Global solutions in a quasilinear parabolic-parabolic chemotaxis system with decaying diffusivity and consumption of a chemoattractant
From MaRDI portal
Publication:1659278
DOI10.1016/j.jmaa.2018.06.001zbMath1396.35030OpenAlexW2805661835WikidataQ129722774 ScholiaQ129722774MaRDI QIDQ1659278
Publication date: 15 August 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.06.001
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (7)
On an exponentially decaying diffusive chemotaxis system with indirect signals ⋮ Boundedness and large-time behavior for a two-dimensional quasilinear chemotaxis-growth system with indirect signal consumption ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments ⋮ Analysis of a chemotaxis model with indirect signal absorption ⋮ On a quasilinear fully parabolic attraction or repulsion chemotaxis system with nonlinear signal production ⋮ Boundedness in a two-species chemotaxis-consumption system with nonlinear diffusion and sensitivity
Cites Work
- Unnamed Item
- Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant
- Global bounded solutions in a two-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Global existence and boundedness in a higher-dimensional quasilinear chemotaxis system
- Boundedness in a chemotaxis model with exponentially decaying diffusivity and consumption of chemoattractant
- Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
- Boundedness in a parabolic-parabolic chemotaxis system with nonlinear diffusion
- New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models
- Stabilization in a higher-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Boundedness vs. blow-up in a chemotaxis system
- A quasi-linear parabolic system of chemotaxis
- Bacterial swimming and oxygen transport near contact lines
- Global existence and asymptotic behavior to a chemotaxis system with consumption of chemoattractant in higher dimensions
- Global existence and slow grow-up in a quasilinear Keller–Segel system with exponentially decaying diffusivity
- A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Volume Filling Effect in Modelling Chemotaxis
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
This page was built for publication: Global solutions in a quasilinear parabolic-parabolic chemotaxis system with decaying diffusivity and consumption of a chemoattractant
