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

From the Vlasov–Poisson equation with strong local alignment to the pressureless Euler–Poisson system

(2018) Moon-Jin Kang   APPLIED MATHEMATICS LETTERS

Emergent dynamics of Cucker–Smale flocking particles in a random environment

(2017) Seung-Yeal Ha et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models

(2017) David Poyato et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

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

(2016) José A. Carrillo et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Hydrodynamic limit of granular gases to pressureless Euler in dimension 1

(2016) Pierre-Emmanuel Jabin et al.   QUARTERLY OF APPLIED MATHEMATICS

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

(2015) Moon-Jin Kang et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Hydrodynamic limit of the kinetic Cucker–Smale flocking model

(2015) Trygve K. Karper et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

A Boltzmann model for rod alignment and schooling fish

(2015) Eric Carlen et al.   NONLINEARITY

Emergent Dynamics for the Hydrodynamic Cucker--Smale System in a Moving Domain

(2015) Seung-Yeal Ha et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

A global unique solvability of entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation

(2014) Seung-Yeal Ha et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

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

(2014) Seung-Yeal Ha et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Critical thresholds in flocking hydrodynamics with non-local alignment

(2014) E. Tadmor et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Flocking behavior of the Cucker-Smale model under rooted leadership in a large coupling limit

(2014) Seung-Yeal Ha et al.   QUARTERLY OF APPLIED MATHEMATICS

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

(2013) Seung-Yeal Ha et al.   Communications in Mathematical Sciences

Existence of Weak Solutions to Kinetic Flocking Models

(2013) Trygve K. Karper et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

A New Model for Self-organized Dynamics and Its Flocking Behavior

(2011) Sebastien Motsch et al.   JOURNAL OF STATISTICAL PHYSICS

From particle to kinetic and hydrodynamic descriptions of flocking

(2011) Eitan Tadmor et al.   Kinetic and Related Models

Graph-theoretic connectivity control of mobile robot networks

(2011) M. M. Zavlanos et al.   PROCEEDINGS OF THE IEEE

A Kinetic Flocking Model with Diffusion

(2010) Renjun Duan et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION

(2010) J. A. CAÑIZO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Fluid dynamic description of flocking via the Povzner–Boltzmann equation

(2010) Massimo Fornasier et al.   PHYSICA D-NONLINEAR PHENOMENA

Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

(2010) J. A. Carrillo et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Asymptotic Analysis for a Vlasov-Fokker-Planck/ Compressible Navier-Stokes System of Equations

(2008) A. Mellet et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS