Uniform stability of the Cucker-Smale model and its application to the mean-field limit
DOI10.3934/krm.2018045zbMath1409.34046OpenAlexW2804325703WikidataQ129774823 ScholiaQ129774823MaRDI QIDQ1715967
Seung-Yeal Ha, Xiongtao Zhang, Jeong-Ho Kim
Publication date: 29 January 2019
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/krm.2018045
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) PDEs in connection with mechanics of particles and systems of particles (35Q70)
Related Items (47)
Cites Work
- Unnamed Item
- Asymptotic flocking dynamics of Cucker-Smale particles immersed in compressible fluids
- A new model for self-organized dynamics and its flocking behavior
- A kinetic flocking model with diffusion
- Large scale dynamics of the persistent turning Walker model of fish behavior
- From particle to kinetic and hydrodynamic descriptions of flocking
- Lyapunov functionals and \(L^1\)-stability for discrete velocity Boltzmann equations
- \(L^1\) stability of the Boltzmann equation for the hard-sphere model
- \(L^1\) stability estimates for \(n\times n\) conservation laws
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system
- Active particles, Volume 1. Advances in theory, models, and applications
- Flocking in noisy environments
- Emergence of bi-cluster flocking for the Cucker–Smale model
- Time-asymptotic interaction of flocking particles and an incompressible viscous fluid
- A hydrodynamic model for the interaction of Cucker–Smale particles and incompressible fluid
- Heterophilious Dynamics Enhances Consensus
- Flocking and synchronization of particle models
- Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
- Particle, kinetic, and hydrodynamic models of swarming
- Emergent Dynamics for the Hydrodynamic Cucker--Smale System in a Moving Domain
- Well-posedness theory for hyperbolic conservation laws
- Stochastic flocking dynamics of the Cucker–Smale model with multiplicative white noises
- Emergent Behavior in Flocks
- Optimal Transport
- Flocking dynamics of singularly perturbed oscillator chain and the Cucker-Smale system
This page was built for publication: Uniform stability of the Cucker-Smale model and its application to the mean-field limit