PhD Student
(Ingénieur des Ponts, des Eaux et des Fôrets)



Inria Sophia Antipolis - Méditerranée
Université Côte d'Azur
Team:  ACUMES
Office:  Galois G37
Adress:  2004, route des Lucioles - BP 93
06902 Sophia Antipolis Cedex, FRANCE
Phone:  +33 (0)4 97 15 53 11
Email:  nicolas.laurent-brouty(at)inria.fr


Research Interests

  • Functional analysis of partial differential equations
  • Hyperbolic systems of conservation laws
  • Traffic flow theory
  • Hamilton-Jacobi equations
  • Numerical schemes
  • Optimization


  • Brief Curriculum Vitae

    Education

    2016 - present  Ph.D. in Applied Mathematics - Université Cote d'Azur (France)
                          Analysis of macroscopic traffic flow models for estimation and control of pollution
                          Advisor : Paola Goatin
                          partial differential equations, hyperbolic systems, balance laws, Hamiliton Jacobi equations, dynamic traffic assignment
    2015 - 2016    M.Sc., Systems Engineering - University of California, Berkeley (USA)
                          partial differential equations, hyperbolic systems, numerical schemes, machine learning
    2014 - 2015    M.Eng., Transportation Engineering - Ecole Nationale des Ponts et Chaussees (ENPC-France)
                          traffic engineering, optimization, control theory
    2011 - 2014    M.Sc., Mechanical Engineering - Ecole polytechnique (France)
                          applied mathematics, mechanical engineering, economics, physics

    Positions

    2016 - present    PhD student at Inria Sophia Antipolis - Méditerranée, ACUMES project team
                          Analysis of macroscopic traffic flow models for estimation and control of pollution
                           Advisor : Paola Goatin
    2015 - 2016      Researcher at Institute of Transportation Studies, UC Berkeley
                           Impact of navigation apps on traffic
                           Advisor : Alexandre M. Bayen                       
    2014 - 2015      Research intern at CERMICS, ENPC
                           A solution to the static and deterministic vehicle routing problem
                           Advisor : Axel Parmentier                       

    Publications

    Journal Papers

    [1]   Keimer, Laurent-Brouty,Farokhi, Signargout, Cvetkovic, Bayen, Johansson, Information Patterns in the Modeling and Design of Mobility Management Services, in Proceedings of the IEEE, vol. 106, no. 4, pp. 554-576, April 2018. (preprint).

    Preprints

    [1]   Goatin, Laurent-Brouty, The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model , To appear, 2018.

    Conference Proceedings

    [1]   Thai, Laurent-Brouty, Bayen (2016), Negative Externalities of GPS-Enabled Routing Applications: A Game Theoretical approach, IEEE, International Conference on Intelligent Transportation Systems, 2016, pp. 595–601.

    [2]   Laurent-Brouty, Costeseque, Goatin, A coupled PDE-ODE model for bounded acceleration in macroscopic traffic flow models, IFAC-PapersOnLine, Volume 51, Issue 9, 2018, pp. 37-42.

    Research reports

    [1]   Laurent-Brouty (2015), A solution to the static and deterministic vehicle routing problem.




    Main Talks

    [1]   Impact of GPS-enabled routing applications on traffic, INdAM Workshop: Transport Modeling and Management, VIII Workshop on the Mathematical Foundations of Traffic, Rome, 2017.

    [2]   The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model , CERMICS Seminar, ENPC, Paris, 2018.

    [3]   A coupled PDE-ODE model for bounded acceleration in macroscopic traffic flow models, 15th IFAC Symposium on CTS, Savona, 2018.

    [4]   The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model, XVII International Conference on Hyperbolic Problems, Theory, Numerics, Applications, Penn State Uiveristy, USA, 2018.

    Projects

    Member of: INRIA Associated Team ORESTE - Optimal REroute Strategies for Traffic managEment (2015-2017):
    Principal Investigators: Paola Goatin, Inria Sophia-Antipolis Méditerranée and Alexandre M. Bayen, UC Berkeley