I am interested in the mathematical modeling of physics relevant to ocean turbulence.
I am excited about many mathematical tools: stochastic methods, asymptotic analysis, and statistical inference. Numerically solving equations also plays an important part in my work.
“Remember kids, the only difference between screwing around and science is writing it down.” ― Adam Savage
5. Dù, R.S., Smith K.S., 2024. Emergent vorticity asymmetry of one and two-layer shallow water system captured by a next-order balanced model. In revision at Journal of Fluid Mechanics. [arXiv]
4. Dù, R.S., Smith K.S., Bühler, O., 2025. Next-order balanced model captures submesoscale physics and statistics. Journal of Physical Oceanography. [doi][arXiv]
3. Dù, R.S., Bühler, O., 2023. The Impact of Frequency Bandwidth on a One-Dimensional Model for Dispersive Wave Turbulence. Journal of Nonlinear Science 33, 81. [doi][pdf]
2. Du, R.S., Liu, L., Ng, S., Sambandam, S., Hernandez Adame, B., Perez, H., Ha, K., Falcon, C., de Rutte, J., Di Carlo, D., Bertozzi, A.L., 2021. Statistical energy minimization theory for systems of drop-carrier particles. Physical Review E 104, 015109. [doi][pdf]
1. Lindstrom, M.R., Du, R.S., Ng, X.Y., Diaz, D., Koulikova, M., Nero, M., Ross, H., Shukla, S., Bertozzi, A., Brantingham, P.J., 2019. Using local geographic features to predict changes in the Los Angeles homeless population. UCLA CAM Report 19-62. [ftp]
Balanced ocean submesoscale motions beyond geostrophy: mathematical modelling in the context of SWOT
at WHOI Physical Oceanography Seminar, August 2025 (invited)
Next-order in Rossby SQG+1 model for reconstructing velocity from sea surface height
at AGU Annual Meeting (AGU24), December 2024
Next-order balanced model for shallow water captures vorticity asymmetry
at AGU Annual Meeting (AGU24), December 2024
Next-order balanced model captures submesoscale physics and statistics,
at AGU Ocean Sciences Meeting (OSM24), February 2024
SQG+1 as a Model for Submesoscale Asymmetry,
at FilaChange 2022, August 2022 (funded by the conference travel grant).
Domain dependence of wave turbulence theory for the Majda-McLaughlin-Tabak (MMT) model,
at the 23rd Conference on Atmospheric and Oceanic Fluid Dynamics (AOFD23), June 2022;
and the 2022 Gordon Conference: Ocean Mixing, June 2022 (partially funded by the conference).
Presenting at Ocean Sciences meeting 2024
These are short notes that I think are useful to share but will not become articles.
Dù, R.S., 2023. Learning the Evolution of Statistical Moments and Extreme Values from Data. [pdf]
This note presents an easy way to diagnose the change in statistical moments and extremes from time-series data. It is simple to implement and versatile. We think it is most useful as a tool to quickly explore the time evolution of interesting quantities in data.
Dù, R.S., 2023. Plotting and Fitting Power-Laws. [pdf]
Data following power-laws are ubiquitous in applied fields. In this note, we examine how one should diagnose the power-law exponent from data and how one should plot these data. One of our conclusion is that: linear regression on the log-log form of the data is not always appropriate.