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Stefano Francesco Burzio

stefano.burzio@epfl.ch +41 21 693 02 81

Expertise

Analysis and modeling of nonlinear phenomena occurring in mathematical physics. Hyperbolic partial differential equations. Finite element method.

Education

Mathematics

| Mathematics

2015 – 2020 EPFL
Directed by Joachim Krieger

MAS / Diplôme d'enseignement pour le degré secondaire 2

| Pedagogy

2019 – 2020 HEP Vaud

Master of Science

| Mathematics

2011 – 2014 University of Turin
Directed by Susanna Terracini

Bachelor of Science

| Mathematics

2009 – 2011 University of Turin
Directed by Luigi Rodino

2017

Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on $\R^{3+1}$

S. F. Burzio; J. Krieger

Memoirs of the AMS. 2022. DOI : 10.1090/memo/1369.

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On long time behavior of solutions to nonlinear dispersive equations

S. F. Burzio

Lausanne, EPFL, 2020. DOI : 10.5075/epfl-thesis-10002.

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Stability of slow blow-up solutions for the critical focussing nonlinear wave equation on  $\mathbb{R}^{3+1}$

S. F. Burzio

2020. Conference on Mathematics of Wave Phenomena 2018, Karlsruhe, Germany, July 23-28, 2018. p. 69–88. DOI : 10.1007/978-3-030-47174-3_5.

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Teaching & PhD

Courses

Discretization methods in fluids

ME-371

This course provides an introduction to the approximation methods used for numerical simulation in fluid mechanics. The fundamental concepts are presented in the context of the finite differences method and then extended to the finite and spectral element method.

Dynamic finite element analysis of structures

ME-473

The course focuses on the dynamic analysis of 3D structures using the finite element method in the context of linear elasticity. Students will gain proficiency in numerical techniques widely employed in static and dynamic structural analysis, and apply these methods to address real-world problems.

Finite element method

ME-372

In this course, the student gets acquainted with the theoretical aspects of the finite element method, the most commonly used computational technique for solving elliptic problems. He learns to apply the finite element method to simple test cases and to more complex problems faced in practice