5 citations · 5 across the 4 of their papers we have counts for
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Monge-Ampere Geometry and the Eady Problem
Roberto D'Onofrio, Giovanni Ortenzi, Ian Roulstone
Chynoweth and Sewell proposed a mathematical model for an atmospheric front based on the singularities of the Legendre transformation between different pairs of dual variables. Dra…
A note on optimal transport and Monge-Ampère geometry
Roberto D'Onofrio
We identify a novel connection between a recently introduced pseudo-Riemannian framework for optimal mass transport and the geometry of Monge-Ampère equations. We show this corresp…
Solutions and Singularities of the Semigeostrophic Equations via the Geometry of Lagrangian Submanifolds
Roberto D'Onofrio, Giovanni Ortenzi, Ian Roulstone +1
Using Monge-Ampère geometry, we study the singular structure of a class of nonlinear Monge-Ampère equations in three dimensions, arising in geophysical fluid dynamics. We extend se…
Evolution of interface singularities in shallow water equations with variable bottom topography
R. Camassa, R. D'Onofrio, G. Falqui +2
Wave front propagation with non-trivial bottom topography is studied within the formalism of hyperbolic long wave models. Evolution of non-smooth initial data is examined, and in p…