Hydrodynamic limit of a coupled Cucker–Smale system with strong and weak internal variable relaxation
From MaRDI portal
Publication:5164233
DOI10.1142/S0218202521400042zbMath1475.92218arXiv2101.04585MaRDI QIDQ5164233
Juan Soler, David Poyato, Jeong-Ho Kim
Publication date: 10 November 2021
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.04585
hydrodynamic limitsingular weightskinetic modelflockingmultiscale modelinternal variablethermomechanical Cucker-Smale model
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Hydrodynamic stability (76E99) Animal behavior (92D50)
Related Items (5)
On the stochastic singular Cucker–Smale model: Well-posedness, collision-avoidance and flocking ⋮ Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision ⋮ Discrete thermodynamic Cucker–Smale model with time-delay on a general digraph ⋮ Human behavioral crowds review, critical analysis and research perspectives ⋮ Collective dynamics in science and society
Cites Work
- A conditional, collision-avoiding, model for swarming
- Emergent dynamics of a thermodynamically consistent particle model
- Global existence of solutions for the coupled Vlasov and Navier-Stokes equations.
- A new model for self-organized dynamics and its flocking behavior
- Clustering and asymptotic behavior in opinion formation
- Non-oscillatory central differencing for hyperbolic conservation laws
- Minimal mechanisms for school formation in self-propelled particles
- The mean-field limit for solid particles in a Navier-Stokes flow
- From particle to kinetic and hydrodynamic descriptions of flocking
- On the mathematics of emergence
- Handbook of applied analysis
- A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment
- The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness
- A derivation of the Vlasov-Navier-Stokes model for aerosol flows from kinetic theory
- On the homogenization of the Stokes problem in a perforated domain
- Identification of the dilute regime in particle sedimentation
- Geometric aspects of convex sets with the Radon-Nikodym property
- Propagation of the mono-kinetic solution in the Cucker-Smale-type kinetic equations
- 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
- Global existence and large time behaviour of solutions for the Vlasov-Stokes equations
- Particle, kinetic and fluid models for phototaxis
- On the coupling of kinetic thermomechanical Cucker-Smale equation and compressible viscous fluid system
- Hydrodynamic limit of the kinetic thermomechanical cucker-Smale model in a strong local alignment regime
- Flocking and turning: a new model for self-organized collective motion
- First-order aggregation models with alignment
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- A derivation of the Vlasov-Stokes system for aerosol flows from the kinetic theory of binary gas mixtures
- Linear functionals on certain spaces of abstractly valued functions
- Central Schemes for Balance Laws of Relaxation Type
- Time-asymptotic interaction of flocking particles and an incompressible viscous fluid
- A hydrodynamic model for the interaction of Cucker–Smale particles and incompressible fluid
- Critical thresholds in flocking hydrodynamics with non-local alignment
- A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION
- Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
- Dynamic Theory of Suspensions with Brownian Effects
- Some Remarks on Functions with One-Sided Derivatives
- Total-Variation-Diminishing Time Discretizations
- 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
- Global dynamics of the thermomechanical Cucker–Smale ensemble immersed in incompressible viscous fluids
- Existence of Weak Solutions to Kinetic Flocking Models
- Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders
- Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
- On the control through leadership of the Hegselmann–Krause opinion formation model
- Hydrodynamic limit of the kinetic Cucker–Smale flocking model
- Rational Extended Thermodynamics beyond the Monatomic Gas
- Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models
- Emergent Behavior in Flocks
- A General Collision-Avoiding Flocking Framework
- Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime.
- A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
- Towards a mathematical theory of behavioral swarms
- Essentially non-oscillatory and weighted essentially non-oscillatory schemes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Hydrodynamic limit of a coupled Cucker–Smale system with strong and weak internal variable relaxation