"I introduce myself..."
I am a 3rd year PhD student at the "Amiens Laboratory of Fundamental and Applied Mathematics" (LAMFA) under the supervision of Alberto Farina (Professor at LAMFA).
I am a member of A3 team.
For the last 2 years, I've been organising the PhD's student seminar with Mickael Schoonheere and Marc Talleux, (fans be warned!).
My research topic is entitled "Qualitative properties and geometric aspects of solutions to nonlinear partial differential equations in unbounded domains".
My career path
- 2016/2018: MPSI et MP* at Lycée Louis Thuillier,
- 2018/2019: Licence 3 at l'UPJV,
- 2019/2020: Master 1 at l'UPJV,
- 2020/2021: Master 2 Aggregation preparation (Admitted, rang:284),
- 2021/2022: Master 2 Applied Analysis and Modelisation,
- 2022/... : Phd.
Mes research, articles
Thesis: Qualitative properties and geometric aspects of solutions to nonlinear partial differential equations in unbounded domains.
Supervisor: Alberto FARINA, Professor at LAMFA.
Key words: Qualitative properties and classification of solutions, Partial Differential Equations (PDE), Regularity, Infinite behavior.
Summary: The thesis project is devoted to study the qualitative properties and to the classification of the solutions to nonlinear partial differential equations of elliptic type on unbounded domains such as the entire Euclidean space, the half-space or, more generally, the epigraphs. For these types of domains, we plan to study the qualitative properties of positive or stable solutions (or of finite Morse index) and to demonstrate some results of classification and geometric rigidity (monotonicity, radial symmetry, one-dimensional symmetry ,...) as well as their regularity and their behavior at infinity. The analysis will be carried out using a recent approach which allows to obtain precise information on the geometry of the level sets of the considered solutions, as well as by the use of more classical tools such as the celebrated moving planes method due to James Serrin .
Articles:
Teaching
As part of my extended doctoral contract, I have done some teaching in the Science faculty of UPJV.
Year 2022/2023:
- L1 S1 -Calculus.
- L1 S1 -Matrices and computation.
- L3 S5 -Integrations and probabilities .
Year 2023/2024:
- L1 S1 -Matrices and computation.
- L3 S5 -Integrations and probabilities.
Year 2024/2025:
- L1 S1 -Matrices and computation.
- L3 S5 -Integrations and probabilities.
Conferences, Seminars,...
Seminars:
- (05/04/2023) PhD's student seminar at LAMFA: Qualitative properties of solutions to nonlinear elliptic partial differential equations.
- (11/10/2023) PhD's student seminar at LAMFA: Non-linear elliptic problems in unbounded domains.(slides)
- (09/10/2024) PhD's student seminar at LAMFA: Serrin's overdetermined problem in epigraphs.(slides)
Maths-Business Study Week (SEME in French):
I took part in the 2023 edition of the SEME which was held in Lille (Polytech). During this week, with 3 PhD student (Ivan Hasenohr, Chabane Meziane, Etienne Peillon), we looked at the subject proposed by the company DELABIE, on the characterisation of an air leak.
contact me:
- nicolas(dot)beuvin(at)u-picardie(dot)fr
- My office: BC010.
- Adress: Université Picardie Jules Verne, 33 rue Saint Leu, 80039 Amiens.