Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model
From MaRDI portal
Publication:2214686
DOI10.1016/j.jde.2020.08.021zbMath1455.35267arXiv2004.09262OpenAlexW3017075827MaRDI QIDQ2214686
Johannes Lankeit, Masaaki Mizukami, Mario Fuest
Publication date: 10 December 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.09262
asymptotic behavior of solutionsRobin boundary conditionglobal-in-time existenceaerotaxischemotaxis-consumption model
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
Related Items
Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier-Stokes system with logistic proliferation, Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary, Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions, Boundary layer problem on the chemotaxis model with Robin boundary conditions, Depleting the signal: Analysis of chemotaxis‐consumption models—A survey, Stability of stationary solutions to a multidimensional parabolic–parabolic chemotaxis-consumption model, Global solvability and large time behavior in a two-species chemotaxis-consumption model, On the steady state problem of the chemotaxis-consumption model with logistic growth and Dirichlet boundary condition for signal, Steady‐state solutions of the aerotaxis problem, A chemotaxis‐Stokes system with nonhomogeneous boundary condition: Global large‐datum solution and asymptotic behavior, Asymptotic stability of spiky steady states for a singular chemotaxis model with signal-suppressed motility, Prescribed signal concentration on the boundary: weak solvability in a chemotaxis-Stokes system with proliferation, Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system
- Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Initiation of slime mold aggregation viewed as an instability
- Existence and decay of global smooth solutions to the coupled chemotaxis-fluid model
- Hölder continuity of the gradient of solutions of uniformly parabolic equations with conormal boundary conditions
- Elliptic partial differential equations of second order
- Decay estimate of solutions to the coupled chemotaxis-fluid equations in \(\mathbb{R}^3\)
- Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- Global dynamics of a coupled chemotaxis-fluid model on bounded domains
- Global solutions to a 3D chemotaxis-Stokes system with nonlinear cell diffusion and Robin signal boundary condition
- Analysis of a chemotaxis model with indirect signal absorption
- Global (weak) solution of the chemotaxis-Navier-Stokes equations with non-homogeneous boundary conditions and logistic growth
- Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
- How strongly does diffusion or logistic-type degradation affect existence of global weak solutions in a chemotaxis-Navier-Stokes system?
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Singularity patterns in a chemotaxis model
- Global existence and convergence rates to a chemotaxis-fluids system with mixed boundary conditions
- Asymptotic behavior of global solutions of aerotaxis equations
- Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion
- Long-term behaviour in a chemotaxis-fluid system with logistic source
- Bacterial swimming and oxygen transport near contact lines
- Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Global existence and asymptotic behavior to a chemotaxis system with consumption of chemoattractant in higher dimensions
- Global solutions of aerotaxis equations
- Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?
- Stationary solutions of aerotaxis equations
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Oblique Derivative Problems for Elliptic Equations
- Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen
- Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms
- Global existence and asymptotic behavior of solutions to a chemotaxis–fluid system on general bounded domains
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
