On the pressureless damped Euler–Poisson equations with quadratic confinement: Critical thresholds and large-time behavior

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

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

Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D

(2015) Giovanni A. Bonaschi et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure

(2015) J.A. Carrillo et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D

(2015) Giovanni A. Bonaschi et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

First-order global asymptotics for confined particles with singular pair repulsion

(2014) Djalil Chafaï et al.   ANNALS OF APPLIED PROBABILITY

A Multiscale Meshfree Method for Macroscopic Approximations of Interacting Particle Systems

(2014) A. Klar et al.   MULTISCALE MODELING & SIMULATION

On the formation of shocks to the compressible Euler equations

(2013) Dongho Chae et al.   Communications in Mathematical Sciences

Critical thresholds in multi-dimensional Euler-Poisson equations with radial symmetry

(2013) Hantaek Bae et al.   Communications in Mathematical Sciences

Relative Entropy in Diffusive Relaxation

(2013) Corrado Lattanzio et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity

(2012) José A. Carrillo et al.   ADVANCES IN MATHEMATICS

Modeling of self-organized systems interacting with a few individuals: From microscopic to macroscopic dynamics

(2012) G. Albi et al.   APPLIED MATHEMATICS LETTERS

AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS

(2011) ANDREA L. BERTOZZI et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE

(2010) JOSÉ A. CARRILLO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

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

Mass transportation proofs of free functional inequalities, and free Poincaré inequalities

(2009) Michel Ledoux et al.   JOURNAL OF FUNCTIONAL ANALYSIS

On the global regularity of subcritical Euler–Poisson equations with pressure

(2009) Eitan Tadmor et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Double milling in self-propelled swarms from kinetic theory

(2009) José Carrillo et al.   Kinetic and Related Models