3 papers
physics.flu-dyn2024
A Hamiltonian set-up for 4-layer density stratified Euler fluids
R. Camassa, G. Falqui, G. Ortenzi +2
By means of the Hamiltonian approach to two-dimensional wave motions in heterogeneous fluids proposed by Benjamin, we derive a natural Hamiltonian structure for ideal fluids, densi…
math.DS2023
Tauberian identities and the connection to Wile E. Coyote physics
Roberto Camassa, Richard M. McLaughlin
The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of…
math-ph2014
A connection between the shallow-water equations and the Euler-Poincaré equations
Roberto Camassa, Long Lee
The Euler-Poincaré differential (EPDiff) equations and the shallow water (SW) equations share similar wave characteristics. Using the Hamiltonian structure of the SW equations with…