100 citations · 342 across the 23 of their papers we have counts for
25 papers
Identification of wave breaking from nearshore wave-by-wave records
Karoline Holand, Henrik Kalisch, Maria Bjørnestad +7
Using data from a recent field campaign, we evaluate several breaking criteria with the goal of assessing the accuracy of these criteria in wave breaking detection. Two new criteri…
The superharmonic instability and wave breaking in Whitham equations
John D. Carter, Marc Francius, Christian Kharif +2
The Whitham equation is a model for the evolution of surface waves on shallow water that combines the unidirectional linear dispersion relation of the Euler equations with a weakly…
A novel energy-bounded Boussinesq model and a well balanced and stable numerical discretisation
Magnus Svärd, Henrik Kalisch
In this work, a novel Boussinesq system is put forward. The system is naturally nonlinearly entropy/energy-stable, and is designed for problems with sharply varying bathymetric fea…
Breather Solutions to the Cubic Whitham Equation
Henrik Kalisch, Miguel A. Alejo, Adán J. Corcho +1
We are concerned with numerical approximations of breather solutions for the cubic Whitham equation which arises as a water-wave model for interfacial waves. The model combines str…
The Cubic Vortical Whitham Equation
John D. Carter, Henrik Kalisch, Christian Kharif +1
The cubic-vortical Whitham equation is a model for wave motion on a vertically sheared current of constant vorticity in a shallow inviscid fluid. It generalizes the classical Whith…
A Nonlinear Formulation of Radiation Stress and Applications to Cnoidal Shoaling
Martin O. Paulsen, Henrik Kalisch
In this article we provide formulations of energy flux and radiation stress consistent with the scaling regime of the Korteweg-de Vries (KdV) equation. These quantities can be used…
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: Theory and numerical analysis
Samer Israwi, Henrik Kalisch, Theodoros Katsaounis +1
The simulation of long, nonlinear dispersive waves in bounded domains usually requires the use of slip-wall boundary conditions. Boussinesq systems appearing in the literature are…
Fully dispersive Boussinesq models with uneven bathymetry
John D. Carter, Evgueni Dinvay, Henrik Kalisch
Three weakly nonlinear but fully dispersive Whitham-Boussinesq systems for uneven bathymetry are studied. The derivation and discretization of one system is presented. The numerica…
The Whitham Equation with Surface Tension
Evgueni Dinvay, Daulet Moldabayev, Denys Dutykh +1
The viability of the Whitham equation as a nonlocal model for capillary-gravity waves at the surface of an inviscid incompressible fluid is under study. A nonlocal Hamiltonian syst…
A comparative study of bi-directional Whitham systems
Evgueni Dinvay, Denys Dutykh, Henrik Kalisch
In 1967, Whitham proposed a simplified surface water-wave model which combined the full linear dispersion relation of the full Euler equations with a weakly linear approximation. T…
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+\…
Shallow Water Dynamics on Linear Shear Flows and Plane Beaches
Maria Bjørnestad, Henrik Kalisch
Long waves in shallow water propagating over a background shear flow towards a sloping beach are being investigated. The classical shallow-water equations are extended to incorpora…
Numerical Study of Nonlinear Dispersive Wave Models with SpecTraVVave
Henrik Kalisch, Daulet Moldabayev, Olivier Verdier
In nonlinear dispersive evolution equations, the competing effects of nonlinearity and dispersion make a number of interesting phenomena possible. In the current work, the focus is…
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…
Convective Wave Breaking in the KdV Equation
Mats K. Brun, Henrik Kalisch
The KdV equation is a model equation for waves at the surface of an inviscid incompressible fluid, and it is well known that the equation describes the evolution of unidirectional…
Mechanical balance laws for fully nonlinear and weakly dispersive water waves
Henrik Kalisch, Zahra Khorsand, Dimitrios Mitsotakis
The Serre-Green-Naghdi system is a coupled, fully nonlinear system of dispersive evolution equations which approximates the full water wave problem. The system is an extension of t…
The Whitham Equation as a Model for Surface Water Waves
Daulet Moldabayev, Henrik Kalisch, Denys Dutykh
The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham e…
A Kinematic Conservation Law in Free Surface Flow
Sergey Gavrilyuk, Henrik Kalisch, Zahra Khorsand
The Green-Naghdi system is used to model highly nonlinear weakly dispersive waves propagating at the surface of a shallow layer of a perfect fluid. The system has three associated…
Global bifurcation for the Whitham equation
Mats Ehrnstrom, Henrik Kalisch
We prove the existence of a global bifurcation branch of -periodic, smooth, traveling-wave solutions of the Whitham equation. It is shown that any subset of solutions in the gl…
Boussinesq modeling of surface waves due to underwater landslides
Denys Dutykh, Henrik Kalisch
Consideration is given to the influence of an underwater landslide on waves at the surface of a shallow body of fluid. The equations of motion which govern the evolution of the bar…