Differential inclusions in Wasserstein spaces: The Cauchy-Lipschitz framework

Optimal control of multiagent systems in the Wasserstein space

(2020) Chloé Jimenez et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Social Dynamics Models with Time-varying Influence

(2019) Sean McQuade et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Mean-field optimal control as Gamma-limit of finite agent controls

(2019) M. FORNASIER et al.   EUROPEAN JOURNAL OF APPLIED MATHEMATICS

Measure Differential Equations

(2019) Benedetto Piccoli   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

A uniqueness result for the decomposition of vector fields in \mathbb {R}^d R d

(2019) Stefano Bianchini et al.   INVENTIONES MATHEMATICAE

Instantaneous control of interacting particle systems in the mean-field limit

(2019) Martin Burger et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Minimal time for the continuity equation controlled by a localized perturbation of the velocity vector field

(2019) Michel Duprez et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Generalized dynamic programming principle and sparse mean-field control problems

(2019) Giulia Cavagnari et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Necessary optimality conditions for infinite dimensional state constrained control problems

(2018) H. Frankowska et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Mean-Field Pontryagin Maximum Principle

(2017) Mattia Bongini et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Generalized Control Systems in the Space of Probability Measures

(2017) Giulia Cavagnari et al.   Set-Valued and Variational Analysis

Optimal control of continuity equations

(2016) Nikolay Pogodaev   NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Existence and Uniqueness of Maximal Regular Flows for Non-smooth Vector Fields

(2015) Luigi Ambrosio et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

On the system of partial differential equations arising in mean field type control

(2015) Yves Achdou et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Mean-Field Optimal Control

(2014) Massimo Fornasier et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Mean-field sparse optimal control

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

Continuity equations and ODE flows with non-smooth velocity

(2014) Luigi Ambrosio et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Stability Analysis of Flock and Mill Rings for Second Order Models in Swarming

(2014) G. Albi et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

(2013) Luigi Ambrosio et al.   INVENTIONES MATHEMATICAE

On the dynamics of social conflicts: Looking for the black swan

(2013) Andrea Tosin et al.   Kinetic and Related Models

Transport Equation with Nonlocal Velocity in Wasserstein Spaces: Convergence of Numerical Schemes

(2012) Benedetto Piccoli et al.   ACTA APPLICANDAE MATHEMATICAE

Young measure, superposition and transport

(2008) Patrick Bernard   INDIANA UNIVERSITY MATHEMATICS JOURNAL

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