Publications

You can also find my publications on my Google Scholar profile. The preprint versions of these publications can also be found on my arXiv profile.

D. D. Holm, R. Hu, O. D. Street and H. Wang, 2025. Compound Burgers-KdV Soliton Behaviour: Refraction, Reflection and Fusion. Preprint. https://arxiv.org/abs/2505.17026
D. D. Holm, R. Hu and O. D. Street, 2025. A variational perspective on plasma dynamics in thin domains. Nonlinearity, 38.9, p. 095015. https://doi.org/10.1088/1361-6544/adffd8
R. Hu and L. Peng, 2025. Stochastic multisymplectic PDEs and their structure-preserving numerical methods. Studies in Applied Mathematics, 155.3, e70112. https://doi.org/10.1111/sapm.70112
T. Diamantakis and R. Hu, 2025. Lagrangian averaging of singular stochastic actions for fluid dynamics. Preprint. https://arxiv.org/abs/2504.10177
D. D. Holm, R. Hu and O. D. Street, 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
A. Dombret, D. D. Holm, R. Hu, O. D. Street and H. Wang, 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_5

D. D. Holm, R. Hu and O. D. Street, 2024. Deterministic and stochastic geometric mechanics for Hall magnetohydrodynamics. Proc. R. Soc. A.48020240267 http://doi.org/10.1098/rspa.2024.0267
T. Diamantakis and R. Hu, 2024. Variational closures for composite homogenised fluid flows. Preprint. https://arxiv.org/abs/2409.10408
D. D. Holm, R. Hu and O. D. Street, 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 13. Springer, Cham. https://doi.org/10.1007/978-3-031-40094-0_5

R. Hu, 2023. Stochastic Geometric Mechanics for Geophysical Fluid Dynamics and Wave-Current Interactions. PhD thesis, Imperial College London. https://doi.org/10.25560/109120
D. D. Holm, R. Hu and O. D. Street, 2023. Geometric Mechanics of the Vertical Slice Model. Geometric Mechanics 1 (02), 77-121. https://doi.org/10.1142/S2972458924500011
D. D. Holm, R. Hu and O. D. Street, 2023. Lagrangian reduction and wave mean flow interaction. Physica D: Nonlinear Phenomena, 133847. https://doi.org/10.1016/j.physd.2023.133847
D. D. Holm, R. Hu and O. D. Street, 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
R. Hu and S. Patching, 2023. Variational Stochastic Parameterisations and Their Applications to Primitive Equation Models. 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_9

D. D. Holm and R. Hu, 2022. Nonlinear dispersion in wave-current interaction. Journal of Geometric Mechanics 14 (4), 597-633. https://doi.org/10.3934/jgm.2022004

D. D. Holm and R. Hu, 2021. Stochastic effects of waves on currents in the ocean mixed layer. Journal of Mathematical Physics 62 (7), 073102. https://doi.org/10.1063/5.0045010