Publications

Much of my research activity is indexed on Google Scholar or ResearchGate. Preprint versions of most of my papers are available on arXiv, and the latest versions are available by following the links embedded in the following list.

2025

Holm, D. D., Hu, R., Street, O. D., 2025. Plasma dynamics in thin domains. Preprint. Under peer review. https://arxiv.org/abs/2501.19171

Holm, D. D., Hu, R., Street, O. D., 2025. Geometric Theory of Perturbation Dynamics Around Non-equilibrium Fluid Flows. In: Chapron, B. et al. (eds) Stochastic Transport in Upper Ocean Dynamics III. STUOD 2023. Mathematics of Planet Earth, vol 13. Springer, Cham. https://doi.org/10.1007/978-3-031-70660-8_5

Dombret, A., Holm, D. D., Hu, R., Street, O. D., & Wang, H., 2025. Collisions of Burgers Bores with Nonlinear Waves. In: Chapron, B. et al. (eds) Stochastic Transport in Upper Ocean Dynamics III. STUOD 2023. Mathematics of Planet Earth, vol 13. Springer, Cham. https://doi.org/10.1007/978-3-031-70660-8_2

2024

Holm, D. D., Hu, R., & Street, O. D., 2024. Deterministic and stochastic geometric mechanics for Hall magnetohydrodynamics. Proc. R. Soc. A. 480 20240267 https://doi.org/10.1098/rspa.2024.0267

Holm, D. D., Hu, R., & Street, O. D., 2024. Geometric Mechanics of the Vertical Slice Model. Geometric Mechanics. 1 (2), 77-121. https://doi.org/10.1142/S2972458924500011

Holm, D. D., Hu, R., & Street, O. D., 2024. On the Interactions Between Mean Flows and Inertial Gravity Waves in the WKB Approximation. In: Chapron, B. et al. (eds) Stochastic Transport in Upper Ocean Dynamics II. STUOD 2022. Mathematics of Planet Earth, vol 11. Springer, Cham. https://doi.org/10.1007/978-3-031-40094-0_5

2023

Street, O. D. & Takao, S., 2023. Semimartingale driven mechanics and reduction by symmetry for stochastic and dissipative dynamical systems. Preprint. Under peer review. https://arxiv.org/abs/2312.09769

Holm, D. D., Hu, R., & Street, O. D., 2023. Lagrangian reduction and wave mean flow interaction. Physica D: Nonlinear Phenomena. 454, 133847. https://doi.org/10.1016/j.physd.2023.133847

Street, O. D., 2023. A structure preserving stochastic perturbation of classical water wave theory. Physica D: Nonlinear Phenomena. 447, 133689. https://doi.org/10.1016/j.physd.2023.133689

Holm, D. D., Hu, R., & Street, O. D., 2023. Coupling of Waves to Sea Surface Currents Via Horizontal Density Gradients. In: Chapron, B. et al. (eds) Stochastic Transport in Upper Ocean Dynamics. STUOD 2021. Mathematics of Planet Earth, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-031-18988-3_8

2022

Street, O. D., 2022. Mathematical perspectives on waves and currents. PhD thesis, Imperial College London.

Crisan, D. & Street, O. D., 2022. On the analytical aspects of inertial particle motion. Journal of Mathematical Analysis and Applications. 516 (1). https://doi.org/10.1016/j.jmaa.2022.126467

2021

Crisan, D., Holm, D. D., & Street, O. D., 2021. Wave–current interaction on a free surface. Stud Appl Math. 147 (4), 1277-1338. https://doi.org/10.1111/sapm.12425

Street, O. D. & Crisan D., 2021. Semi-martingale driven variational principles. Proc. R. Soc. A. 477 20200957 http://doi.org/10.1098/rspa.2020.0957