Global dynamics for a chemotaxis consumption system with signal-dependent motility and logistic source
From MaRDI portal
Publication:2111980
DOI10.1016/j.jde.2022.12.004zbMath1505.92027OpenAlexW4311486352MaRDI QIDQ2111980
Publication date: 17 January 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.12.004
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Cell movement (chemotaxis, etc.) (92C17)
Related Items (4)
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption ⋮ Boundedness of classical solutions to a chemotaxis consumption system with signal dependent motility and logistic source ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ A note to the global solvability of a chemotaxis-Navier-Stokes system with density-suppressed motility
Cites Work
- Unnamed Item
- Unnamed Item
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- 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
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities
- Initiation of slime mold aggregation viewed as an instability
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- Compact sets in the space \(L^ p(0,T;B)\)
- 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
- Global boundedness and large time behavior of solutions to a chemotaxis-consumption system with signal-dependent motility
- Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility
- Boundedness and stabilization in the chemotaxis consumption model with signal-dependent motility
- Asymptotic behavior of a quasilinear Keller-Segel system with signal-suppressed motility
- Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities
- Logistic damping effect in chemotaxis models with density-suppressed motility
- Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension
- Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility
- Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source
- A logarithmic chemotaxis model featuring global existence and aggregation
- Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
- On the global existence of solutions to an aggregation model
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Distributions, Sobolev spaces, elliptic equations
- Boundedness vs. blow-up in a chemotaxis system
- Large time behavior of solutions for density-suppressed motility system in higher dimensions
- Long-term behaviour in a chemotaxis-fluid system with logistic source
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth
- Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing
- Global boundedness of solutions to a chemotaxis–haptotaxis model with tissue remodeling
- On the parabolic‐elliptic Keller–Segel system with signal‐dependent motilities: A paradigm for global boundedness and steady states
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- An n-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization
- Delayed blow‐up for chemotaxis models with local sensing
- Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption
- Critical mass on the Keller-Segel system with signal-dependent motility
- Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller–Segel type systems involving signal-dependent motilities?
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model
This page was built for publication: Global dynamics for a chemotaxis consumption system with signal-dependent motility and logistic source
