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Environmental averaging (Q6620001)

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scientific article; zbMATH DE number 7927436

Language	Label	Description	Also known as
English	Environmental averaging	scientific article; zbMATH DE number 7927436

Statements

scholarly article

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Environmental averaging (English)

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EMS Surveys in Mathematical Sciences

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publication date

16 October 2024

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zbMATH Keywords

collective behavior

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alignment

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Cucker-Smale system

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Fokker-Planck equation

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mean-field limit

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hydrodynamic limit

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MaRDI profile type

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Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives

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On a spatially inhomogeneous nonlinear Fokker-Planck equation: Cauchy problem and diffusion asymptotics

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Local behavior of solutions of quasilinear parabolic equations

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Stochastic mean-field limit: non-Lipschitz forces and swarming

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(Un)conditional consensus emergence under perturbed and decentralized feedback controls

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Sparse stabilization and control of alignment models

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Sur la théorie de l'équation intégrodifferentielle de Boltzmann

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Critical thresholds in 1D Euler equations with non-local forces

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Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

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Particle, kinetic, and hydrodynamic models of swarming

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Global classical solutions of the Vlasov–Fokker–Planck equation with local alignment forces

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The global Cauchy problem for compressible Euler equations with a nonlocal dissipation

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A Collisionless Singular Cucker--Smale Model with Decentralized Formation Control

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Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker–Planck-alignment model

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State transitions and the continuum limit for a 2D interacting, self-propelled particle system

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Entropy Hierarchies for Equations of Compressible Fluids and Self-Organized Dynamics

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Emergent Behavior in Flocks

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On the mathematics of emergence

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Reaching a Consensus

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On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness

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On Cucker–Smale dynamical systems with degenerate communication

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Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form

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Global regularity for the fractional Euler alignment system

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A kinetic flocking model with diffusion

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Turbulence: Space-time statistical properties and behavior in supersonic flows

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A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment

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Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

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Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime.

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LOG-TRANSFORM AND THE WEAK HARNACK INEQUALITY FOR KINETIC FOKKER-PLANCK EQUATIONS

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Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings

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A hydrodynamic model for the interaction of Cucker-Smale particles and incompressible fluid

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A simple proof of the Cucker-Smale flocking dynamics and mean-field limit

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Emergent dynamics of a thermodynamically consistent particle model

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From particle to kinetic and hydrodynamic descriptions of flocking

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Global regularity of two-dimensional flocking hydrodynamics

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A game of alignment: collective behavior of multi-species

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Self-generating lower bounds and continuation for the Boltzmann equation

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Hypoelliptic second order differential equations

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The Schauder estimate in kinetic theory with application to a toy nonlinear model

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Gaussian Lower Bounds for the Boltzmann Equation without Cutoff

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A Continuous Model For Ratings

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Asymptotic analysis of Vlasov-type equations under strong local alignment regime

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Existence of Weak Solutions to Kinetic Flocking Models

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On Strong Local Alignment in the Kinetic Cucker-Smale Model

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Hydrodynamic limit of the kinetic Cucker–Smale flocking model

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Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.)

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Grassmannian reduction of Cucker-Smale systems and dynamical opinion games

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Global solutions to multi-dimensional topological Euler alignment systems

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The energy balance relation for weak solutions of the density-dependent Navier-Stokes equations

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On the structure of limiting flocks in hydrodynamic Euler Alignment models

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From Semidiscrete to Fully Discrete: Stability of Runge--Kutta Schemes by The Energy Method

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Compactness in Boltzmann's equation via Fourier integral operators and applications. I, II

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Collision-avoiding in the singular Cucker-Smale model with nonlinear velocity couplings

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Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations

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Density-induced consensus protocol

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Flocking with short-range interactions

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A new model for self-organized dynamics and its flocking behavior

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Heterophilious Dynamics Enhances Consensus

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Quantitative Lower Bounds for the Full Boltzmann Equation, Part I: Periodic Boundary Conditions

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The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness

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Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory

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Discrete Cucker--Smale Flocking Model with a Weakly Singular Weight

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Local well-posedness of the topological Euler alignment models of collective behavior

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Flocking hydrodynamics with external potentials

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Anticipation breeds alignment

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Dynamics and Analysis of Alignment Models of Collective Behavior

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Global hypocoercivity of kinetic Fokker-Planck-alignment equations

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Eulerian dynamics with a commutator forcing

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Eulerian dynamics with a commutator forcing. II: Flocking

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Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order \(0 < \alpha < 1\)

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Topologically Based Fractional Diffusion and Emergent Dynamics with Short-Range Interactions

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Multiflocks: Emergent Dynamics in Systems with Multiscale Collective Behavior

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On the Mathematics of Swarming: Emergent Behavior in Alignment Dynamics

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Swarming: hydrodynamic alignment with pressure

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Critical thresholds in flocking hydrodynamics with non-local alignment

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On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds.

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.4171/EMSS/81

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Sitelinks

Mathematics(1 entry)

mardi Publication:6620001

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