Research interests: Analysis of Partial Differential Equations, Fluid Mechanics
Supervisor: Professor Edriss S. Titi
Email address: dwb42@cam.ac.uk
Education and Career
Since 2021: PhD in the Mathematics of Information, University of Cambridge
2020-2021: MASt, Part III Mathematics, University of Cambridge
2017-2020: Double Bachelor's degree in Mathematics and Physics, University of Groningen
Publications
- D.W. Boutros, J.D. Gibbon: On the removal of the barotropic condition in helicity studies of the compressible Euler and ideal compressible MHD equations. Journal of Fluid Mechanics 1008, R3 (2025): arXiv:2501.17990. This work has been featured in the following Focus on Fluids Article: D.G. Dritschel, A further twist to helicity. Journal of Fluid Mechanics, 1010, F1 (2025).
- D.W. Boutros, E.S. Titi: On the conservation of helicity by weak solutions of the 3D Euler and inviscid MHD equations. arXiv:2410.00813
- D.W. Boutros, S. Markfelder, E.S. Titi: Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations. Journal of Nonlinear Science 34, 68 (2024): arXiv:2305.14505
- C. Bardos, D.W. Boutros, E.S. Titi: Hölder regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains. Archive for Rational Mechanics and Analysis 249, 28 (2025): arXiv:2304.01952
- D.W. Boutros, J.D. Gibbon: Phase transitions in the fractional three-dimensional Navier-Stokes equations. Nonlinearity 37, 4 (2024). arXiv:2303.07780
- D.W. Boutros, S. Markfelder, E.S. Titi: On Energy Conservation for the Hydrostatic Euler Equations: An Onsager Conjecture. Calculus of Variations and Partial Differential Equations 62, 219 (2023): arXiv:2208.08334
- D.W. Boutros, E.S. Titi: Onsager's Conjecture for Subgrid Scale α-Models of Turbulence. Physica D: Nonlinear Phenomena 443, 1–23 (2023): arXiv:2207.03416
Other Works
- D.W. Boutros: On Energy Conservation for the Hydrostatic Euler Equations: An Onsager Conjecture. Oberwolfach Report 51 (2022), pp. 23-25
Talks
- April 2025: Turbulence on the Banks of the Arno, Scuola Normale Superiore Pisa
- January 2025: Seminar in Analysis and Applications, TU Delft
- June 2024: Fractional Calculus Seminar Series, SISSA, International School of Advanced Studies (recording)
- March 2024: Nonlinear PDE and Mathematical Physics Seminar, Texas A&M University
- February 2024: Anti-diffusive dynamics programme seminar, Isaac Newton Institute Cambridge (recording, slides)
- February 2024: Oberseminar Mathematical Fluid Dynamics, University of Würzburg
- January 2024: Turbulence on the Banks of the Arno, Scuola Normale Superiore Pisa
- January 2024: Zürich Graduate Colloquium in Applied Mathematics, ETH Zürich
- December 2023: Online seminar for DFG Research Unit on Geophysical Flows
- December 2023: Oberseminar Mathematical Fluid Dynamics, University of Würzburg
- November 2023: Kick-off meeting of DFG Research Unit on Geophysical Flows, TU Darmstadt
- November 2023: Scaling Cascades in Complex Systems Days, Berlin
- October 2023: Recent Topics on the Navier-Stokes Equations, Oberwolfach
- December 2022: Junior Analysis Seminar, Imperial College London
- November 2022: CCIMI Conference, Isaac Newton Institute Cambridge (recording, slides)
- November 2022: Mathematical Advances in Geophysical Fluid Dynamics, Oberwolfach
- November 2022: Graduate seminar on Advanced topics in PDE, University of Bonn
- October 2022: Wolfson College Science Society
- July 2022: 2nd IST Austria Summer School in Analysis and PDEs, IST Austria
- June 2022: Junior Isaac Newton Crossover seminar, Isaac Newton Institute Cambridge (recording, slides)
- May 2022: Uncertainty Quantification : Recent Advances in the Mathematics of Information, Møller Institute, Churchill College, Cambridge (recording)
- May 2022: Nonlinear PDEs in Fluid Mechanics, CIRM Marseille Luminy (slides)
Poster Presentations
- April 2025: Kinetic Equations and Turbulence, Paris
- February 2025: New Challenges in Turbulence Research, Les Houches
- January 2024: Layering — A structure formation mechanism in oceans, atmospheres, active fluids and plasmas, Isaac Newton Institute Cambridge
- August 2022: Hausdorff School on Geometric Analysis and Nonlinear Partial Differential Equations, University of Bonn
- July 2022: When Kinetic Theory meets Fluid Mechanics, ETH Zürich
- May 2022: Advances in geophysical and astrophysical turbulence, Isaac Newton Institute Cambridge
- April 2022: Wolfson College Research Event
Teaching
- Michaelmas 2024: Example classes for Mathematical Analysis of the Incompressible Navier-Stokes Equations
- Michaelmas 2022: Supervisions for Part IB Linear Algebra and Drop-in Sessions for Analysis of Partial Differential Equations
- Easter 2022: Supervisions for Part II Analysis of Functions and Part IB Analysis and Topology
- Lent 2022: Supervisions for Part II Analysis of Functions
- Michaelmas 2021: Drop-in Sessions for Analysis of Partial Differential Equations and Distribution Theory and Applications