Samuel Charles
BSc (Warwick), MASt (Cambridge)
Pronouns
He / Him
Status
Postgraduate Student
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
- Jose A. Carrillo, Samuel R. Charles, Gui-Qiang G. Chen, and Difan Yuan. Nonlinear stability and instability of finite-energy solutions of the compressible Euler-Riesz equations with general pressure laws, Preprint, 2025.
- Jose A. Carrillo, Samuel R. Charles, Gui-Qiang G. Chen, and Difan Yuan. Global existence and nonlinear stability of finite-energy solutions of the compressible Euler-Riesz equations with large initial data of spherical symmetry, Preprint arXiv:2502.13094, 2025.
- Pride Duve, Samuel Charles, Justin Munyakazi, Renke Lühken, Peter Witbooi. A mathematical model for malaria disease dynamics with vaccination and infected immigrants. Mathematical Biosciences and Engineering, 2024, 21(1): 1082-1109. doi: 10.3934/mbe.2024045.
Teaching
- Lecturer at Magdalen college, University of Oxford (2024-2025)
- Lecturer at St Hilda's college, University of Oxford (2024-2025)
- TA for B4.4 Fourier Analysis (Hilary 2024)
- TA for B4.1 Functional Analysis I (Michaelmas 2022)
Research interests
My research interests lie in the analysis of nonlinear PDE, in particular, those from fluid dynamics. My current work focusses on the analysis of the compressible Euler equations and compressible Navier-Stokes equations.
Prizes, awards, and scholarships
- Jointly funded by the Mathematical Institute and the Sloane Robinson Foundation Graduate Scholarship (2022 - 2026)
- Titular Scholarship, Clare Hall College, University of Cambridge (2021)
- Warwick Departmental Award for Outstanding Academic Achievement (2020)