activity
19932024
most citedAn integrable shallow water equation with peaked solitons

3.7k citations · 3.9k across the 22 of their papers we have counts for

collaborators

23 papers

physics.flu-dyn2024

Diffusion-limited settling of highly porous particles in density-stratified fluids

Robert Hunt, Roberto Camassa, Richard M. McLaughlin +1

The vertical transport of solid material in a stratified medium is fundamental to a number of environmental applications, with implications for the carbon cycle and nutrient transp…

physics.flu-dyn2023★ 6 cited

Simple two-layer dispersive models in the Hamiltonian reduction formalism

R. Camassa, G. Falqui, G. Ortenzi +2

A Hamiltonian reduction approach is defined, studied, and finally used to derive asymptotic models of internal wave propagation in density stratified fluids in two-dimensional doma…

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…

physics.flu-dyn2022★ 5 cited

Critical density triplets for the arrestment of a sphere falling in a sharply stratified fluid

Roberto Camassa, Lingyun Ding, Richard M. McLaughlin +3

We study the motion of a rigid sphere falling in a two-layer stratified fluid under the action of gravity in the potential flow regime. Experiments at a moderate Reynolds number of…

math-ph2022

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…

physics.flu-dyn2021

Numerical Algorithms for Water Waves with Background Flow over Obstacles and Topography

David M. Ambrose, Roberto Camassa, Jeremy L. Marzuola +3

We present two accurate and efficient algorithms for solving the incompressible, irrotational Euler equations with a free surface in two dimensions with background flow over a peri…