Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Other publications

Kähler Geometry and the Navier-Stokes Equations

Abstract : We 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--Amp\ère type for the stream function, when the Laplacian of the pressure is known. In two dimensions a K\\ähler geometry is described, which is associated with the Monge--Amp\ère problem. This K\\ähler 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.
Complete list of metadata
Contributor : Secrétariat Math. Angers Connect in order to contact the contributor
Submitted on : Tuesday, January 31, 2006 - 2:01:50 PM
Last modification on : Friday, March 11, 2022 - 3:08:08 PM

Links full text




Ian Roulstone, Bertrand Banos, John D. Gibbon, Vladimir Roubtsov. Kähler Geometry and the Navier-Stokes Equations. 2005. ⟨hal-00009622⟩



Record views