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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…