D.W. Boutros, S. Markfelder: Non-uniqueness of global-in-time admissible weak solutions to the isentropic compressible Euler equations for a dense set of initial data. arXiv:2606.14308

D.W. Boutros, S. Markfelder, E.S. Titi: A generalized framework for Lr convex integration and its application to geophysical models. arXiv:2606.12192

D.W. Boutros, X. Liu, M. Thomas, E.S. Titi: A mathematical study of an elastic-viscous-plastic sea-ice model with the Kelvin-Voigt rheology. arXiv:2604.26295

M. Bagnara, D.W. Boutros, C. De Lellis, S. Mayboroda: Regularity thresholds for anomalous dissipation and related phenomena in passive scalars. arXiv:2603.11466

D.W. Boutros, K.V. Kiran, J.D. Gibbon, R. Pandit: The global attractor of the Toner-Tu-Swift-Hohenberg equations of active turbulence and its properties. arXiv:2601.18233

C. Bardos, D.W. Boutros, E.S. Titi: On the absence of anomalous dissipation for the Navier-Stokes equations with Navier boundary conditions: a sufficient condition. Pure and Applied Functional Analysis (to appear): arXiv:2509.12432

D.W. Boutros, X. Liu, M. Thomas, E.S. Titi: Global well-posedness of the elastic-viscous-plastic sea-ice model with the inviscid Voigt-regularisation. Mathematical Models and Methods in Applied Sciences 36, 9, 1935-1965 (2026): arXiv:2505.03080

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. Physica D: Nonlinear Phenomena 481, 1-17 (2025): 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

D.W. Boutros: Mathematical analysis of the incompressible Euler equations and geophysical models of oceanic and sea-ice dynamics. PhD Thesis, University of Cambridge (2026). 

D.W. Boutros: Mathematical analysis of an inviscid Voigt regularisation of the elastic-viscous-plastic sea-ice model. Oberwolfach Report 24 (2025), pp. 30-31

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