On the coupling of kinetic thermomechanical Cucker-Smale equation and compressible viscous fluid system

DOI10.1007/s00021-019-0466-xzbMath1429.35173OpenAlexW2997887492WikidataQ126465815 ScholiaQ126465815MaRDI QIDQ2289453

Jinwook Jung, Seung-Yeal Ha, Young-Pil Choi, Jeong-Ho Kim

Publication date: 28 January 2020

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-019-0466-x

zbMATH Keywords

thermodynamicscompressible Navier-Stokes equationsgas mixtureCucker-Smale flocking modelinteractions between particle and fluidkinetic-fluid system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (16)

Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds ⋮ Emergent behaviors of a thermodynamic Cucker‐Smale flock with a time‐delay on a general digraph ⋮ Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain ⋮ Convergence Toward a Periodically Rotating One-Point Cluster in the Kinetic Thermodynamic Cucker-Smale Model ⋮ Solvability and blow-up criterion of the thermomechanical Cucker-Smale-Navier-Stokes equations in the whole domain ⋮ Non-uniform dependence on initial data for the generalized Camassa-Holm-Novikov equation in Besov space ⋮ Hydrodynamic limit of a coupled Cucker–Smale system with strong and weak internal variable relaxation ⋮ On the Cucker--Smale Ensemble with the q-Closest Neighbors in a Self-Consistent Temperature Field ⋮ From the relativistic mixture of gases to the relativistic Cucker-Smale flocking ⋮ Hydrodynamic limit of the kinetic thermomechanical cucker-Smale model in a strong local alignment regime ⋮ Emergent behaviors of continuous and discrete thermomechanical Cucker–Smale models on general digraphs ⋮ From discrete Cucker-Smale model to continuous Cucker-Smale model in a temperature field ⋮ Emergence of mono-cluster flocking in the thermomechanical Cucker–Smale model under switching topologies ⋮ Emergent behaviors of the discrete thermodynamic Cucker–Smale model on complete Riemannian manifolds ⋮ Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble ⋮ Asymptotic analysis for a Vlasov–Fokker–Planck/Navier–Stokes system in a bounded domain

Cites Work

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• On the analysis of a coupled kinetic-fluid model with local alignment forces

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