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Nathalie AYI
New web page at the following adress: After a postdoctoral position at Inria Rennes-Bretagne Atlantique in the IPSO team, I am currently a "Maitre de conférences" at the Pierre and Marie Curie university in the Jacques Louis Lions laboratory. I have defended my thesis entitled "Stochastic influence on change of scale problems" at the J.A. Dieudonné laboratory of the University of Nice Sophia-Antipolis, in the Inria COFFEE team, under the direction of Laure SAINT-RAYMOND and Florent BERTHELIN. The manuscript is available in the following link: Thesis Manuscript.
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Contact
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Former adress : IRMAR Campus de Beaulieu - Bâtiment 22/23 263 Avenue du Général Leclerc 35042 Rennes Cedex |
Current Mail :
nathalie.ayi [at] upmc [dot] fr |
Research Themes
- Partial differential equations, Stochastic partial differential equations
- Stochastic calculus
- Kinetic theory of gases
- (Deterministic and stochastic) scalar conservation law
- Change of scale, Hydrodynamical limit, Diffusive limit, Boltzmann-Grad limit
- Boltzmann equation, Discrete velocity modeles
- Interacting particles systems
- Asymptotic preserving schemes
Publications
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Published or Accepted Articles
- From Newton's law to the linear Boltzmann equation without cut-off, N. Ayi, Communications in Mathematical Physics, 350(3), 1219-1274.
- Regularity of velocity averages for transport equations on random discrete velocity grids, N. Ayi, T. Goudon, Analysis & PDE , 10, 1201–1225.
- Derivation of the linear Boltzmann equation without cut-off starting from particles , N. Ayi, CEDRAM, Journées équations aux dérivées partielles.
- Stochastic Discrete Velocity Averaging Lemmas and Rosseland Approximation , N. Ayi, CEDRAM, Séminaire Laurent Schwartz — EDP et applications.
- High-Field Limit from a Stochastic BGK Model to a Scalar Conservation Law with Stochastic Forcing, N. Ayi, submitted.
- Numerical Study of the diffusive limit of Uchiyama’s particles model, N. Ayi, E. Faou.
- Analysis of an asymptotic preserving scheme for stochastic linear kinetic equations in the diffusion limit, N. Ayi, E. Faou.
Seminar Acts
Submitted Article
Articles in preparation
Futur Conferences
- September 2017 : MAFRAN DAYS: Mathematical Frontiers in the Analysis of Many-particle Systems, Cambridge (United Kingdom).
- October 2017 : Dynamics in multi-component systems: mathematical and physical aspects, Lille.
Scientifique Popularization
- March 2017 : Conference for the week of Mathematics of the high school Charles Péguy, Orléans.
- March 2017 : Conference for the week of Mathematics of the high school Jean Zay, Orléans.
- March 2015 : Conference for the week of Mathematics of the high school Renée Goscinny, Drap.
Enseignements
2013 - 2016 - Undergraduate, Economics & Management - Mathematics 2: Fundamental analysis and integration (Teaching Assistant).
- Undergraduate, Sociology & Economics - Mathematics 1: Statistics (Teaching Assistant).
- Undergraduate, Mathematics, Analysis and Algebra (Teaching Assistant).