A local sensitivity analysis for the kinetic Cucker-Smale equation with random inputs

DOI10.1016/j.jde.2018.05.013zbMath1395.35178OpenAlexW2878053916MaRDI QIDQ1651948

Seung-Yeal Ha, Jinwook Jung, Shih Jin

Publication date: 11 July 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.05.013

zbMATH Keywords

uncertainty quantificationCucker-Smale modelrandom inputslocal sensitivity analysispathwise flocking estimaterandom communication

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) PDEs with randomness, stochastic partial differential equations (35R60) Random dynamical systems (37H99) PDEs in connection with statistical mechanics (35Q82)

Related Items (9)

Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication ⋮ Local Sensitivity Analysis for the Kuramoto--Daido Model with Random Inputs in a Large Coupling Regime ⋮ Quantitative local sensitivity estimates for the random kinetic Cucker-Smale model with chemotactic movement ⋮ Structure preserving stochastic Galerkin methods for Fokker-Planck equations with background interactions ⋮ Interplay of random inputs and adaptive couplings in the Winfree model ⋮ Local well-posedness and sensitivity analysis for the self-organized kinetic model ⋮ A local sensitivity analysis for the kinetic Kuramoto equation with random inputs ⋮ A local sensitivity analysis for the hydrodynamic Cucker-Smale model with random inputs ⋮ A local sensitivity analysis in Landau damping for the kinetic Kuramoto equation with random inputs

Cites Work

• Unnamed Item
• Unnamed Item
• On collision-avoiding initial configurations to Cucker-Smale type flocking models
• A new model for self-organized dynamics and its flocking behavior
• A kinetic flocking model with diffusion
• Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings
• Emergent dynamics of Cucker-Smale flocking particles in a random environment
• Large scale dynamics of the persistent turning Walker model of fish behavior
• From particle to kinetic and hydrodynamic descriptions of flocking
• Uncertainty quantification in control problems for flocking models
• Well-posedness of weak and strong solutions to the kinetic Cucker-Smale model
• The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness
• Local sensitivity analysis for the Cucker-Smale model with random inputs
• Uniform stability of the Cucker-Smale model and its application to the mean-field limit
• A stochastic Galerkin method for the Boltzmann equation with uncertainty
• 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
• Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition-based asymptotic-preserving method
• Flocking in noisy environments
• A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs
• On Strong Local Alignment in the Kinetic Cucker-Smale Model
• Heterophilious Dynamics Enhances Consensus
• A Stochastic Galerkin Method for Hamilton--Jacobi Equations with Uncertainty
• On flocks influenced by closest neighbors
• Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
• Particle, kinetic, and hydrodynamic models of swarming
• A Cucker--Smale Model with Noise and Delay
• Asymptotic analysis of Vlasov-type equations under strong local alignment regime
• Cucker–Smale Flocking under Hierarchical Leadership
• Flocking of the Cucker-Smale Model on General Digraphs
• A positive role of multiplicative noise on the emergence of flocking in a stochastic Cucker-Smale system
• Avoiding Collisions in Cucker--Smale Flocking Models under Group-Hierarchical Multileadership
• Hypocoercivity and Uniform Regularity for the Vlasov--Poisson--Fokker--Planck System with Uncertainty and Multiple Scales
• Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kinetic-fluid two-phase flow model with random initial inputs in the light particle regime
• Uniform Regularity for Linear Kinetic Equations with Random Input Based on Hypocoercivity
• Hypocoercivity Based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs
• Existence of Weak Solutions to Kinetic Flocking Models
• Hydrodynamic limit of the kinetic Cucker–Smale flocking model
• Stochastic flocking dynamics of the Cucker–Smale model with multiplicative white noises
• Emergent Behavior in Flocks
• A General Collision-Avoiding Flocking Framework
• An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings

This page was built for publication: A local sensitivity analysis for the kinetic Cucker-Smale equation with random inputs