Global well-posedness in a chemotaxis system with oxygen consumption

DOI10.3934/cpaa.2021184zbMath1483.35113OpenAlexW3209841484MaRDI QIDQ2075877

Xujie Yang

Publication date: 16 February 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021184

zbMATH Keywords

global boundednessoxygen consumptioninterpolation inequalityweighted function

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Global solvability and stabilization in a chemotaxis(-Navier)-Stokes system with proliferation

Cites Work

• Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
• Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation
• Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
• Boundedness in a three-dimensional chemotaxis-Stokes system with tensor-valued sensitivity
• 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
• Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
• Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• Résolution de problèmes elliptiques quasilineaires
• The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system
• A further study on a 3D chemotaxis-Stokes system with tensor-valued sensitivity
• The fast signal diffusion limit in Keller-Segel(-fluid) systems
• Global existence and large time behavior for a two-dimensional chemotaxis-Navier-Stokes system
• Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
• Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
• Boundedness vs. blow-up in a chemotaxis system
• The small-convection limit in a two-dimensional Keller-Segel-Navier-Stokes system
• Global existence and convergence rates to a chemotaxis-fluids system with mixed boundary conditions
• Bacterial swimming and oxygen transport near contact lines
• Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
• Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
• Flagellar Hydrodynamics
• Global solutions to the coupled chemotaxis-fluids system in a 3D unbounded domain with boundary
• Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
• Global Solutions to the Coupled Chemotaxis-Fluid Equations
• Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary
• Asymptotic dynamics on a chemotaxis-Navier–Stokes system with nonlinear diffusion and inhomogeneous boundary conditions
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops

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