Critical mass on the Keller-Segel system with signal-dependent motility
From MaRDI portal
Publication:5119238
DOI10.1090/proc/15124zbMath1448.35516arXiv1911.05340OpenAlexW3016966934MaRDI QIDQ5119238
Publication date: 3 September 2020
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.05340
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)
Related Items (44)
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 ⋮ Global boundedness and stability in a density-suppressed motility model with generalized logistic source and nonlinear signal production ⋮ Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions ⋮ Global dynamics of a three-species spatial food chain model ⋮ Convergence rate estimates of a higher-dimension reaction-diffusion system with density-dependent motility ⋮ 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 ⋮ A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller-Segel systems ⋮ Global boundedness of solutions to a parabolic–parabolic chemotaxis system with local sensing in higher dimensions ⋮ Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption ⋮ Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity ⋮ 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 ⋮ 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 ⋮ 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 ⋮ 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 ⋮ 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 ⋮ Nonlinear diffusion for bacterial traveling wave phenomenon ⋮ 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 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 ⋮ Weak solutions to a class of signal-dependent motility Keller-Segel systems with superlinear damping ⋮ Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis ⋮ 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
- Unnamed Item
- Unnamed Item
- Boundedness in a fully parabolic chemotaxis system with singular sensitivity
- Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system
- Global weak solutions in a chemotaxis system with large singular sensitivity
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Model for chemotaxis
- Boundedness, blowup and critical mass phenomenon in competing chemotaxis
- Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity
- Model of chemotaxis with threshold density and singular diffusion
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- 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
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Stabilization in the logarithmic Keller-Segel system
- Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
- Blow-up in a chemotaxis model without symmetry assumptions
- A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
- Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Classical solutions and pattern formation for a volume filling chemotaxis model
- LPBounds of solutions of reaction-diffusion equations
- 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 multiscale view of nonlinear diffusion in biology: From cells to tissues
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Uniqueness and convergence on equilibria of the Keller–Segel system with subcritical mass
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- The nonsymmetric case of the Keller-Segel model in chemotaxis: some recent results.
This page was built for publication: Critical mass on the Keller-Segel system with signal-dependent motility
