18 citations · 18 across the 1 of their papers we have counts for
3 papers
On the bifurcation diagram of the capillary-gravity Whitham equation
Mats Ehrnström, Mathew A. Johnson, Ola I. H. Maehlen +1
We study the bifurcation of periodic travelling waves of the capillary-gravity Whitham equation. This is a nonlinear pseudo-differential equation that combines the canonical shallo…
Isogeometric Methods for Free Boundary Problems
Monica Montardini, Filippo Remonato, Giancarlo Sangalli
We present in detail three different quasi-Newton isogeometric algorithms for the treatment of free boundary problems. Two algorithms are based on standard Galerkin formulations, w…
Numerical Bifurcation for the Capillary Whitham Equation
Filippo Remonato, Henrik Kalisch
The so-called Whitham equation arises in the modeling of free surface water waves, and combines a generic nonlinear quadratic term with the exact linear dispersion relation for gra…