Global existence and asymptotic behavior to a chemotaxis system with consumption of chemoattractant in higher dimensions

DOI10.1063/1.4974245zbMath1355.76090OpenAlexW2580440791MaRDI QIDQ2963268

Hai-Yang Jin, Lili Fan

Publication date: 13 February 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4974245

Mathematics Subject Classification ID

Physiological flows (76Z05) Cell movement (chemotaxis, etc.) (92C17) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (18)

Global solutions in a quasilinear parabolic-parabolic chemotaxis system with decaying diffusivity and consumption of a chemoattractant ⋮ Boundedness in a chemotaxis model with exponentially decaying diffusivity and consumption of chemoattractant ⋮ Asymptotic convergence of solutions of Keller-Segel equations in network shaped domains ⋮ Boundedness and large-time behavior for a two-dimensional quasilinear chemotaxis-growth system with indirect signal consumption ⋮ Boundedness in a two-species chemotaxis system with nonlinear resource consumption ⋮ Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant ⋮ A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Stability of stationary solutions to a multidimensional parabolic–parabolic chemotaxis-consumption model ⋮ Analysis of long‐time solution of chemotactic model with indirect signal consumption in three‐dimensional case ⋮ Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model ⋮ Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis ⋮ Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions ⋮ Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen ⋮ Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments ⋮ Analysis of a chemotaxis model with indirect signal absorption ⋮ Boundedness in a two-species chemotaxis-consumption system with nonlinear diffusion and sensitivity ⋮ Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary

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