Emergent dynamics of a thermodynamically consistent particle model

DOI10.1007/s00205-016-1062-3zbMath1415.35228OpenAlexW2556477961MaRDI QIDQ509962

Tommaso Ruggeri, Seung-Yeal Ha

Publication date: 16 February 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-016-1062-3

zbMATH Keywords

thermodynamicsgas mixtureCucker-Smale modelflocking modelmulti-temperature model

Mathematics Subject Classification ID

Related Items (49)

Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds ⋮ A mean-field limit of the particle swarmalator model ⋮ Asymptotic flocking dynamics of a relativistic Cucker–Smale flock under singular communications ⋮ Uniform stability and mean-field limit of a thermodynamic Cucker-Smale model ⋮ A global existence of classical solutions to the hydrodynamic Cucker–Smale model in presence of a temperature field ⋮ Emergent Behaviors of Thermodynamic Cucker--Smale Particles ⋮ Uniform stability of the Cucker-Smale and thermodynamic Cucker-Smale ensembles with singular kernels ⋮ Fast and slow velocity alignments in a Cucker-Smale ensemble with adaptive couplings ⋮ Emergent behaviors of thermodynamic Kuramoto ensemble on a regular ring lattice ⋮ Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication ⋮ Discrete thermodynamic Cucker–Smale model with time-delay on a general digraph ⋮ Emergent behaviors of a thermodynamic Cucker‐Smale flock with a time‐delay on a general digraph ⋮ Emergent behaviors of thermodynamic Cucker-Smale ensemble with a unit-speed constraint ⋮ The large-time behavior of the Vlasov alignment model with power-law or Riesz potentials ⋮ Time-delay effect on the flocking in an ensemble of thermomechanical Cucker-Smale particles ⋮ Convergence Toward a Periodically Rotating One-Point Cluster in the Kinetic Thermodynamic Cucker-Smale Model ⋮ Non-emergence of mono-cluster flocking and multi-cluster flocking of the thermodynamic Cucker-Smale model with a unit-speed constraint ⋮ The global existence of strong solutions to thermomechanical Cucker-Smale-Stokes equations in the whole domain ⋮ On the mathematical theory of behavioral swarms emerging collective dynamics ⋮ Human behavioral crowds review, critical analysis and research perspectives ⋮ Solvability and blow-up criterion of the thermomechanical Cucker-Smale-Navier-Stokes equations in the whole domain ⋮ Slow flocking dynamics of the Cucker-Smale ensemble with a chemotactic movement in a temperature field ⋮ Flocking of a thermodynamic Cucker-Smale model with local velocity interactions ⋮ Relaxation dynamics of SIR-flocks with random epidemic states ⋮ Singular Cucker–Smale Dynamics ⋮ Emergent flocking dynamics of the discrete thermodynamic Cucker-Smale model ⋮ Global dynamics of the thermomechanical Cucker–Smale ensemble immersed in incompressible viscous fluids ⋮ Emergent behaviors of the continuum thermodynamic Kuramoto model in a large coupling regime ⋮ Hydrodynamic limit of a coupled Cucker–Smale system with strong and weak internal variable relaxation ⋮ One dimensional singular Cucker-Smale model: uniform-in-time mean-field limit and contractivity ⋮ On the coupling of kinetic thermomechanical Cucker-Smale equation and compressible viscous fluid system ⋮ Emergent behaviors of Cucker–Smale flocks on the hyperboloid ⋮ 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 ⋮ Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives ⋮ Emergent behaviors of the swarmalator model for position-phase aggregation ⋮ Density-induced consensus protocol ⋮ From discrete Cucker-Smale model to continuous Cucker-Smale model in a temperature field ⋮ Emergent behaviors of relativistic flocks on Riemannian manifolds ⋮ Uniform stability and uniform-in-time mean-field limit of the thermodynamic Kuramoto model ⋮ Flocking dynamics of the inertial spin model with a multiplicative communication weight ⋮ Towards a mathematical theory of behavioral swarms ⋮ Emergence of mono-cluster flocking in the thermomechanical Cucker–Smale model under switching topologies ⋮ Emergent Behaviors of Rotation Matrix Flocks ⋮ 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 ⋮ Complete solvability of the inertial spin model with an averaged spin

Cites Work

• Unnamed Item
• Unnamed Item
• Fluid dynamic description of flocking via the Povzner-Boltzmann equation
• A new model for self-organized dynamics and its flocking behavior
• Modeling group dynamics of phototaxis: from particle systems to PDEs
• Large scale dynamics of the persistent turning Walker model of fish behavior
• From particle to kinetic and hydrodynamic descriptions of flocking
• Galilean invariance and entropy principle for systems of balance laws
• Stochastic models for phototaxis
• Particle, kinetic and fluid models for phototaxis
• A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
• Emergence of bi-cluster flocking for the Cucker–Smale model
• Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
• Cucker–Smale Flocking under Hierarchical Leadership
• Matrix Analysis
• A simple alternative to the Barbalat lemma
• Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
• Avoiding Collisions in Flocks
• Rational Extended Thermodynamics beyond the Monatomic Gas
• Emergent Behavior in Flocks
• On the hyperbolic system of a mixture of Eulerian fluids: a comparison between single‐ and multi‐temperature models
• Cucker–Smale Flocking under Rooted Leadership with Fixed and Switching Topologies

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