10.1016/j.jde.2024.12.020",

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AU - Ahn, Jaewook

AU - Lankeit, Johannes

PY - 2025/3/25

Y1 - 2025/3/25

N2 - For given total mass m>0 we show unique solvability of the stationary chemotaxis-consumption model [Formula presented] under no-flux-Dirichlet boundary conditions in bounded smooth domains Ω⊂R2 and Ω=BR(0)⊂Rd, d≥3.

AB - For given total mass m>0 we show unique solvability of the stationary chemotaxis-consumption model [Formula presented] under no-flux-Dirichlet boundary conditions in bounded smooth domains Ω⊂R2 and Ω=BR(0)⊂Rd, d≥3.

KW - Chemotaxis

KW - Classical solvability

KW - Inhomogeneous Dirichlet boundary conditions

KW - Stationary state

KW - Uniqueness

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DO - 10.1016/j.jde.2024.12.020

M3 - Article

AN - SCOPUS:85212534995

SN - 0022-0396

VL - 422

SP - 251

EP - 263

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

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

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Keywords

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