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Department of Applied Mathematics and Theoretical Physics

Research interests: 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

Other Works

  • D.W. Boutros: On Energy Conservation for the Hydrostatic Euler Equations: An Onsager ConjectureOberwolfach Report 51 (2022), pp. 23-25

Talks

  • 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

  • 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 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

Publications

Nonuniqueness of Generalised Weak Solutions to the Primitive and Prandtl Equations
DW Boutros, S Markfelder, ES Titi
– Journal of Nonlinear Science
(2024)
34,
68
Phase transitions in the fractional three-dimensional Navier–Stokes equations
DW Boutros, JD Gibbon
– Nonlinearity
(2024)
37,
045010
On energy conservation for the hydrostatic Euler equations: an Onsager conjecture
DW Boutros, S Markfelder, ES Titi
– Calculus of Variations and Partial Differential Equations
(2023)
62,
219
Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations
DW Boutros, S Markfelder, ES Titi
(2023)
Hölder regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains
C Bardos, DW Boutros, ES Titi
(2023)
Phase transitions in the fractional three-dimensional Navier-Stokes equations
DW Boutros, JD Gibbon
(2023)
Onsager's Conjecture for Subgrid Scale $α$-Models of Turbulence
DW Boutros, ES Titi
– Physica D: Nonlinear Phenomena
(2022)
443,
133553
On Energy Conservation for the Hydrostatic Euler Equations: An Onsager Conjecture
DW Boutros, S Markfelder, ES Titi
(2022)
Onsager's Conjecture for Subgrid Scale $α$-Models of Turbulence
DW Boutros, ES Titi
(2022)

Research Group

Mathematics of Information (Applied)

Room

F0.13

Telephone

01223 339877