Postdoctoral Researcher / secondment position
(Chercheur post-doctoral en détachement)

Inria Sophia Antipolis - Méditerranée
Université Côte d'Azur
Office:  Galois G25
Adress:  2004, route des Lucioles - BP 93
06902 Sophia Antipolis Cedex, FRANCE
Phone:  +33 (0)4 92 38 76 25
Fax:  +33 (0)4 92 38 79 80
Email:  guillaume.costeseque(at)

Research Interests

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

  • Brief Curriculum Vitae


    2011 - 2014    Ph.D. in Applied Mathematics - Université Paris-Est (France)
                          Thesis: Contribution to road traffic flow modeling on networks thanks to Hamilton-Jacobi equations
                          Advisors : Régis Monneau (ICPEF) and Jean-Patrick Lebacque (IGPEF)
    2010 - 2011    M.Sc. in Civil Engineering - Université de Lyon (France)
                          Thesis: Modélisation du trafic routier : passage du microscopique au macroscopique
                          Advisors : Régis Monneau (ICPEF) and Jean-Patrick Lebacque (IGPEF)
    2008 - 2011    M.Eng. in Civil Engineering - Ecole Nationale des travaux Publics de l'Etat (ENTPE) (France)
                          (Corps des Travaux Publics de l'Etat)


    2014 - present    Postdoctoral Researcher at Inria Sophia Antipolis - Méditerranée,
                                OPALE and then ACUMES project-team

    2011 - 2014        Fellow of French Ministry of Ecology, Sustainable Development and Energy (MEDDE)
                                at Ecole des Ponts ParisTech and IFSTTAR, Marne la Vallée,
                                CERMICS and GRETTIA labs


  • first abertis Award for Transport Infrastructure Management in the Masters category, awarded by the abertis chair in France (MSc. thesis)
  • 1st International Abertis Prize for Research in the dissertation category, awarded by the abertis-UPC Chair and the chaire abertis-École des Ponts ParisTech-IFSTTAR

  • Résumé in English (pdf)


    You can look at my Google Scholar profile or on my Researchgate profile


    [1]   Tordeux, A., Costeseque, G., Herty, M., Seyfried, A., (2016). From traffic and pedestrian follow-the-leader models with reaction time to first order convection-diffusion flow models, submitted, 19 pages.

    [2]   Kolb, O., Costeseque, G., Goatin, G., Göttlich, S., (2017). Pareto-optimal coupling conditions for a second order traffic flow model at junctions, submitted, 20 pages.

    Journal Articles

    [1]   Costeseque, G., Lebacque, J.P., (2014). A variational formulation for higher order macroscopic traffic flow models: numerical investigation, Transportation Research part B: Methodological, 70, 112-133.

    [2]   Costeseque, G., Lebacque, J.P., (2014). Discussion about traffic junction modelling: conservation laws VS Hamilton-Jacobi equations, Discrete Cont. Dyn. Syst. S, 7 (3), 411-433.

    [3]   Costeseque, G., Lebacque, J.P., Monneau, R., (2015). A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic, Numerische Mathematik, 129 (3), 405-447.

    [4]   Laval, J. A., Costeseque, G., Chilukuri, B.R., (2016). The impact of source terms in the variational representation of traffic flow, Transportation Research part B: Methodological, 94, 204–216.

    Conference Proceedings

    [1]   Costeseque, G., Lebacque, J.P., (2012). Intersection modeling using a convergent scheme based on Hamilton-Jacobi equation, Proceedings of 15th EWGT, Social & Behavioral Sciences, Volume 54, 736-748.

    [2]   Costeseque, G., Lebacque, J.P., (2014). Multi-anticipative car-following behaviour: macroscopic modeling, Proceedings of the Traffic and Granular Flow'13 conference (TGF'13), Julich, Germany.

    [3]   Costeseque, G., Lebacque, J.P., Khelifi, A., (2015). Lagrangian GSOM traffic flow models on junctions, Proceedings of the 8th Vienna International Conference on Mathematical Modelling, Vienna, Austria.

    [4]   Costeseque, G., Duret, A., (2016). Mesoscopic multiclass traffic flow modeling on multi-lane sections, Proceedings of the Transportation Research Board 95th Annual Meeting (2016).

    [5]   Canepa, E.S., Costeseque, G., Claudel, C.G., (2016). A queue estimation method aware of bounded acceleration: application to arterials, Proceedings of the TRISTAN conference (2016).

    Book Chapters

    [1]   Costeseque, G., (2013). Modélisation et simulation dans le contexte du trafic routier, In F. Varenne et M. Silberstein Eds, Modéliser & simuler. Epistémologies et pratiques de la modélisation et de la simulation, Editions Matériologiques. (+)

    [2]   Costeseque, G., (2017). A Panorama on Macroscopic Hamiltonian Models, In J.P. Aubin et A. Désilles, Traffic Networks as Information Systems: A viability Approach. Springer-Verlag. (+)


    [1]   Costeseque, G., (2011). Modélisation du trafic routier : passage du microscopique au macroscopique, Master Thesis, ED MEGA, Université Lyon.

    [2]   Costeseque, G., (2014). Contribution to road traffic flow modeling on networks thanks to Hamilton-Jacobi equations, Ph.D. Thesis, ED MSTIC, Université ParisEst.

    Talks (and other stuff)



    Member of:
  • FP7 Network of Excellence Highly-complex and networked control systems (HYCON 2) (2010-2014)
    Principal Investigator: Françoise Lamnabhi-Lagarrigue, CNRS-Supélec.

  • ANR HJnet project - Hamilton-Jacobi equations on heterogeneous structures and networks (2012-2015)
    Principal Investigator: Olivier Ley, CNRS-INSA Rennes.

  • ANR VIATIC 2 - VIabilité et AuTonomie des systèmes en environnement Incertain et Contraint 2 (2014-2017)
    Principal Investigator: Remi Boutteau, ESIGELEC-IRSEEM Rouen.

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

  • SMAI BOUM project (2015-2016):
    Méthodes d'homogénéisation mathématique pour les modèles de trafic routier (summary)
    Principal Investigator.

  • ERC Proof of Concept Grant (2017-2018):
    TramOpt - A Traffic Management Optimization platform for enhanced road network efficiency
    Principal Investigator: Paola Goatin, Inria Sophia-Antipolis Méditerranée.

  • Media Coverage

  • Mais dis moi laitier, ton lait va tourner!,
    blog post on Mathématiques de la planète Terre, May 2013.

  • Radio interview broadcast on France Inter, August 2015.