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

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초록

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. © 2024 The Authors

키워드

ChemotaxisClassical solvabilityInhomogeneous Dirichlet boundary conditionsStationary stateUniquenessNAVIER-STOKES SYSTEMPRESCRIBED SIGNAL CONCENTRATIONSSEMILINEAR PROBLEMGLOBAL-SOLUTIONSMODELDIFFUSION
제목
Stationary states of a chemotaxis consumption system with singular sensitivity and inhomogeneous boundary conditions
저자
Ahn, JaewookLankeit, Johannes
DOI
10.1016/j.jde.2024.12.020
발행일
2025-03
유형
Article
저널명
Journal of Differential Equations
422
페이지
251 ~ 263