Work

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

Year: 2024

Type: article

Abstract: For given total mass m > 0 we show unique solvability of the stationary chemotaxis-consumption model { 0 = Δ u − χ ∇ ⋅ ( u v ∇ v ) 0 = Δ v − u v ∫ Ω u = m under no-flux-Dirichlet boundary conditions in bounded smooth domains Ω ⊂ R 2 and Ω = B R ( 0 ) ⊂ R d , d ≥ 3 .

Source: Journal of Differential Equations

DOI: 10.1016/j.jde.2024.12.020

Authors: Jaewook Ahn, Johannes Lankeit

Institutions: Dongguk University, Leibniz University Hannover

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,050

Funder: National Research Foundation of Korea