Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary
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Publication:5019953
DOI10.1088/1361-6544/ac3c2bzbMath1481.35023arXiv2103.07232OpenAlexW3138864208MaRDI QIDQ5019953
Michael Winkler, Johannes Lankeit
Publication date: 11 January 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.07232
stationary statesglobal existenceinhomogeneous boundary conditionsenergy-type inequalitysignal consumption
Cell movement (chemotaxis, etc.) (92C17) Semilinear elliptic equations (35J61) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Axially symmetric solutions to PDEs (35B07)
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Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier-Stokes system with logistic proliferation, Global boundedness and large time behavior in a chemotaxis system with indirect signal consumption, Depleting the signal: Analysis of chemotaxis‐consumption models—A survey, Stability of stationary solutions to a multidimensional parabolic–parabolic chemotaxis-consumption model, On the steady state problem of the chemotaxis-consumption model with logistic growth and Dirichlet boundary condition for signal, Blowup phenomenon for a 2D chemotaxis-consumption model with rotation and signal saturation on the boundary, Steady‐state solutions of the aerotaxis problem, A chemotaxis‐Stokes system with nonhomogeneous boundary condition: Global large‐datum solution and asymptotic behavior
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