My works focus on shape and parametric optimization for reaction-diffusion equations. My main focus is the understanding of the influence of spatial heterogeneity on population dynamics. I mainly study existence theorems for non-linear shape optimization problems, or quantitative results regarding spectral optimization.
Education
- Internship (Sep 2019 – Dec 2019), DeustoTech, Bilbao
- PhD Student Laboratoire Jacques-Louis Lions, Paris-Sorbonne Université
- Master’s degree Paris Jussieu
- Bachelor’s Degree in Mathematics Ecole Normale Supérieure de Lyon
Talks
- Feb 2019 Homogenization in eigenvalue optimization for mathematical biology , Lab Seminar, Brescia, Italy
- Dec 2018 Shape optimization in mathematical biology, Journée Maths Bio, Dauphine Paris, France
- Dec 2018 Shape optimization in mathematical biology, Journée ANR Shapo, Grenoble, France
- Feb 2018 Optimization of the total population size, Lab Seminar, Compiègnes, France
- Feb 2018 Optimization in mathematical biology, ANR; Chambéry
- Dec 2017 Optimization of total population size, Conference in PDEs, Stockholm
Publications
Released
- I. Mazari Trait selection and rare mutations: The case of large diffusivities, Discrete & Continuous Dynamical Systems-B, 6693,6724,2019-7-19, DOI:10.3934
- I. Mazari, G. Nadin, Y. Privat Optimal location of resources maximizing the total population size in logistic models, Journal de mathématiques pures et appliquées, Elsevier, In press. ffhal-01607046v4ff
Submitted
- I. Mazari, D. Ruiz-Balet, E. Zuazua Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models
- I. Mazari, A quantitative inequality for the first Schrodinger eigenvalue in the ball (Hal link)