100 citations · 342 across the 23 of their papers we have counts for
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Approximate Conservation Laws in the KdV Equation
Samer Israwi, Henrik Kalisch
The Korteweg-de Vries equation is known to yield a valid description of surface waves for waves of small amplitude and large wavelength. The equation features a number of conserved…
Particle trajectories in nonlinear Schrodinger models
John D. Carter, Christopher W. Curtis, Henrik Kalisch
The nonlinear Schrodinger equation is well known as a universal equation in the study of wave motion. In the context of wave motion at the free surface of an incompressible fluid,…
A Mathematical Justification of the Momentum Density Function Associated to the KdV Equation
Samer Israwi, Henrik Kalisch
Consideration is given to the KdV equation as an approximate model for long waves of small amplitude at the free surface of an inviscid fluid. It is shown that there is an approxim…
On the local well-posedness for a full dispersion Boussinesq system with surface tension
Henrik Kalisch, Didier Pilod
In this note, we prove local-in-time well-posedness for a fully dispersive Boussinesq system arising in the context of free surface water waves in two and three spatial dimensions.…
Existence and Uniqueness of Singular Solutions for a Conservation Law Arising in Magnetohydrodynamics
Henrik Kalisch, Darko Mitrovic, Vincent Teyekpiti
The Brio system is a two-by-two system of conservation laws arising as a simplified model in ideal magnetohydrodynamics (MHD). The system has the form \begin{align*} \partial_t u+\…