Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities
From MaRDI portal
Publication:2051415
DOI10.1007/s10440-021-00450-1zbMath1478.35035arXiv2007.05728OpenAlexW3208961068MaRDI QIDQ2051415
Publication date: 24 November 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.05728
Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (31)
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions ⋮ Boundedness and exponential stabilization in a parabolic-elliptic Keller-Segel model with signal-dependent motilities for local sensing chemotaxis ⋮ Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption ⋮ Global boundedness of solutions to a parabolic–parabolic chemotaxis system with local sensing in higher dimensions ⋮ On a comparison method for a parabolic-elliptic system of chemotaxis with density-suppressed motility and logistic growth ⋮ Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption ⋮ Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration-consumption interaction ⋮ Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model ⋮ Boundedness of solutions in a predator-prey system with density-dependent motilities and indirect pursuit-evasion interaction ⋮ 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 ⋮ Boundedness of classical solutions to a chemotaxis consumption system with signal dependent motility and logistic source ⋮ Boundedness of solutions to a fully parabolic indirect pursuit-evasion predator-prey system with density-dependent diffusion in \(\mathbb{R}^2\) ⋮ Boundedness and Asymptotic Stability in a Chemotaxis Model with Signal-Dependent Motility and Nonlinear Signal Secretion ⋮ Keller–Segel–Stokes interaction involving signal‐dependent motilities ⋮ Dynamics for a chemotaxis model with general logistic damping and signal dependent motility ⋮ A short remark on comparison estimates in a chemotaxis system with local sensing ⋮ 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 ⋮ Global existence and uniform boundedness in a fully parabolic Keller-Segel system with non-monotonic signal-dependent motility ⋮ Global bounded classical solutions to a parabolic–elliptic chemotaxis model with local sensing and asymptotically unbounded motility ⋮ Boundedness and asymptotic stability in a predator-prey system with density-dependent motilities ⋮ A quantitative strong parabolic maximum principle and application to a taxis-type migration-consumption model involving signal-dependent degenerate diffusion ⋮ Dynamics in two-predator and one-prey models with signal-dependent motility ⋮ Unnamed Item ⋮ Weak solutions to a class of signal-dependent motility Keller-Segel systems with superlinear damping ⋮ Logistic damping effect in chemotaxis models with density-suppressed motility ⋮ Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing ⋮ Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension ⋮ Global dynamics for a chemotaxis consumption system with signal-dependent motility and logistic source
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global bifurcation and stability of steady states for a bacterial colony model with density-suppressed motility
- Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Infinite-dimensional dynamical systems in mechanics and physics
- An application of the invariance principle to reaction diffusion equations
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\)
- Global existence for a class of chemotaxis systems with signal-dependent motility, indirect signal production and generalized logistic source
- Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- Stationary and non-stationary patterns of the density-suppressed motility model
- A logarithmic chemotaxis model featuring global existence and aggregation
- A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
- Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
- Large time behavior of solutions for density-suppressed motility system in higher dimensions
- Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- 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
- A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system
- 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
- Delayed blow‐up for chemotaxis models with local sensing
- Steady states and pattern formation of the density-suppressed motility model
- Critical mass on the Keller-Segel system with signal-dependent motility
This page was built for publication: Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities
