Elisabetta Brocchieri
University Assistant - Postdoctoral researcher
About me
Since March 2023, I am a University Assistant - Postdoctoral researcher at the University of Graz in the Applied Analysis Group, led by Klemens Fellner.
I achieved my PhD in Applied Mathematics on February 2023, jointly with Université Paris-Saclay and Sapienza, Università di Roma, under the supervision of L. Corrias (Univ. Évry), L. Desvillettes (Univ. Paris Cité) and E. Montefusco (Sapienza, Univ. Roma).
A copy of my thesis can be found here.
My research interests focus on reaction cross-diffusion models arising from biology and ecology. I study these models from an analytical point of view by investigating the existence and regularity of solutions and the stability of the equilibria.
Research interests
Cross-diffusion systems;
Existence, uniqueness and regularity of solutions;
Rigorous derivation by fast reaction-diffusion systems;
Entropy, duality and fixed point methods;
Pattern formation: Turing instability;
Stability analysis of spatially heterogeneous equilibria.
03/2023 - present : University assistant - Postdoctoral researcher, Applied Analysis Group, University of Graz;
11/2019 - 02/2023 : International PhD in Applied Mathematics, jointly with Paris Saclay and Sapienza;
10/2017 - 10/2019 : Master in Mathematics (Sapienza, University of Rome);
09/2018 - 06/2019 : Erasmus grant (IMO, Paris Saclay, Orsay);
10/2014 - 07/2017: Bachelor in Mathematics (Sapienza, University of Rome);
11/1995: Born in Rome (Italy).
Upcoming events
Future events:
24-28.06.2024: Frontiers in Interacting Particle Systems, Aggregation-Diffusion Equations & Collective Behavior, CIRM Luminy, France.
01-05.07.2024: Mathematical Biology: Collective Behavior and Pattern Formation, CIRM Luminy, France.
23-26.07.2024: AMS-UMI Joint Meeting, MS: PDEs applications to nonlinear phenomena, Palermo, Italy.
23-27.09.2024: Complexity of Life 2024, Graz, Austria.
Organised event:
Publications
E. Brocchieri, L. Desvillettes, H. Dietert. Study of a class of triangular starvation driven cross-diffusion systems. 2024, hal-04585804 Preprint. Submitted.
E. Brocchieri. Evolutionary dynamics of populations structured by dietary diversity and starvation: cross-diffusion systems. 2023, PhD Thesis.
E. Brocchieri, L. Corrias, H. Dietert, Y.-J. Kim. Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit. 2021, J Math Biol.
In preparation
E. Brocchieri, L. Corrias, L. Desvillettes, H. Dietert. A class of triangular cross-diffusion systems and its fast reastion approximation: weak and strong solutions and weak-strong stability. In preparation.
E. Brocchieri, E. Montefusco. Non-homogeneous stationary problem for a class of Lotka-Volterra reaction-diffusion systems with cross-diffusion. In preparation.
Teaching
University of Graz
2023-2024, Summer semester. Modelling in natural science, lecture course. Master in Mathematics.
2023-2024, Summer semester. Modelling, exercise course. Bachelor in Mathematics.
2023-2024, Winter semester: Advanced Functional Analysis, exercise course. Master in Mathematics.
2023-2024, Winter semester: Differential equations, exercise course. Bachelor Lehramt.
Université d'Évry - Paris Saclay
2021-2022, Winter semester: Analyse Mathématique 3, exercise course. Bachelor in Économie et Gestion.
2020-2021, Winter semester: Analyse Mathématique 3, exercise course. Bachelor in Économie et Gestion.
2020-2021, Winter semester: Langage Mathématique, exercise course. Bachelor in Mathématiques et Informatique.
Contact
University of Graz
Department of Mathematics, Applied Analysis Group
Heinrichstraße 36, 8010 Graz,