3 papers
math-ph2026
A Hamiltonian approach to the CH-KP equation
R. Camassa, G. Falqui, E. Sforza
A model governing quasi-unidirectional wave propagation at the surface of a shallow layer of water is derived from Euler equations by long wave asymptotics together with Hamiltonia…
math-ph2026
Two-layer sharply stratified Euler fluids in three dimensions: a Hamiltonian setting
R. Camassa, G. Falqui, G. Ortenzi +2
Three-dimensional two-layer incompressible Euler fluids are studied from a Hamiltonian perspective. A natural Hamiltonian structure for the effective 2D model described by the inte…
math-ph2015
Two-layer interfacial flows beyond the Boussinesq approximation: a Hamiltonian approach
R. Camassa, G. Falqui, G. Ortenzi
The theory of integrable systems of Hamiltonian PDEs and their near-integrable deformations is used to study evolution equations resulting from vertical-averages of the Euler syste…