Global existence for a kinetic model of pattern formation with density-suppressed motilities
From MaRDI portal
Publication:2184716
DOI10.1016/j.jde.2020.04.001zbMath1440.35330arXiv2001.00144OpenAlexW3014262284MaRDI QIDQ2184716
Publication date: 29 May 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.00144
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Pattern formations in context of PDEs (35B36)
Related Items (52)
Traveling wave solutions to the density-suppressed motility model ⋮ Global existence of a quasilinear chemotaxis model with signal-dependent motility and indirect signal production mechanism ⋮ Global classical solutions for a class of reaction-diffusion system with density-suppressed motility ⋮ Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities ⋮ 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 ⋮ Critical mass capacity for two-dimensional Keller–Segel model with nonlocal reaction terms ⋮ Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source ⋮ 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 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 ⋮ A note to the global solvability of a chemotaxis-Navier-Stokes system with density-suppressed motility ⋮ Viral infection dynamics with immune chemokines and CTL mobility modulated by the infected cell density ⋮ Boundedness and Asymptotic Stability in a Chemotaxis Model with Signal-Dependent Motility and Nonlinear Signal Secretion ⋮ Dynamics for a chemotaxis model with general logistic damping and signal dependent motility ⋮ Boundedness and large-time behavior in a chemotaxis system with signal-dependent motility arising from tumor invasion ⋮ 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 ⋮ Modeling bacterial traveling wave patterns with exact cross-diffusion and population growth ⋮ 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 ⋮ Predator-prey systems with defense switching and density-suppressed dispersal strategy ⋮ On a two-species competitive predator-prey system with density-dependent diffusion ⋮ Asymptotic stability of spiky steady states for a singular chemotaxis model with signal-suppressed motility ⋮ Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator ⋮ Nonlinear diffusion for bacterial traveling wave phenomenon ⋮ Global dynamics of a tumor invasion model with/without logistic source ⋮ Global boundedness and large time behavior of solutions to a chemotaxis-consumption system with signal-dependent motility ⋮ The Keller-Segel system with logistic growth and signal-dependent motility ⋮ Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities ⋮ 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 ⋮ Global dynamics of a chemotaxis model with signal-dependent diffusion and sensitivity ⋮ Improvement of conditions for boundedness in a chemotaxis consumption system with density-dependent motility ⋮ Global solvability of a class of reaction-diffusion systems with cross-diffusion ⋮ Global existence of weak solutions to a signal-dependent Keller-Segel model for local sensing chemotaxis ⋮ Dynamics in an attraction–repulsion Navier–Stokes system with signal-dependent motility and sensitivity ⋮ Logistic damping effect in chemotaxis models with density-suppressed motility ⋮ Delayed blow‐up for chemotaxis models with local sensing ⋮ 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
- Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity
- On convergence to equilibria for the Keller-Segel chemotaxis model
- Infinite-dimensional dynamical systems in mechanics and physics
- An application of the invariance principle to reaction diffusion equations
- Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
- Semi-linear second-order elliptic equations in \(L^1\)
- Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
- Convergence to equilibria of global solutions to a degenerate quasilinear Keller-Segel system
- Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system
- New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Blow-up in a chemotaxis model without symmetry assumptions
- Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity
- Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Minimal Mass Blowup Solutions for the Patlak‐Keller‐Segel Equation
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- On convergence to equilibria for a chemotaxis model with volume-filling effect
- Chemotactic collapse in a parabolic system of mathematical biology
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
This page was built for publication: Global existence for a kinetic model of pattern formation with density-suppressed motilities