Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term
From MaRDI portal
Publication:2062154
DOI10.3934/eect.2020040zbMath1480.35005OpenAlexW3013038988MaRDI QIDQ2062154
Publication date: 24 December 2021
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2020040
A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09)
Related Items (16)
Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities ⋮ Global boundedness and stability in a density-suppressed motility model with generalized logistic source and nonlinear signal production ⋮ Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration-consumption interaction ⋮ Existence and asymptotic properties of aerotaxis model with the Fokker-Planck type diffusion ⋮ Boundedness in a taxis-consumption system involving signal-dependent motilities and concurrent enhancement of density-determined diffusion and cross-diffusion ⋮ Global solutions to a chemotaxis-growth system with signal-dependent motilities and signal consumption ⋮ Dynamics for a chemotaxis model with general logistic damping and signal dependent motility ⋮ Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing ⋮ Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction ⋮ Global boundedness and large time behavior in a signal-dependent motility system with nonlinear signal consumption ⋮ A quantitative strong parabolic maximum principle and application to a taxis-type migration-consumption model involving signal-dependent degenerate diffusion ⋮ Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller–Segel type systems involving signal-dependent motilities? ⋮ Global boundedness and large time behavior of solutions to a chemotaxis-consumption system with signal-dependent motility ⋮ Weak solutions to a class of signal-dependent motility Keller-Segel systems with superlinear damping ⋮ An n-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization ⋮ Logistic damping effect in chemotaxis models with density-suppressed motility
Cites Work
- Unnamed Item
- Unnamed Item
- How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
- Free energy and self-interacting particles
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Initiation of slime mold aggregation viewed as an instability
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- 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
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems
- Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
- On the global existence of solutions to an aggregation model
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Boundedness vs. blow-up in a chemotaxis system
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- Classical solutions and pattern formation for a volume filling chemotaxis model
- 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
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- A Chemotaxis System with Logistic Source
This page was built for publication: Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term
