Mean-field limits: from particle descriptions to macroscopic equations
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Publication:2043046
DOI10.1007/s00205-021-01676-xzbMath1478.35170arXiv2007.16025OpenAlexW3167854512MaRDI QIDQ2043046
Young-Pil Choi, José Antonio Carrillo
Publication date: 22 July 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.16025
kinetic energymean-field limitsaggregation equationsEuler-type equationsparticle descriptionsswarming models
Interacting particle systems in time-dependent statistical mechanics (82C22) Developmental biology, pattern formation (92C15) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Vlasov equations (35Q83) Euler equations (35Q31) Integro-partial differential equations (35R09)
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Cites Work
- The Cauchy problem for the pressureless Euler/isentropic Navier-Stokes equations
- Single to double mill small noise transition via semi-Lagrangian finite volume methods
- Mean field limit and propagation of chaos for Vlasov systems with bounded forces
- Propagation of chaos for the 2D viscous vortex model
- First-order aggregation models and zero inertia limits
- Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
- Relative entropy method for the relaxation limit of hydrodynamic models
- \(N\)-particles approximation of the Vlasov equations with singular potential
- On the global regularity of subcritical Euler-Poisson equations with pressure
- From particle to kinetic and hydrodynamic descriptions of flocking
- Double milling in self-propelled swarms from kinetic theory
- The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
- Vlasov equations
- Macroscopic limit of Vlasov type equations with friction
- A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment
- Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces
- Collective behavior models with vision geometrical constraints: truncated noises and propagation of chaos
- Mean-field limit for collective behavior models with sharp sensitivity regions
- Quantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernels
- Classical solutions for fractional porous medium flow
- Large friction limit of pressureless Euler equations with nonlocal forces
- Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces
- A \(\lambda\)-convexity based proof for the propagation of chaos for weakly interacting stochastic particles
- Mean field limit for Coulomb-type flows
- On mean-field limits and quantitative estimates with a large class of singular kernels: application to the Patlak-Keller-Segel model
- Mean field limit for the one dimensional Vlasov-Poisson~equation
- First-order aggregation models with alignment
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- A mean field limit for the Vlasov-Poisson system
- Nonlocal interactions by repulsive-attractive potentials: radial ins/stability
- Linear evolution equations of hyperbolic type. II
- Incompressible Euler and e-MHD as scaling limits of the Vlasov/Maxwell system
- Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity. Based on the presentations at the summer school, Enschede, the Netherlands, 2012
- State transitions and the continuum limit for a 2D interacting, self-propelled particle system
- On well-posedness and singularity formation for the Euler-Riesz system
- Critical thresholds in Euler-Poisson equations
- FROM VLASOV-POISSON SYSTEM TO THE INCOMPRESSIBLE EULER SYSTEM
- Critical thresholds in 1D Euler equations with non-local forces
- On the pressureless damped Euler–Poisson equations with quadratic confinement: Critical thresholds and large-time behavior
- Relative Entropy in Diffusive Relaxation
- STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING
- Critical thresholds in flocking hydrodynamics with non-local alignment
- From gas dynamics with large friction to gradient flows describing diffusion theories
- Particle, kinetic, and hydrodynamic models of swarming
- SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE
- Existence and Hydrodynamic Limit for a Paveri-Fontana Type Kinetic Traffic Model
- Particle approximation of Vlasov equations with singular forces: Propagation of chaos
- WASSERSTEIN DISTANCES FOR VORTICES APPROXIMATION OF EULER-TYPE EQUATIONS
- Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones
- convergence of the vlasov-poisson system to the incompressible euler equations
- From Newton’s second law to Euler’s equations of perfect fluids
- Critical thresholds in one-dimensional damped Euler–Poisson systems
- Singular Cucker–Smale Dynamics
- Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces
- Hydrodynamic limit of the kinetic Cucker–Smale flocking model
- Hydrodynamic Cucker--Smale Model with Normalized Communication Weights and Time Delay
- Emergent Behavior in Flocks
- Weak solutions for Euler systems with non-local interactions
- NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS
- Mean-Field Limits for Some Riesz Interaction Gradient Flows
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- Unnamed Item
- Unnamed Item
- Unnamed Item
