K"ahler Geometry and the Navier-Stokes Equations

Simple item page
dc.creatorRoulstone, Ian
dc.creatorBanos, Bertrand
dc.creatorGibbon, John D.
dc.creatorRoubtsov, Vladimir
dc.date2005-09-09
dc.date.accessioned2026-07-07T05:36:38Z
dc.date.available2026-07-07T05:36:38Z
dc.descriptionWe study the Navier-Stokes and Euler equations of incompressible hydrodynamics in two and three spatial dimensions and show how the constraint of incompressiblility leads to equations of Monge--Ampère type for the stream function, when the Laplacian of the pressure is known. In two dimensions a Kähler geometry is described, which is associated with the Monge--Ampère problem. This Kähler structure is then generalised to `two-and-a-half dimensional' flows, of which Burgers' vortex is one example. In three dimensions, we show how a generalized Calabi--Yau structure emerges in a special case.
dc.descriptionLaTeX Roy.Soc style, 16 pages
dc.identifierhttps://arxiv.org/abs/nlin/0509023
dc.identifierhttp://arxiv.org/abs/nlin/0509023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/81058
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectFluid Dynamics
dc.titleK"ahler Geometry and the Navier-Stokes Equations
dc.typetext

Files

Collections

arXiv