Nisrine Outada


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Titre du sujet de thèse : Complex systems in biology and soft sciences : Modeling by hyperbolic and kinetic equations, analytic and numerical problems.

Encadrants Sud :
- Pr. Mohamed Khaladi, Laboratoire de Mathématiques et Dynamiques des Populations, Université Cadi Ayyad, Faculté des Sciences Semlalia, Marrakech, Maroc.
- Pr. Nicola Bellomo, Politecnico Di Torino, Torino, Italie.

Encadrant Nord :
- Pr. Vauchelet Nicolas, Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, France.

Résumé du Sujet de thèse :

This thesis is devoted to theory and application of the kinetic theory of active particles, focusing in : Revising the theory to include the description of multiple interactions and Darwinian type mutations and selection ; Development of mathematical methods to derive hyperbolic models at the macroscopic scale from the underlying description at the microscopic scale ; Development of computational schemes towards simulations both of kinetic transport models and hyperbolic macroscopic models ; Applications to the modeling, qualitative analysis, and simulations of social systems with special attention to dynamics with mutations and selection.


[1] Outada N. Hyperbolic scaling and computing in social crowds : Comment on "Human behaviours in evacuation crowd dynamics : From modelling to "big data" toward crisis management" by Nicola Bellomo et al. Phys Life Rev (2016),

[2] Nisrine Outada, Nicolas Vauchelet, Thami Akrid, Mohamed Khaladi. From Kinetic Theory of Multicellular Systems to Hyperbolic Tissue Equations : Asymptotic Limits and Computing. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2017 .

[3] Diletta Burini, Livio Gibelli and Nisrine Outada, A Kinetic Theory Approach to the Modelling of Complex Living Systems, Chapter 6 ,Active Particles -Volume 1- Theory, Models, Applications, N. Bellomo, P. Degond, and E. Tadmor, Eds., Series "Modeling and Simulation in Science Engineering and Technology", Birkhauser-Springer, USA, (2017), in press.