Summary
I am a research associate in the Department of Mathematics within the Stochastic Transport in Upper Ocean Dynamics (STUOD) project. My main topics of interest are geometric mechanics, stochastic analysis, and the analysis of problems arising in fluid mechanics. My work involves working with a class of equations (either deterministic or stochastic) derived from the perspective of geometric mechanics, and my interest within this theme is divided between the methodology through which such equations are derived and the properties of the equations themselves.
Please refer to my personal webpage for further information.
publications
Holm, D. D., Hu, R., & Street, O. D., 2023. On the interactions between mean flows and inertial gravity waves. Preprint. Under peer review. https://arxiv.org/abs/2302.04838
Holm, D. D., Hu, R., & Street, O. D., 2023. Lagrangian reduction and wave mean flow interaction. Preprint. Under peer review. https://arxiv.org/abs/2301.04121
Street, O. D., 2022. A structure preserving stochastic perturbation of classical water wave theory. Preprint. Under peer review. https://arxiv.org/abs/2208.14813
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
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
Crisan, D., Holm, D. D., & Street, O. D., 2021. Wave–current interaction on a free surface. Stud Appl Math. 1– 62. https://doi.org/10.1111/sapm.12425
Street, O. D., & Crisan D., 2021. Semi-martingale driven variational principles. Proc. R. Soc. A.4772020095720200957 http://doi.org/10.1098/rspa.2020.0957