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