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Navier–Stokes equations on the β-plane: Determining modes and nodes (2018)
Journal Article
Miyajima, N., & Wirosoetisno, D. (2019). Navier–Stokes equations on the β-plane: Determining modes and nodes. Physica D: Nonlinear Phenomena, 386-387, 31-37. https://doi.org/10.1016/j.physd.2018.08.005

We revisit the 2d Navier–Stokes equations on the periodic β-plane, with the Coriolis parameter varying asβy, and obtain bounds on the number of determining modes and nodes of the flow. The number of modesand nodes scale as c G1/20+ c′(M/β)1/2and c G2... Read More about Navier–Stokes equations on the β-plane: Determining modes and nodes.

Energy spectra and passive tracer cascades in turbulent flows (2018)
Journal Article
Jolly, M., & Wirosoetisno, D. (2018). Energy spectra and passive tracer cascades in turbulent flows. Journal of Mathematical Physics, 59(7), Article 073104. https://doi.org/10.1063/1.5046773

We study the influence of the energy spectrum on the extent of the cascade range of a passive tracer in turbulent flows. The interesting cases are when there are two different spectra over the potential range of the tracer cascade (in 2D when the tra... Read More about Energy spectra and passive tracer cascades in turbulent flows.