A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
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Publication:1712590
DOI10.1016/j.jfa.2018.12.009zbMath1408.35132OpenAlexW2905920381MaRDI QIDQ1712590
Publication date: 22 January 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2018.12.009
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Chemotaxis can prevent thresholds on population density
- Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system
- Boundedness and decay property in a three-dimensional Keller-Segel-Stokes system involving tensor-valued sensitivity with saturation
- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- Global existence and boundedness in a Keller-Segel-(Navier-)Stokes system with signal-dependent sensitivity
- Suppression of chemotactic explosion by mixing
- A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
- Reaction terms avoiding aggregation in slow fluids
- How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
- Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation
- 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
- Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
- Spatio-temporal chaos in a chemotaxis model
- Exponential attractor for a chemotaxis-growth system of equations
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
- Weak solutions for a bioconvection model related to Bacillus subtilis
- Initiation of slime mold aggregation viewed as an instability
- 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
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Renormalized solutions of nonlinear parabolic equations with general measure data
- 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
- Résolution de problèmes elliptiques quasilineaires
- The Stokes operator in \(L_ R\) spaces
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- The Navier-Stokes equations -- a neverending challenge?
- On Leray's self-similar solutions of the Navier-Stokes equations
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Spatial pattern formation in a chemotaxis-diffusion-growth model
- Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
- Existence of smooth solutions to coupled chemotaxis-fluid equations
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains
- Measure valued solutions of the 2D Keller-Segel system
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion
- Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems
- On the Navier-Stokes initial value problem. I
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluid
- Bacterial swimming and oxygen transport near contact lines
- Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case
- Global-in-time bounded weak solutions to a degenerate quasilinear Keller–Segel system with rotation
- Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
- COUPLED CHEMOTAXIS FLUID MODEL
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Partial Differential Equations
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Biomixing by Chemotaxis and Enhancement of Biological Reactions
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity