Large friction limit of pressureless Euler equations with nonlocal forces

Mean-Field Limits: From Particle Descriptions to Macroscopic Equations

(2021) José A. Carrillo et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Critical thresholds in one dimensional damped Euler-Poisson systems

(2020) Manas Bhatnagar et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces

(2020) José A. Carrillo et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Quantifying the Hydrodynamic Limit of Vlasov-Type Equations with Alignment and Nonlocal Forces

(2020) Jose A. Carrillo et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

On the Structure of Limiting Flocks in Hydrodynamic Euler Alignment Models

(2019) Trevor Leslie et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Mean-field limit for collective behavior models with sharp sensitivity regions

(2018) José Carrillo et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Convergence to Equilibrium in Wasserstein Distance for Damped Euler Equations with Interaction Forces

(2018) José A. Carrillo et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

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

(2018) Young-Pil Choi   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

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

(2018) Alessio Figalli et al.   Analysis & PDE

Weak solutions for Euler systems with non-local interactions

(2017) José A. Carrillo et al.   JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

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

From gas dynamics with large friction to gradient flows describing diffusion theories

(2016) Corrado Lattanzio et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

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

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

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

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

First-order aggregation models with alignment

(2016) Razvan C. Fetecau et al.   PHYSICA D-NONLINEAR PHENOMENA

First-order aggregation models and zero inertia limits

(2015) R.C. Fetecau et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Hydrodynamic limit of the kinetic Cucker–Smale flocking model

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

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

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

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

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

Relative Entropy in Diffusive Relaxation

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

From particle to kinetic and hydrodynamic descriptions of flocking

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

On Admissibility Criteria for Weak Solutions of the Euler Equations

(2008) Camillo de Lellis et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS