Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions
From MaRDI portal
Publication:2145654
DOI10.1016/j.na.2022.112987zbMath1491.35066arXiv2102.12080OpenAlexW3130247154WikidataQ114146005 ScholiaQ114146005MaRDI QIDQ2145654
Publication date: 17 June 2022
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.12080
Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (12)
Global boundedness of solutions to a parabolic–parabolic chemotaxis system with local sensing in higher dimensions ⋮ Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model ⋮ Keller–Segel–Stokes interaction involving signal‐dependent motilities ⋮ 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 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 ⋮ 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 ⋮ 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
Cites Work
- Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities
- Model for chemotaxis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility
- Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities
- A logarithmic chemotaxis model featuring global existence and aggregation
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Lyapunov functions and Lp-estimates for a class of reaction-diffusion systems
- Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing
- Delayed blow‐up for chemotaxis models with local sensing
- Critical mass on the Keller-Segel system with signal-dependent motility
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions
