Global existence and stabilization in a two-dimensional chemotaxis-Navier-Stokes system with consumption and production of chemosignals
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Publication:2689475
DOI10.1016/j.jde.2023.01.020OpenAlexW4318477792MaRDI QIDQ2689475
Publication date: 10 March 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.01.020
Asymptotic behavior of solutions to PDEs (35B40) 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)
Cites Work
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- Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: Is there a connection?
- Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system
- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- Global existence and boundedness in a 2D Keller-Segel-Stokes system with nonlinear diffusion and rotational flux
- Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
- Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
- Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system involving a tensor-valued sensitivity with saturation
- Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
- Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Analytic inequalities, isoperimetric inequalities and logarithmic Sobolev inequalities
- Geometric theory of semilinear parabolic equations
- Development and applications of a model for cellular response to multiple chemotactic cues
- Elliptic partial differential equations of second order
- Global solvability and boundedness to a coupled chemotaxis-fluid model with arbitrary porous medium diffusion
- Reaction-driven relaxation in three-dimensional Keller-Segel-Navier-Stokes interaction
- A new result for global solvability to a two-dimensional attraction-repulsion Navier-Stokes system with consumption of chemoattractant
- Stabilization in a two-dimensional attraction-repulsion Stokes system with consumption of chemoattractant
- Does repulsion-type directional preference in chemotactic migration continue to regularize Keller-Segel systems when coupled to the Navier-Stokes equations?
- Global stabilization of the full attraction-repulsion Keller-Segel system
- Global classical solutions in a Keller-Segel(-Navier)-Stokes system modeling coral fertilization
- Boundedness in a 2D chemotaxis-Stokes system with general sensitivity and nonlinear diffusion
- Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion
- Boundedness for a 3D chemotaxis-Stokes system with porous medium diffusion and tensor-valued chemotactic sensitivity
- Global existence and large time behavior for a two-dimensional chemotaxis-Navier-Stokes system
- Global existence and boundedness in a 2D Keller-Segel-Stokes system
- An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Stabilization in a chemotaxis model for tumor invasion
- Blow-up in a chemotaxis model without symmetry assumptions
- Boundedness in a two-dimensional attraction-repulsion system with nonlinear diffusion
- On an attraction–repulsion chemotaxis system with a logistic source
- 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
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Logarithmic Sobolev Inequalities
- Stabilization in a higher-dimensional attraction–repulsion chemotaxis system if repulsion dominates over attraction
- Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
- Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization
- COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- 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
