Boundedness and large time behavior in a two-dimensional Keller-Segel-Navier-Stokes system with signal-dependent diffusion and sensitivity
DOI10.3934/dcds.2018155zbMath1397.35029OpenAlexW2802186118WikidataQ129914327 ScholiaQ129914327MaRDI QIDQ1661125
Publication date: 16 August 2018
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2018155
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Reaction terms avoiding aggregation in slow fluids
- Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
- A coupled chemotaxis-fluid model: global existence
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Initiation of slime mold aggregation viewed as an instability
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- 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
- Nonlinear aspects of chemotaxis
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Remarks on the Euler equation
- Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
- Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
- Existence of smooth solutions to coupled chemotaxis-fluid equations
- Modelling the movement of interacting cell populations
- New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- On the global existence of solutions to an aggregation model
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Boundedness vs. blow-up in a chemotaxis system
- Bacterial swimming and oxygen transport near contact lines
- Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
- Global existence and slow grow-up in a quasilinear Keller–Segel system with exponentially decaying diffusivity
- The one-dimensional chemotaxis model: global existence and asymptotic profile
- Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
- A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- COUPLED CHEMOTAXIS FLUID MODEL
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- 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
This page was built for publication: Boundedness and large time behavior in a two-dimensional Keller-Segel-Navier-Stokes system with signal-dependent diffusion and sensitivity