Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
From MaRDI portal
Publication:2127543
DOI10.3934/era.2022052zbMath1486.35260arXiv2102.08042OpenAlexW3130966582MaRDI QIDQ2127543
Publication date: 20 April 2022
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.08042
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (9)
Solitons and other nonlinear waves for stochastic Schrödinger‐Hirota model using improved modified extended tanh‐function approach ⋮ 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 ⋮ Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator ⋮ Unnamed Item ⋮ Logistic damping effect in chemotaxis models with density-suppressed motility ⋮ Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing ⋮ Global dynamics for a chemotaxis consumption system with signal-dependent motility and logistic source
Cites Work
- Boundedness in a fully parabolic chemotaxis system with singular sensitivity
- Traveling wave solutions to the density-suppressed motility model
- Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities
- Model for chemotaxis
- Infinite-dimensional dynamical systems in mechanics and physics
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- Traveling wave solutions for a bacteria system with density-suppressed motility
- Semi-linear second-order elliptic equations in \(L^1\)
- The Keller-Segel system with logistic growth and signal-dependent motility
- A chemotaxis system with signal-dependent motility, indirect signal production and generalized logistic source: global existence and asymptotic stabilization
- Global existence for a class of chemotaxis systems with signal-dependent motility, indirect signal production and generalized logistic source
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility
- Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source
- Stationary and non-stationary patterns of the density-suppressed motility model
- A logarithmic chemotaxis model featuring global existence and aggregation
- On the global existence of solutions to an aggregation model
- Large time behavior of solutions for density-suppressed motility system in higher dimensions
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates
- Self-Adjoint Realizations in Another Hilbert Space
- 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
- Pattern formation in bacterial colonies with density-dependent diffusion
- Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing
- COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
- 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
- An n-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization
- Delayed blow‐up for chemotaxis models with local sensing
- Steady states and pattern formation of the density-suppressed motility model
- Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
- Critical mass on the Keller-Segel system with signal-dependent motility
This page was built for publication: Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
