116 citations · 184 across the 6 of their papers we have counts for
6 papers
An exactly solvable model of wave-mean field interaction in integrable turbulence
T. Congy, G. A. El, M. A. Hoefer
The kinetic theory of soliton gases (SG) is used to develop a solvable model for wave-mean field interaction in integrable turbulence. The waves are stochastic soliton ensembles th…
Solitary wave-mean flow interaction in strongly nonlineardispersive shallow water waves
Thibault Congy, Gennady El, Sergey Gavrilyuk +2
The interaction of a solitary wave and a slowly varying mean background or flow for the Serre-Green-Naghdi (SGN) equations is studied using Whitham modulation theory. The exact for…
Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure
T. Congy, G. A. El, M. A. Hoefer +1
The nonlinear Schrödinger (NLS) equation and the Whitham modulation equations both describe slowly varying, locally periodic nonlinear wavetrains, albeit in differing amplitude-fre…
Stationary Expansion Shocks for a Regularized Boussinesq System
G. A. El, M. A. Hoefer, M. Shearer
Stationary expansion shocks have been recently identified as a new type of solution to hyperbolic conservation laws regularized by non-local dispersive terms that naturally arise i…
Dispersive and diffusive-dispersive shock waves for nonconvex conservation laws
G. A. El, M. A. Hoefer, M. Shearer
We consider two physically and mathematically distinct regularization mechanisms of scalar hyperbolic conservation laws. When the flux is convex, the combination of diffusion and d…
Interactions of large amplitude solitary waves in viscous fluid conduits
Nicholas K. Lowman, Mark A. Hoefer, Gennady A. El
The free interface separating an exterior, viscous fluid from an intrusive conduit of buoyant, less viscous fluid is known to support strongly nonlinear solitary waves due to a bal…