Emergent dynamics of Cucker-Smale particles under the effects of random communication and incompressible fluids

DOI10.1016/j.jde.2017.12.020zbMath1384.35087OpenAlexW2778816352MaRDI QIDQ683488

Xiongtao Zhang, Seung-Yeal Ha, Qing-Hua Xiao

Publication date: 6 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jde.2017.12.020

zbMATH Keywords

weak and strong solutionsCucker-Smale particlesCucker-Smale-Fokker-Planck (CS-FP) equationincompressible Navier-Stokes (N-S) equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35) Fokker-Planck equations (35Q84)

Related Items (4)

Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain ⋮ On the global solvability of the coupled kinetic-fluid system for flocking with large initial data ⋮ Flocking of non-identical Cucker-Smale models on general coupling network ⋮ Delay-dependent flocking dynamics of a two-group coupling system

Cites Work

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• Global existence of weak and strong solutions to Cucker-Smale-Navier-Stokes equations in \(\mathbb{R}^2\)
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
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• Global weak solution to the inhomogeneous Navier-Stokes-Vlasov equations
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• Time-asymptotic interaction of flocking particles and an incompressible viscous fluid
• The Navier–Stokes–Vlasov–Fokker–Planck System near Equilibrium
• Existence of Weak Solutions to Kinetic Flocking Models
• Stochastic flocking dynamics of the Cucker–Smale model with multiplicative white noises
• Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime.
• On the analysis of a coupled kinetic-fluid model with local alignment forces

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