I can do all things through Christ who strengthens me. (Philippians 4:13)
I'm a postdoc at the department of Mathematics at the University of Toronto (St. Georges Campus). My mentors are Catherine Sulem and Fabio Pusateri,
Between August 2022 and July 2023, I was AIMS-FIELDS postdoctoral fellow at the Fields Institute for Research in Mathematical Sciences.
I obtained my PhD from University of Bonn under the supervision of Prof. Dr. Herbert Koch. My thesis has to do with the analysis of nonlinear PDEs based on Carleson measures.
My research interests include: Partial Differential Equations, Fluid Dynamics, Harmonic Analysis. I study the well-posedness, regularity and long time dynamics/stability questions for nonlinear equations with a particular affinity for problems posed in low regularity regimes.
I can be reached via gaely "dot" diebou "at" utoronto "dot" ca. My office is located at Huron street 215, 10 th floor, number 1016.
Teaching
Fall 2023, MAT 292, Ordinary Differential Equations.
Publications and prepints
Existence and regularity of steady-state solutions of the Navier-Stokes equations arising from irregular data. Journal of Functional Analysis, 286(9), (2024), 110364 doi.org/10.1016/j.jfa.2024.110364
Well-posedness for chemotaxis-fluid models in arbitrary dimensions, Nonlinearity, 35, no. 12, (2022) 6241-6283. https://iopscience.iop.org/article/10.1088/1361-6544/ac98ec
Dirichlet problem for weakly harmonic maps with rough data (with H. Koch), Comm. PDE. 47, (2022) 1504-1535. https://www.tandfonline.com/doi/full/10.1080/03605302.2022.2056705
On the generalized parabolic Hardy-Hénon equation: Existence, blow-up, self-similarity and large-time asymptotic behavior, Differential and Integral Equations 35(1/2) (2022) 57–88. https://doi.org/10.57262/die035-0102-57
Nonlinear biharmonic equation in half-space with rough Neumann boundary data and potentials. Nonlinear Analysis, 215 (2022) 112623. https://www.sciencedirect.com/science/article/abs/pii/S0362546X21002327
On a nonlinear Laplace equation related to the boundary Yamabe problem in the upper-half-space. Comm. Pure Appl. Anal. 21(2) (2022) 517–539. https://doi.org/10.3934/cpaa.2021186
Invited Seminar and Conference talks
Jan 2024 -- Hamilton University, PDE/Analysis Seminar
Dec 2023 -- CMS Winter Meeting, Montreal
Nov 2023 -- Harmonic Analysis seminar, LSU (USA)
Jan 2023 -- Oberseminar Universität Mainz (Germ)
Mai 2022 -- Geometric Analysis Seminar, University of Pittsburgh (USA)
Mai 2022 -- AG Nichtlineare Partielle Differentialgleichungen (KIT)
Feb 2022 -- MPI Leipzig seminar
Apr 2022 -- Research School on mathematical advances in geophysical flows, Marseille
Dec 2022 -- Recent advances on nonlinear evolution equations, Winter meeting, Toronto
Oct 2021 -- Conference on Nonlinear Elliptic and Parabolic Partial Differential Equations (Levico Terme, Italy)
Sep 2021 -- Conference LUBOŠ 60, in Železná Ruda, Czech Republic
Apr 2021 -- International Prague seminar on function spaces, Charles University
Jul 2020 -- The Analysis & PDE summer seminar, University of Minnesota, USA
Apr 2020 -- Mathematical problems in fluid dynamics Program, Graduate seminar MSRI, Berkeley, USA
Services
I was Co-organiser of the Graduate seminar on Advanced topics in PDE at Bonn University during Summer Term 2022/2023
I was a Co-organiser of the Graduate seminar on Advanced topics in PDE at University of Bonn during Winter Term 2021/2022