Boundedness and asymptotic behavior in a Keller-Segel(-Navier)-Stokes system with indirect signal production
From MaRDI portal
Publication:2074447
DOI10.1016/j.jde.2022.01.015zbMath1483.35052OpenAlexW4206038545MaRDI QIDQ2074447
Publication date: 10 February 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.015
Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09)
Related Items (11)
Global weak solutions in a three-dimensional two-species cancer invasion haptotaxis model without cell proliferation ⋮ Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production ⋮ On a three-dimensional quasilinear Keller-Segel-Stokes system with indirect signal production ⋮ Asymptotic stabilization in a three-dimensional Keller-Segel-Stokes system with indirect signal production and subquadratic degradation ⋮ Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source ⋮ Boundedness in a two-dimensional two-species cancer invasion haptotaxis model without cell proliferation ⋮ How far do indirect signal production mechanisms influence regularity in the three-dimensional Keller–Segel–Navier–Stokes system? ⋮ Global solvability in a two-dimensional singular chemotaxis-fluid system with indirect signal production or consumption ⋮ Persistence of traveling waves to the time fractional Keller‐Segel system with a small parameter ⋮ How far do indirect signal production mechanisms regularize the three-dimensional Keller-Segel-Stokes system? ⋮ Global solvability and asymptotic stabilization in a three-dimensional Keller–Segel–Navier–Stokes system with indirect signal production
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sublinear signal production in a two-dimensional Keller-Segel-Stokes system
- Global dynamics in a fully parabolic chemotaxis system with logistic source
- Global existence and boundedness in a 2D Keller-Segel-Stokes system with nonlinear diffusion and rotational flux
- Reaction terms avoiding aggregation in slow fluids
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation
- Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
- Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system involving a tensor-valued sensitivity with saturation
- Application of an Adams type inequality to a two-chemical substances chemotaxis system
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Exponential attractor for a chemotaxis-growth system of equations
- Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
- Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions
- Initiation of slime mold aggregation viewed as an instability
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension
- A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
- Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity?
- Asymptotic stability in a quasilinear chemotaxis-haptotaxis model with general logistic source and nonlinear signal production
- Boundedness in a chemotaxis-fluid system involving a saturated sensitivity and indirect signal production mechanism
- Blow-up prevention by saturated chemotactic sensitivity in a 2D Keller-Segel-Stokes system
- Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation
- Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system
- Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation
- Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Global stability of Keller-Segel systems in critical Lebesgue spaces
- Large time behavior in a chemotaxis model with logistic growth and indirect signal production
- Asymptotic stability in a fully parabolic quasilinear chemotaxis model with general logistic source and signal production
- Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux
- Fluid interaction does not affect the critical exponent in a three-dimensional Keller-Segel-Stokes model
- A quasilinear fully parabolic chemotaxis system with indirect signal production and logistic source
- Global existence of weak solution in a chemotaxis-fluid system with nonlinear diffusion and rotational flux
- On a Keller-Segel-Stokes system with logistic type growth: blow-up prevention enforced by sublinear signal production
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with nonlinear diffusion
- Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
- Global existence and boundedness in a 3D Keller-Segel-Stokes system with nonlinear diffusion and rotational flux
- Global existence and boundedness in a 2D Keller-Segel-Stokes system
- An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion
- An optimal result for global existence in a three-dimensional Keller-Segel-Navier-Stokes system involving tensor-valued sensitivity with saturation
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Boundedness vs. blow-up in a chemotaxis system
- Stabilization in a chemotaxis model for tumor invasion
- Global solvability of chemotaxis-fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions
- Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation
- To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production
- Predator–prey model with diffusion and indirect prey-taxis
- Bacterial swimming and oxygen transport near contact lines
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
- Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity
- Chemotactic Aggregation versus Logistic Damping on Boundedness in the 3D Minimal Keller--Segel Model
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Generalized Solutions to a Chemotaxis-Navier--Stokes System with Arbitrary Superlinear Degradation
- Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations
- 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
This page was built for publication: Boundedness and asymptotic behavior in a Keller-Segel(-Navier)-Stokes system with indirect signal production