Existence, uniqueness and decay estimates on mild solutions to fractional chemotaxis-fluid systems

DOI10.12775/TMNA.2020.029zbMath1475.35388OpenAlexW3127411239MaRDI QIDQ2236464

Zhi Ling, Kerui Jiang, Ling Zhou, Zu Han Liu

Publication date: 25 October 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2020.029

zbMATH Keywords

small initial datafractional Navier-Stokes systemglobal mild solutionfractional chemotaxis system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59)

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system
• Global solutions for a supercritical drift-diffusion equation
• Sublinear signal production in a two-dimensional Keller-Segel-Stokes system
• Global boundedness of solutions for the chemotaxis-Navier-Stokes system in \(\mathbb{R}^2\)
• Global classical solutions in chemotaxis(-Navier)-Stokes system with rotational flux term
• A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
• Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
• Blowup of solutions to generalized Keller-Segel model
• Global classical solutions of a 3D chemotaxis-Stokes system with rotation
• Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
• Global solutions for a hyperbolic-parabolic system of chemotaxis
• Global existence of weak solutions for the 3D chemotaxis-Navier-Stokes equations
• Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
• Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos
• Local criteria for blowup in two-dimensional chemotaxis models
• Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
• Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
• On a drift-diffusion system for semiconductor devices
• Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
• Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
• Exploding solutions for a nonlocal quadratic evolution problem
• Decay estimate of solutions to the coupled chemotaxis-fluid equations in \(\mathbb{R}^3\)
• Asymptotic decay for the classical solution of the chemotaxis system with fractional Laplacian in high dimensions
• Suppression of blow up by a logistic source in 2D Keller-Segel system with fractional dissipation
• Existence of smooth solutions to coupled chemotaxis-fluid equations
• Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations
• An approximate treatment of gravitational collapse.
• Decay estimates of the coupled chemotaxis-fluid equations in \(R^3\)
• Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains
• Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
• Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion
• Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
• Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
• On a generalized doubly parabolic Keller–Segel system in one spatial dimension
• ASYMPTOTIC BEHAVIORS OF SOLUTIONS FOR AN AEROTAXIS MODEL COUPLED TO FLUID EQUATIONS
• 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
• Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
• Critical Keller–Segel meets Burgers on ${{\mathbb{S}}^{1}}$ : large-time smooth solutions
• How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
• On Some Pointwise Inequalities Involving Nonlocal Operators
• On the well-posedness for Keller-Segel system with fractional diffusion
• The fractional Keller–Segel model
• COUPLED CHEMOTAXIS FLUID MODEL
• Global existence and asymptotic behavior of classical solutions for a 3D two‐species chemotaxis‐Stokes system with competitive kinetics
• A regularity condition and temporal asymptotics for chemotaxis-fluid equations
• Global Solutions to the Coupled Chemotaxis-Fluid Equations
• Decay estimates for the classical solution of Keller–Segel system with fractional Laplacian in higher dimensions
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
• Two‐dimensional chemotaxis models with fractional diffusion

This page was built for publication: Existence, uniqueness and decay estimates on mild solutions to fractional chemotaxis-fluid systems