Details
| Original language | English |
|---|---|
| Pages (from-to) | 251-263 |
| Number of pages | 13 |
| Journal | Journal of differential equations |
| Volume | 422 |
| Early online date | 19 Dec 2024 |
| Publication status | Published - 25 Mar 2025 |
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
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Journal of differential equations, Vol. 422, 25.03.2025, p. 251-263.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stationary states of a chemotaxis consumption system with singular sensitivity and inhomogeneous boundary conditions
AU - Ahn, Jaewook
AU - Lankeit, Johannes
N1 - Publisher Copyright: © 2024 The Authors
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
UR - http://www.scopus.com/inward/record.url?scp=85212534995&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2406.18750
DO - 10.48550/arXiv.2406.18750
M3 - Article
AN - SCOPUS:85212534995
VL - 422
SP - 251
EP - 263
JO - Journal of differential equations
JF - Journal of differential equations
SN - 0022-0396
ER -