Chemical diffusion limit of a chemotaxis–Navier–Stokes system

DOI10.1080/00036811.2023.2181166zbMATH Open1541.35022MaRDI QIDQ6549310

Qianqian Hou

Publication date: 3 June 2024

Published in: Applicable Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system
• Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
• A coupled chemotaxis-fluid model: global existence
• Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations
• Existence of smooth solutions to coupled chemotaxis-fluid equations
• Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components
• Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions
• Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux
• Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model
• A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
• Global (weak) solution of the chemotaxis-Navier-Stokes equations with non-homogeneous boundary conditions and logistic growth
• 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
• Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
• Global existence and convergence rates to a chemotaxis-fluids system with mixed boundary conditions
• Global well-posedness and boundary layer effects of radially symmetric solutions for the singular Keller-Segel model
• 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
• How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
• COUPLED CHEMOTAXIS FLUID MODEL
• Global solutions to the coupled chemotaxis-fluids system in a 3D unbounded domain with boundary
• Global Solutions to the Coupled Chemotaxis-Fluid Equations
• Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen
• Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops

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