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

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

Doubly Connected V-States for the Generalized Surface Quasi-Geostrophic Equations

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

(2016) José A. Carrillo et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

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

From a systems theory of sociology to modeling the onset and evolution of criminality

(2015) Nicola Bellomo et al.   Networks and Heterogeneous Media

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

(2015) Jan Peszek   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

On the multiscale modeling of vehicular traffic: From kinetic to hydrodynamics

(2014) Nicola Bellomo et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Global existence of strong solution for the Cucker–Smale–Navier–Stokes system

(2014) Hyeong-Ohk Bae et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Existence of piecewise weak solutions of a discrete Cucker–Smale's flocking model with a singular communication weight

(2014) Jan Peszek   JOURNAL OF DIFFERENTIAL EQUATIONS

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

Heterophilious Dynamics Enhances Consensus

(2014) Sebastien Motsch et al.   SIAM REVIEW

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

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

ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES

(2013) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Hydrodynamics of soft active matter

(2013) M. C. Marchetti et al.   REVIEWS OF MODERN PHYSICS

Hyperbolic versus Parabolic Asymptotics in Kinetic Theory toward Fluid Dynamic Models

(2013) Abdelghani Bellouquid et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Existence of Weak Solutions to Kinetic Flocking Models

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

Active Brownian particles

(2012) P. Romanczuk et al.   European Physical Journal-Special Topics

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

ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS

(2011) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Self-organized aerial displays of thousands of starlings: a model

(2010) H. Hildenbrandt et al.   BEHAVIORAL ECOLOGY

Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

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

CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION

(2008) PIERRE DEGOND et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study

(2008) M. Ballerini et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA