Research Interest
My research uses mathematical and computational methods to study fluid dynamics. A key interest is Rayleigh-Bénard convection and buoyancy-driven systems. Another area is mixing and the related Kuramoto-Sivashinsky equation. Recent work focuses on singularity formation in Navier-Stokes and Euler equations.
Academic CV
| 2024- | Postdoctoral Fellow McMaster University Research group of Bartosz Protas |
| 2020-2024 | PhD Student University of Hamburg Thesis [Official, Arxiv] supervised by Camilla Nobili |
| 2018-2020 | Master Student University of Hamburg Thesis supervised by Camilla Nobili |
| 2012-2017 | Bachelor Student University of Würzburg Thesis supervised by Christian Klingenberg |
Publications
Fabian Bleitner, Camilla Nobili
Scaling laws for Rayleigh-Bénard convection between Navier-slip boundaries
Journal of Fluid Mechanics 998, A24 (2024) [Journal, Arxiv]
Scaling laws for Rayleigh-Bénard convection between Navier-slip boundaries
Journal of Fluid Mechanics 998, A24 (2024) [Journal, Arxiv]
Fabian Bleitner, Camilla Nobili
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries
Nonlinearity 37, 035017 (2024) [Journal, Arxiv]
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries
Nonlinearity 37, 035017 (2024) [Journal, Arxiv]
Fabian Bleitner, Elizabeth Carlson, Camilla Nobili
Large time behaviour of the 2D thermally non-diffusive Boussinesq equations with Navier-slip boundary conditions
Preprint (2024) [Arxiv]
Large time behaviour of the 2D thermally non-diffusive Boussinesq equations with Navier-slip boundary conditions
Preprint (2024) [Arxiv]
Fabian Bleitner, Camilla Nobili
Lower bounds for the advection-hyperdiffusion equation
Lecture Notes in Computational Science and Engineering 148, 1-19 (2023) [Journal, Arxiv]
Lower bounds for the advection-hyperdiffusion equation
Lecture Notes in Computational Science and Engineering 148, 1-19 (2023) [Journal, Arxiv]
Teaching
| Winter 2025 | Introduction to Analysis (Math 3IA3)
McMaster University |
| Fall 2024 | Engineering Mathematics (Math 1ZA3)
McMaster University |
| Spring 2024 | Optimization in Banach spaces
University of Hamburg |
| Fall 2023 | Analysis for Engineers III Hamburg University of Technology |
Conferences/Talks
Congress of Differential Equations and Applications/Congress of Applied Mathematics, 2024, Basque Center for Applied Mathematics, Bilbao, Spain
Workshop on Modeling, Simulation & Optimization of Fluid Dynamic Applications, 2024, University of Hamburg, Groß Schwansee, Germany
Dynamical Systems and Partial Differential Equations Seminar, 2024, University of Surrey, Guildford, United Kingdom
Enjoying Probability and Fluids in Lausanne, 2023, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
Workshop on Stability, Mixing and Fluid Dynamics, 2023, Westfälische Wilhelms-Universität, Münster, Germany
Stability and Dynamics in Fluid Mechanics and Kinetic Theory, 2023, Imperial College, London, United Kingdom
Applications of Dynamical Systems, 2023, Society for Industrial and Applied Mathematics, Portland, United States of America
Workshop on Modeling, Simulation & Optimization of Fluid Dynamic Applications, 2023, Christian-Albrechts-Universität zu Kiel, Groß Schwansee, Germany
Firedrake User and Developer Workshop, 2023, Imperial College London, Totnes, United Kingdom
Horizons in Nonlinear PDEs, Summer School, 2022, Ulm University, Ulm, Germany
Mathematical Advances in Geophysical Flows, Research School, 2022, Centre International de Rencontres Mathématiques, Marseille, France
Workshop on Modeling, Simulation & Optimization of Fluid Dynamic Applications, 2022, University of Hamburg, Groß Schwansee, Germany
Fluids under Control, 2021, Czech Academy of Sciences, Prague, Czech Republic
Gradient Flows and Variational Methods in PDEs, Winter School, 2019, Ulm University, Ulm, Germany