24 citations · 51 across the 7 of their papers we have counts for
7 papers
Monge-Ampère Structures and the Geometry of Incompressible Flows
Bertrand Banos, Vladimir Roubtsov, Ian Roulstone
We show how a symmetry reduction of the equations for incompressible hydrodynamics in three dimensions leads naturally to a Monge-Ampère structure, and Burgers'-type vortices are a…
Complex solutions of Monge-Ampère equations
Bertrand Banos
We describe a method to reduce partial differential equations of Monge-Ampère type in 4 variables to complex partial differential equations in 2 variables. To illustrate this metho…
Integrable geometries and Monge-Ampere equations
Bertrand Banos
In this lecture delivered at the Integrable and Quantum Field Theory at Peyresq sixth meeting, we review the Lychagin's Monge-Ampere operators theory and exhibit the link it establ…
Monge-Ampere equations and generalized complex geometry. The two-dimensional case
Bertrand Banos
We associate an integrable generalized complex structure to each 2-dimensional symplectic Monge-Ampère equation of divergent type and, using the Gualtieri operator…
K"ahler Geometry and the Navier-Stokes Equations
Ian Roulstone, Bertrand Banos, John D. Gibbon +1
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 equati…
Potentials for hyper-Kahler metrics with torsion
Bertrand Banos, Andrew Swann
We prove that locally any hyper-Kähler metric with torsion admits an HKT potential.