Weak solutions for Euler systems with non-local interactions

Relative Energy for the Korteweg Theory and Related Hamiltonian Flows in Gas Dynamics

(2016) Jan Giesselmann et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Regularity of Local Minimizers of the Interaction Energy Via Obstacle Problems

(2016) J. A. Carrillo et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

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

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

On the weak solutions to the equations of a compressible heat conducting gas

(2015) Elisabetta Chiodaroli et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

On weak solutions to the 2D Savage–Hutter model of the motion of a gravity-driven avalanche flow

(2015) Eduard Feireisl et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Hydrodynamic limit of the kinetic Cucker–Smale flocking model

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

Weak-strong uniqueness for measure-valued solutions of some compressible fluid models

(2015) Piotr Gwiazda et al.   NONLINEARITY

Well/Ill Posedness for the Euler-Korteweg-Poisson System and Related Problems

(2014) Donatella Donatelli et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Explicit flock solutions for Quasi-Morse potentials

(2014) J. A. CARRILLO et al.   EUROPEAN JOURNAL OF APPLIED MATHEMATICS

A counterexample to well-posedness of entropy solutions to the compressible Euler system

(2014) Elisabetta Chiodaroli   Journal of Hyperbolic Differential Equations

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

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

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

Weak–Strong Uniqueness of Dissipative Measure-Valued Solutions for Polyconvex Elastodynamics

(2012) Sophia Demoulini et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Relative Entropies, Suitable Weak Solutions, and Weak-Strong Uniqueness for the Compressible Navier–Stokes System

(2012) Eduard Feireisl et al.   Journal of Mathematical Fluid Mechanics

Equilibria of biological aggregations with nonlocal repulsive–attractive interactions

(2012) R.C. Fetecau et al.   PHYSICA D-NONLINEAR PHENOMENA

Weak-Strong Uniqueness for Measure-Valued Solutions

(2011) Yann Brenier et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

From particle to kinetic and hydrodynamic descriptions of flocking

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

Analysis and simulations of a refined flocking and swarming model of Cucker-Smale type

(2011) Martial Agueh et al.   Kinetic and Related Models

Swarm dynamics and equilibria for a nonlocal aggregation model

(2011) R C Fetecau et al.   NONLINEARITY

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

Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

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

Double milling in self-propelled swarms from kinetic theory

(2009) José Carrillo 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