Existence of martingale solutions for stochastic flocking models with local alignment

DOI10.1007/s40072-022-00259-5zbMath1499.92160arXiv2007.01512OpenAlexW4285719667WikidataQ114219504 ScholiaQ114219504MaRDI QIDQ2093309

Arnaud Debussche, Angelo Rosello

Publication date: 7 November 2022

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.01512

zbMATH Keywords

stochastic partial differential equationsmean-field limitcollective motion

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Animal behavior (92D50)

Related Items (1)

Non-mean-field Vicsek-type models for collective behavior

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Propagation of chaos for interacting particles subject to environmental noise
• A new model for self-organized dynamics and its flocking behavior
• Diffusion limit for the radiative transfer equation perturbed by a Wiener process
• On the mathematics of emergence
• Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication
• On Strong Local Alignment in the Kinetic Cucker-Smale Model
• Heterophilious Dynamics Enhances Consensus
• Stochastic differential equations and stochastic flows of diffeomorphisms
• Averaging lemmas without time Fourier transform and application to discretized kinetic equations
• Existence of Weak Solutions to Kinetic Flocking Models
• Stochastic Equations in Infinite Dimensions
• Stochastic flocking dynamics of the Cucker–Smale model with multiplicative white noises
• Emergent Behavior in Flocks
• Optimal Transport

This page was built for publication: Existence of martingale solutions for stochastic flocking models with local alignment