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On the Geometry of Extended Self-Similar Solutions of the Airy Shallow Water Equations
Roberto Camassa, Gregorio Falqui, Giovanni Ortenzi +1
Self-similar solutions of the so called Airy equations, equivalent to the dispersionless nonlinear Schrödinger equation written in Madelung coordinates, are found and studied from…
Singularity formation as a wetting mechanism in a dispersionless water wave model
R. Camassa, G. Falqui, G. Ortenzi +2
The behavior of a class of solutions of the shallow water Airy system originating from initial data with discontinuous derivatives is considered. Initial data are obtained by splic…
Cluster formation and self-assembly in stratified fluids: a novel mechanism for particulate aggregation
Roberto Camassa, Daniel M. Harris, Robert Hunt +2
An extremely broad and important class of phenomena in nature involves the settling and aggregation of matter under gravitation in fluid systems. Some examples include: sedimenting…