Outputs (2)

Timestepping schemes for the 3d Navier-Stokes equations (2015)
Journal Article
Hong, Y., & Wirosoetisno, D. (2015). Timestepping schemes for the 3d Navier-Stokes equations. Applied Numerical Mathematics, 96, 153-164. https://doi.org/10.1016/j.apnum.2015.05.006

It is well known that the (exact) solutions of the 3d Navier–Stokes equations remain bounded for all time if the initial data and the forcing are sufficiently small relative to the viscosity. They also remain bounded for a finite time for arbitrary i... Read More about Timestepping schemes for the 3d Navier-Stokes equations.

Navier-Stokes equations on a rapidly rotating sphere (2015)
Journal Article
Wirosoetisno, D. (2015). Navier-Stokes equations on a rapidly rotating sphere. Discrete and Continuous Dynamical Systems - Series B, 20(4), 1251-1259. https://doi.org/10.3934/dcdsb.2015.20.1251

We extend our earlier β-plane results [al-Jaboori and Wirosoetisno, 2011, DCDS-B 16:687--701] to a rotating sphere. Specifically, we show that the solution of the Navier--Stokes equations on a sphere rotating with angular velocity 1/ϵ becomes zonal i... Read More about Navier-Stokes equations on a rapidly rotating sphere.