Global strong solutions to a coupled chemotaxis-fluid model with subcritical sensitivity
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Publication:2023072
DOI10.1007/S10440-020-00321-1zbMath1459.35361OpenAlexW3008515751MaRDI QIDQ2023072
Publication date: 3 May 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-020-00321-1
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Strong solutions to PDEs (35D35)
Related Items (3)
Blow-up criteria for a Keller-Segel-Navier-Stokes system in a bounded domain ⋮ Uniqueness of weak solutions to a Keller-Segel-Navier-Stokes system ⋮ Uniqueness of weak solutions to a Keller-Segel-Navier-Stokes model with a logistic source.
Cites Work
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- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Global solutions of some chemotaxis and angiogenesis system in high space dimension
- Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
- Improved extensibility criteria and global well-posedness of a coupled chemotaxis-fluid model on bounded domains
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity
- Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear 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
- Maximal Regularity for Nonautonomous Evolution Equations
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- The Existence and Stability of Spike Patterns in a Chemotaxis Model
- Biomixing by Chemotaxis and Enhancement of Biological Reactions
- Long-time behaviour of solutions to a chemotaxis model with volume-filling effect
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