About

I am Yolhan Mannes, PhD in applied mathematics, specialized in the numerical simulation of models for blood circulation. I defended my thesis in applied mathematics on November 7, 2024 at the University of Toulon, under the co-supervision of Mehmet Ersoy (Professor at the University of Toulon) and Omer Eker (Professor at the University Claude Bernard Lyon 1 and neurosurgeon at the Hospices Civils de Lyon).

My research, carried out within the IMATH laboratory (Institut Mathématique de Toulon), focused on the derivation and mathematical and numerical analysis of reduced models for blood circulation in arteries, with a particular interest in the application of innovative numerical methods, in particular the Discontinuous Galerkin methods.

At the same time, I taught mathematics to undergraduate students and engineering schools, which allowed me to develop and enrich my teaching skills. This portfolio highlights my scientific contributions, my academic background and my teaching experience, illustrating my commitment to the interdisciplinarity between applied research and pedagogy.

Discover my CV, publications and research projects.

I have developed expertise in applied mathematics and blood flow simulation, specializing in arterial circulation models and the analysis of cardiovascular pathologies such as aneurysms and stenoses.

My knowledge of Navier-Stokes equations, asymptotic analysis and numerical simulation techniques allows me to study the impact of physical and geometric parameters on blood flow dynamics.

At the same time, I have also acquired expertise in machine learning for the integration of complex functions, and more broadly in the fields of artificial intelligence and data processing.

Curious and open to interdisciplinarity, my research work and the discussions held during my thesis allowed me to collaborate with Camille Poussel and Frédéric Golay in the development of Discontinuous Galerkin (DG) methods, thus enriching my skills and broadening my field of research.

Scientific expertise

My professional career

2021–2024: PhD researcher in Applied Mathematics, University of Toulon, IMATH

2021–2024: Visiting lecturer, University of Toulon, SeaTech engineering school of the University of Toulon

2020–2021: Master 2 internship in Mathematics, Specialization in Optimization and Mathematical Physics, UTLN, Analysis and construction of a model for blood flow, carried out under the supervision of Mehmet Ersoy from the IMATH laboratory

2019–2020: Master 1 internship in Mathematics, Specialization in Optimization and Mathematical Physics, UTLN, Two-dimensional model of SIR (Healthy-Infected-Recover) with diffusion, carried out under the supervision of Cédric Galusinski from the IMATH laboratory

Titles and diplomas

2021–2024: PhD in Applied Mathematics, University of Toulon, IMATH

2019–2021: Master of Research in Applied Mathematics, University of Toulon

2016–2019: Bachelor of Mathematics, University of Toulon

Contact me for any questions

Do not hesitate to contact me for collaborations or questions.