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Overview

Filippo Santambrogio is affiliated with Claude Bernard University Lyon 1 in France. The primary areas of research focus on mathematics and computer science, with particular attention to applied mathematics, computational theory and mathematics, and mathematical physics. The body of work includes a strong presence in modeling and simulation as well as finance.

The main research topics covered throughout the career are:

  • Nonlinear Partial Differential Equations
  • Geometric Analysis and Curvature Flows
  • Advanced Mathematical Modeling in Engineering
  • Stochastic processes and financial applications
  • Mathematical Biology Tumor Growth
  • Numerical methods in inverse problems
  • Point processes and geometric inequalities

Recent published papers include:

  • "Metric methods for heteroclinic connections in infinite dimensional spaces," 2020, Indiana University Mathematics Journal
  • "A Cucker-Smale Inspired Deterministic Mean Field Game with Velocity Interactions," 2021, SIAM Journal on Control and Optimization
  • "Second order local minimal-time mean field games," 2022, Nonlinear Differential Equations and Applications NoDEA
  • "The flow map of the Fokker-Planck equation does not provide optimal transport," 2022, Applied Mathematics Letters
  • "JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: L^p and Sobolev bounds," 2022, Annales de l'Institut Henri Poincaré C Analyse Non Linéaire

Frequent co-authors associated with the research include:

  • Noemi David
  • Romain Ducasse
  • Guilherme Mazanti
  • Woojoo Shim
  • H. V. Khanh

Publication venues with repeated contributions are:

  • arXiv (Cornell University)
  • Nonlinear Differential Equations and Applications NoDEA
  • Applied Mathematics Letters
  • Annales de l'Institut Henri Poincaré C Analyse Non Linéaire
  • Journal de l'École polytechnique - Mathématiques

Filippo Santambrogio has authored books published by Springer Nature, including Mean Field Games (2020) and A Course in the Calculus of Variations (2023), which have been cited in related fields.

Best Publications

  • A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE

    Bertrand Maury;Aude Roudneff-Chupin;Filippo Santambrogio

  • { Euclidean, Metric, and Wasserstein } Gradient Flows: an overview

    Filippo Santambrogio

  • Handling congestion in crowd motion modeling

    Bertrand Maury;Aude Roudneff-Chupin;Filippo Santambrogio;Juliette Venel

  • Variational Mean Field Games

    Jean-David Benamou;Guillaume Carlier;Filippo Santambrogio

  • Optimal Transportation with Traffic Congestion and Wardrop Equilibria

    G. Carlier;C. Jimenez;F. Santambrogio

  • RETRACTED: Congested traffic dynamics, weak flows and very degenerate elliptic equations

    Lorenzo Brasco;Lorenzo Brasco;Guillaume Carlier;Guillaume Carlier;Filippo Santambrogio

  • First Order Mean Field Games with Density Constraints: Pressure Equals Price

    Pierre Cardaliaguet;Alpár Richárd Mészáros;Filippo Santambrogio

  • From Knothe's transport to Brenier's map and a continuation method for optimal transport

    Guillaume Carlier;Alfred Galichon;Filippo Santambrogio

  • A Model for the Optimal Planning of an Urban Area

    Giuseppe M. Buttazzo;Filippo Santambrogio

  • Absolute continuity and summability of transport densities: simpler proofs and new estimates

    Filippo Santambrogio

  • A Modica-Mortola Approximation for Branched Transport and Applications

    Edouard Oudet;Filippo Santambrogio

  • Optimal channel networks, landscape function and branched transport

    Filippo Santambrogio

  • Path Functionals over Wasserstein Spaces

    Alessio Brancolini;Giuseppe Buttazzo;Filippo Santambrogio

  • BV Estimates in Optimal Transportation and Applications

    Guido De Philippis;Alpár Richárd Mészáros;Filippo Santambrogio;Bozhidar Velichkov

  • Approximation of Length Minimization Problems Among Compact Connected Sets

    Matthieu Bonnivard;Antoine Lemenant;Filippo Santambrogio

  • Splitting Schemes and Segregation in Reaction Cross-Diffusion Systems

    José A. Carrillo;Simone Fagioli;Filippo Santambrogio;Markus Schmidtchen

  • A Mass Transportation Model for the Optimal Planning of an Urban Region

    Giuseppe Buttazzo;Filippo Santambrogio

  • Continuity in two dimensions for a very degenerate elliptic equation

    Filippo Santambrogio;Vincenzo Vespri

  • Mean Field Games: Cetraro, Italy 2019

    Yves Achdou;Pierre Cardaliaguet;François Delarue;Alessio Porretta

  • Splitting Schemes & Segregation In Reaction-(Cross-)Diffusion Systems

    José A. Carrillo;Simone Fagioli;Filippo Santambrogio;Markus Schmidtchen

Frequent Co-Authors

Guillaume Carlier
Guillaume Carlier Paris Dauphine University
Giuseppe Buttazzo
Giuseppe Buttazzo University of Pisa
Pierre Cardaliaguet
Pierre Cardaliaguet Paris Dauphine University
Anastasios Xepapadeas
Anastasios Xepapadeas Athens University of Economics and Business
Jean-Michel Morel
Jean-Michel Morel City University of Hong Kong
Gabriel Peyré
Gabriel Peyré École Normale Supérieure
Xu-Jia Wang
Xu-Jia Wang Westlake University
José A. Carrillo
José A. Carrillo University of Oxford
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Michael Hintermüller
Michael Hintermüller Weierstrass Institute for Applied Analysis and Stochastics

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