On Strong Local Alignment in the Kinetic Cucker-Smale Model
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Publication:2864993
DOI10.1007/978-3-642-39007-4_11zbMath1276.35142arXiv1202.4344OpenAlexW1558545980MaRDI QIDQ2864993
Konstantina Trivisa, Trygve K. Karper, Antoine Mellet
Publication date: 27 November 2013
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.4344
Related Items (22)
Asymptotic analysis for 1D compressible Navier–Stokes–Vlasov equations with local alignment force ⋮ A BGK kinetic model with local velocity alignment forces ⋮ A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment ⋮ Asymptotic analysis of Vlasov-type equations under strong local alignment regime ⋮ Global hypocoercivity of kinetic Fokker-Planck-alignment equations ⋮ A local sensitivity analysis for the kinetic Cucker-Smale equation with random inputs ⋮ Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker–Planck-alignment model ⋮ Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system ⋮ Formation behaviour of the kinetic Cucker–Smale model with non-compact support ⋮ Pattern formation of the Cucker–Smale type kinetic models based on gradient flow ⋮ Local sensitivity analysis for the Cucker-Smale model with random inputs ⋮ Entropy Hierarchies for Equations of Compressible Fluids and Self-Organized Dynamics ⋮ Asymptotic flocking for the three-zone model ⋮ From the Vlasov-Poisson equation with strong local alignment to the pressureless Euler-Poisson system ⋮ On the analysis of a coupled kinetic-fluid model with local alignment forces ⋮ Hydrodynamic limit of the kinetic thermomechanical cucker-Smale model in a strong local alignment regime ⋮ Existence and Hydrodynamic Limit for a Paveri-Fontana Type Kinetic Traffic Model ⋮ The Kinetic Cucker--Smale Model: Well-Posedness and Asymptotic Behavior ⋮ A local sensitivity analysis for the hydrodynamic Cucker-Smale model with random inputs ⋮ Large friction-high force fields limit for the nonlinear Vlasov-Poisson-Fokker-Planck system ⋮ Existence of martingale solutions for stochastic flocking models with local alignment ⋮ Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models
Cites Work
- A new model for self-organized dynamics and its flocking behavior
- From particle to kinetic and hydrodynamic descriptions of flocking
- On the mathematics of emergence
- Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
- A limiting case for velocity averaging
- Existence of Weak Solutions to Kinetic Flocking Models
- Hydrodynamic limit of the kinetic Cucker–Smale flocking model
- Emergent Behavior in Flocks
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