# Henrik Kalisch

Professor
• E-mailHenrik.Kalisch@uib.no
• Phone+47 55 58 48 74
• Visitor Address
Allégaten 41
Realfagbygget
5007 Bergen
• Postal Address
Postboks 7803
5020 Bergen

Henrik Kalisch is Professor of Applied Mathematics. He received his Ph.D. in 2001 from the University of Texas at Austin. His research is centered on the mathematical modeling of nearshore processes such as wave breaking, surfzone circulation and wave hazards in the coastal zone.  He has co-authored more than one hundred scientific publications in fluid mechanics, partial differential equations, numerical analysis and scientific computation. He is currently Deputy Head of the Department and co-editor-in-chief for “Water Waves: An interdisciplinary journal”, published by Birkhäuser-Springer-Nature.

Recent papers:

Current research group (more info here):

Volker Roeber, Adjunct researcher

Francesco Lagona, Adjunct professor

Maria Bjørnestad, Research Assistant

Enrique Martinez, PhD student (joint with Magnus Svärd)

Olufemi Ige, PhD student

Anders Norevik, PhD student

Sara Mundal Aase, Master student

Tolga Bilge, Master student,

Kaja Elgåen, Master Student

Andreas Jacobsen, Master student

Kristoffer Johnsen, Master student,

Marius Nevland, Master student

Bo Schleisner, Master student

Henrik Kalisch has been responsible for developing and teaching a large variety of courses in applied mathematics, fluid mechanics and numerics at the undergraduate and graduate level. He was chair of the curriculum committee (programstyret) from 2013-2017.

Current Ph.D. students: Enrique Martinez, Olufemi Ige, Anders Norevik.

Current Masters students: Sara Mundal Aase, Tolga Bilge, Kaja Elgåen, Andreas Jacobsen, Kristoffer Johnsen, Marius Nevland, Bo Schleisner.

Graduated Ph.D. students:

• Maria Bjørnestad (2021), placement: HPC-Waves, Université de Pau, Anglet, France
• Evgueni Dinvay (2019), placement: INRIA Rennes, France
• Vincent Teyekpiti (2018), placement: University of Ghana
• Zahra Khorsand (2017), placement: Baking artist, online influencer
• Daulet Moldabayev (2017), placement: Oceaneering Inc. Trondheim, Norway
• Amutha Senthilkumar (2017), placement: CapGemini Norge AS
• Alfatih Ali (2012), placement: Norwegian Meteorological Institute
• Magnar Bjørkavåg(2012), placement: St. Olav VGS
• Nguyet Ngyuen, (2010), placement: HR Block, Indianapolis, USA

Graduated Master’s students: Hege Frøysa (2021), Stevie Cervantes (2020), Martin Oen Paulsen (2020), Lisbeth Engell-Sorensen(2019), Sondre Hatland Dahle (2019), Anders Norevik (2019), Dipti Acharya (2018), KristerTrandal (2017), Maria Bjørnestad (2017), Olav Skjølingstad (2016), Mats Brun (2015), Bjørn-Sverre Juliussen (2014), Vincent Teyekpiti (2013), Zahra Khorsand (2012), Amutha Senthilkumar(2012), Erik Eikeland (2010), Lalaniaina Rabenorolahy (2008), Jan Ole Skogestad (2007), MagnarBjørkavåg (2006).

Academic article
• Show author(s) (2022). The cubic vortical Whitham equation. Wave motion.
• Show author(s) (2022). A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis. Nonlinearity. 750-786.
• Show author(s) (2021). Wave Breaking in Undular Bores with Shear Flows. Water Waves. 473-490.
• Show author(s) (2021). Lagrangian Measurements of Orbital Velocities in the Surf Zone. Geophysical Research Letters. 1-9.
• Show author(s) (2021). Fully dispersive Boussinesq models with uneven bathymetry. Journal of Engineering Mathematics.
• Show author(s) (2021). A mathematical justification of the momentum density function associated to the KdV equation. Comptes rendus. Mathematique. 39-45.
• Show author(s) (2021). A Nonlinear Formulation of Radiation Stress and Applications to Cnoidal Shoaling. Water Waves.
• Show author(s) (2020). Particle Trajectories in Nonlinear Schrödinger Models. Water Waves.
• Show author(s) (2020). Extreme wave runup on a steep coastal profile. AIP Advances. 105205-1-105205-7.
• Show author(s) (2020). Admissibility conditions for Riemann data in shallow water theory. Zeitschrift fur Naturforschung A-A Journal of Physical Sciences. 637-648.
• Show author(s) (2019). Wave breaking in undular bores generated by a moving weir. Physics of Fluids. 1-8.
• Show author(s) (2019). Wave breaking in the KdV equation on a flow with constant vorticity. European journal of mechanics. B, Fluids. 48-54.
• Show author(s) (2019). The Whitham equation for hydroelastic waves. Applied Ocean Research. 202-210.
• Show author(s) (2019). Stability of periodic progressive gravity wave solutions of the Whitham equation in the presence of vorticity. Physics Letters A.
• Show author(s) (2019). On the local well-posedness for a full-dispersion boussinesq system with surface tension. Proceedings of the American Mathematical Society. 2545-2559.
• Show author(s) (2019). Long wave dynamics for a liquid CO2 lake in the deep ocean. Applied Numerical Mathematics. 1-14.
• Show author(s) (2019). Laboratory experiments on internal solitary waves in ice-covered waters. Geophysical Research Letters. 12230-12238.
• Show author(s) (2019). Internal flow properties in a capillary bore . Physics of Fluids. 113602-1-113602-10.
• Show author(s) (2019). Interaction of a free surface with a vortex patch. Wave motion. 32-50.
• Show author(s) (2019). Fully dispersive models for moving loads on ice sheets. Journal of Fluid Mechanics. 122-149.
• Show author(s) (2018). Particle paths in nonlinear Schrodinger models in the presence of linear shear currents. Journal of Fluid Mechanics. 322-350.
• Show author(s) (2018). Hydraulic jumps on shear flows with constant vorticity. European journal of mechanics. B, Fluids. 594-600.
• Show author(s) (2018). Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics. Nonlinearity. 5463-5483.
• Show author(s) (2018). Convective wave breaking in the KdV equation. Analysis and Mathematical Physics. 57-75.
• Show author(s) (2018). A shallow-water system with vanishing buoyancy. Applicable Analysis.
• Show author(s) (2018). A comparative study of bi-directional Whitham systems. Applied Numerical Mathematics. 1-15.
• Show author(s) (2017). Vortex dynamics in nonlinear free surface flows. Physics of Fluids. 1-16.
• Show author(s) (2017). The Whitham equation with surface tension. Nonlinear dynamics. 1125-1138.
• Show author(s) (2017). Shallow water dynamics on linear shear flows and plane beaches. Physics of Fluids.
• Show author(s) (2017). On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation. Nonlinear Analysis: Real world applications. 35-48.
• Show author(s) (2017). Numerical bifurcation for the capillary Whitham equation. Physica D : Non-linear phenomena. 51-62.
• Show author(s) (2017). Explicit solutions for a long-wave model with constant vorticity. European journal of mechanics. B, Fluids. 247-256.
• Show author(s) (2017). Delta shock waves in shallow water flow. Physics Letters A. 1138-1144.
• Show author(s) (2017). Approximate conservation laws for an integrable boussinesq system. Mathematical Modelling of Natural Phenomena. 1-14.
• Show author(s) (2017). A numerical study of nonlinear dispersive wave models with spectravvave. Electronic Journal of Differential Equations. 1-23.
• Show author(s) (2016). Rayleigh–Taylor instability of immiscible fluids in porous media. Continuum Mechanics and Thermodynamics. 721-731.
• Show author(s) (2016). PDE Based Algorithms for Smooth Watersheds. IEEE Transactions on Medical Imaging. 957-966.
• Show author(s) (2016). Mechanical balance laws for fully nonlinear and weakly dispersive water waves. Physica D : Non-linear phenomena. 243-253.
• Show author(s) (2016). A numerical study of the Whitham equation as a model for steady surface water waves. Journal of Computational and Applied Mathematics. 293-302.
• Show author(s) (2015). The Whitham Equation as a model for surface water waves. Physica D : Non-linear phenomena. 99-107.
• Show author(s) (2015). Non-standard shocks in the Buckley-Leverett equation. Journal of Mathematical Analysis and Applications. 882-895.
• Show author(s) (2015). Mechanical balance laws in long wave models. Oberwolfach Reports. 28-31.
• Show author(s) (2015). A kinematic conservation law in free surface flow. Nonlinearity. 1805-1821.
• Show author(s) (2014). Stability of traveling wave solutions to the Whitham equation. Physics Letters A. 2100-2107.
• Show author(s) (2014). On the formulation of mass, momentum and energy conservation in the KdV equation. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications. 113-131.
• Show author(s) (2014). Dynamics of the interface between immiscible liquids of different densities with low Froude number. Nonlinear Analysis: Real world applications. 361-366.
• Show author(s) (2014). Convective mixing influenced by the capillary transition zone. Computational Geosciences. 417-431.
• Show author(s) (2013). Solitary wave collisions in the regularized long wave equation. Electronic Journal of Differential Equations. 1-13.
• Show author(s) (2013). Reconstruction of the pressure in long-wave models with constant vorticity. European journal of mechanics. B, Fluids. 187-194.
• Show author(s) (2013). Global bifurcation for the Whitham equation. Mathematical Modelling of Natural Phenomena. 13-30.
• Show author(s) (2013). Derivation of Boussinesq's shoaling law using a coupled BBM system. Nonlinear processes in geophysics. 213-219.
• Show author(s) (2013). Boussinesq modeling of surface waves due to underwater landslides. Nonlinear processes in geophysics. 267-285.
• Show author(s) (2012). Singular solutions of a fully nonlinear 2 × 2 system of conservation laws. Proceedings of the Edinburgh Mathematical Society. 711-729.
• Show author(s) (2012). Singular solutions for the shallow-water equations. IMA Journal of Applied Mathematics. 340-350.
• Show author(s) (2012). Particle dynamics in the KdV approximation. Wave motion. 691-709.
• Show author(s) (2012). Nonexistence of coherent structures in two-dimensional inviscid channel flow. Mathematical Modelling of Natural Phenomena. 77-82.
• Show author(s) (2012). Mechanical balance laws for boussinesq models of surface water waves. Journal of nonlinear science. 371-398.
• Show author(s) (2012). Effects of a capillary transition zone on the stability of a diffusive boundary layer. IMA Journal of Applied Mathematics. 771-787.
• Show author(s) (2012). A dispersive model for undular bores. Analysis and Mathematical Physics. 347-366.
• Show author(s) (2011). Wave breaking in Boussinesq models for undular bores. Physics Letters A. 1570-1578.
• Show author(s) (2010). Radius of analyticity and exponential convergence for spectral projections of the generalized KdV equation. Communications in nonlinear science & numerical simulation. 869-880.
• Show author(s) (2010). On the stability of internal waves. Journal of Physics A: Mathematical and Theoretical. 495205.
• Show author(s) (2010). Energy budget in a dispersive model for undular bores. Proceedings of the Estonian Academy of Sciences : Physics, Mathematics. 172-181.
• Show author(s) (2010). Energy balance for undular bores. Comptes rendus. Mecanique. 67-70.
• Show author(s) (2010). A KdV-type Boussinesq system: From the energy level to analytic spaces. Discrete and Continuous Dynamical Systems. Series A. 1121-1139.
• Show author(s) (2009). Traveling waves for the Whitham equation. Differential and Integral Equations. 1193-1210.
• Show author(s) (2009). Traveling waves for the Whitham equation. Differential and Integral Equations. 1193-1210.
• Show author(s) (2009). Stability of negative solitary waves. Electronic Journal of Differential Equations. 1-20.
• Show author(s) (2009). Orbital stability of negative solitary waves. Mathematics and Computers in Simulation. 139-150.
• Show author(s) (2009). Gevrey regularity for a class of water-wave models. Nonlinear Analysis. 1160-1170.
• Show author(s) (2009). A boundary value problem for the KdV equation: Comparison of finite-difference and Chebyshev methods. Mathematics and Computers in Simulation. 151-163.
• Show author(s) (2009). A bound on oscillations in an unsteady undular bore. Applicable Analysis. 1701-1712.
• Show author(s) (2007). On the rate of convergence of a collocation projection of the KdV equation. Mathematical Modelling and Numerical Analysis. 95-110.
• Show author(s) (2007). Exponential convergence of a spectral projection of the KdV equation. Physics Letters A. 278-283.
• Show author(s) (2007). Derivation and comparison of model equations for interfacial capillary-gravity waves in deep water. Mathematics and Computers in Simulation. 168-178.
• Show author(s) (2006). Solitary Waves of Depression. Journal of Computational Analysis And Applications. 5-24.
• Show author(s) (2006). Global Solutions of the Derivative Schrödinger Equation in a Class of Functions Analytic in a Strip. Journal of Differential Equations. 186-203.
• Show author(s) (2006). Convergence of a spectral projection of the Camassa-Holm equation. Numerical Methods for Partial Differential Equations. 1197-1215.
• Show author(s) (2006). Convergence of a Spectral Projection of the Camassa-Holm Equation. Numerical Methods for Partial Differential Equations. 1197-1215.
• Show author(s) (2005). Rapid convergence of a Galerkin projection of the KdV equation. Comptes rendus. Mathematique. 457-460.
• Show author(s) (2005). Numerical study of traveling-wave solutions for the Camassa-Holm equation. Chaos, Solitons & Fractals.
• Show author(s) (2005). Numerical study of traveling-wave solutions for the Camassa-Holm equation. Chaos, Solitons & Fractals. 287-298.
• Show author(s) (2005). Hamiltonian long-wave expansions for free surfaces and interfaces. Communications on Pure and Applied Mathematics. 1587-1641.
• Show author(s) (2005). Error analysis of a spectral projection of the regularizedBenjamin-Ono equation. BIT Numerical Mathematics. 69-89.
• Show author(s) (2005). Error Analysis of Spectral Projections of the Regularized Benjamin-Ono Equation. BIT Numerical Mathematics. 69-89.
• Show author(s) (2005). Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation. Annales de l'Institut Henri Poincare. Analyse non linéar. 783-797.
• Show author(s) (2004). Stability of solitary waves for a nonlinearly dispersive equation. Discrete and Continuous Dynamical Systems. Series A. 709-717.
• Show author(s) (2004). Singularity formation in the generalized Benjamin-Ono equation. Discrete and Continuous Dynamical Systems. Series A. 27-45.
• Show author(s) (2004). Periodic traveling water waves with isobaric streamlines. Journal of Nonlinear Mathematical Physics. 461-471.
• Show author(s) (2004). A uniqueness result for periodic traveling waves in water of finite depth. Nonlinear Analysis. 779-785.
• Show author(s) (2004). A new model for large amplitude long internal waves. Comptes rendus. Mecanique. 525-530.
• Show author(s) (2003). The derivative nonlinear Schrödinger equation in analytic classes 10 (2003), suppl. 1, 62--71. Journal of Nonlinear Mathematical Physics. 62-71.
• Show author(s) (2003). Dispersion-managed solitons in the limit of large energy. Proceedings of the Steklov Institute of Mathematics. 98-107.
• Show author(s) (2002). Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions. Differential and Integral Equations. 1325-1334.
• Show author(s) (2000). Models for internal waves in deep water. Discrete and Continuous Dynamical Systems. Series A. 1-20.
Academic lecture
• Show author(s) (2018). Wave breaking in undular bores .
• Show author(s) (2018). KdV Equations and Wave Breaking in Undular Bores .
• Show author(s) (2018). Approximate Conservation Laws for the KdV Equation .
• Show author(s) (2017). Two-Dimensional Bifurcation in the Whitham equation with surface tension.
• Show author(s) (2017). Fully dispersive nonlinear model equations for hydroelastic waves .
• Show author(s) (2016). Two-dimensional bifurcation in the Whitham Equation with surface tension.
• Show author(s) (2015). Particle Paths and Conservation Laws in the Serre System.
• Show author(s) (2014). ON THE SHOALING OF SOLITARY WAVES IN THE KDV EQUATION.
• Show author(s) (2014). Numerical investigation of a solitary wave shoaling using conservation laws.
• Show author(s) (2011). On the Stability of Internal Waves.
• Show author(s) (2010). Stability of a CO2-Seawater Interface.
• Show author(s) (2010). Conservation Equations for Long Wave Models and Applications to Undular Bores.
• Show author(s) (2009). Energy Balance for Undular Bores.
• Show author(s) (2008). Traveling Waves for the Whitham Equation.
• Show author(s) (2007). On the Rate of Convergence of a Spectral Approximation of the KdV Equation.
• Show author(s) (2005). Models for Interfacial Capillary-Gravity Waves in the Long-Wave Limit.
Book review
• Show author(s) (2011). MR2605864 (2011i:65173). Mathematical Reviews.
• Show author(s) (2010). MR2477955 (2010f:65198). Mathematical Reviews.
• Show author(s) (2010). MR2466743 (2010f:65204). Mathematical Reviews.
• Show author(s) (2008). MR2286134 (2008a:65190). Mathematical Reviews.
• Show author(s) (2007). MR2254610 (2007j:35193). Mathematical Reviews.
• Show author(s) (2007). MR2212225 (2007f:76050). Mathematical Reviews.
• Show author(s) (2006). MR2192324 (2006k:65275). Mathematical Reviews.
• Show author(s) (2006). MR2150258 (2006g:35237). Mathematical Reviews.
• Show author(s) (2006). MR2131971 (2006d:65112). Mathematical Reviews.
Masters thesis
• Show author(s) (2019). Wave breaking in the BBM-equation .
• Show author(s) (2019). Higher-order Boussinesq systems: Modeling, numerics and applications.
• Show author(s) (2013). Ill Posedness Results for Generalized Water Wave Models.
• Show author(s) (2010). A discussion on turbulent and undular bores using the models from the shallow water equations and the dispersive system.
• Show author(s) (2008). Relaxation schemes for degenerate parabolic convection diffusion equations with a discontinuous coefficient.
• Show author(s) (2006). Effekten av overflatespenning for overflatebølger på grunt vann og to numeriske metoder for KdV ligningen.
Doctoral dissertation
• Show author(s) (2018). Well-posedness Issues for Nonlinear Partial Differential Equations Appearing in the Modeling of Long Water Waves.
• Show author(s) (2017). On the Relation between Surface Profiles and Internal Flow Properties in Long-Wave Models.
• Show author(s) (2017). Flow Properties of Fully Nonlinear Model Equations for Surface Waves.
• Show author(s) (2017). Derivation and numerical solution of fully nonlinear and fully dispersive water wave model equations.
• Show author(s) (2010). The stability and instability of solitary waves.
Magister thesis
• Show author(s) (2007). The KdV equation as a model for surface gravity waves: comparison of numerical methods and study of an undular bore.
Academic chapter/article/Conference paper
• Show author(s) (2014). ON THE SHOALING OF SOLITARY WAVES IN THE KDV EQUATION. 10 pages.
• Show author(s) (2010). Instability of solitary waves for a nonlinearly dispersive equation. 16 pages.
• Show author(s) (2009). The Stability of Solitary Waves of Depression. 13 pages.
Academic literature review
• Show author(s) (2019). Introduction to the Special Issue on Breaking Waves. European journal of mechanics. B, Fluids. 1-5.

More information in national current research information system (CRIStin)

Publications on Google Scholar

Publications on MathSciNet

• Methods for real-time wave forecasting and phase control of wave energy converters, Bergen Universitetsfond (2021-2022)
• MegaRoller, Grant from the European Commission (Horizon 2020) Consortium leader: AWE Energy, Finland, Role in project: Local contact
• Norwegian Research Network in Mathematical Models in Geophysical Flows, Image and Signal Processing, Topology and Geometry, Grant from the Research Council of Norway (ISP), Role in project: Project leader, 2016-2019
• Internal Waves in the Marginal Ice Zone, 2018 Hydralab grant from European Commission (Horizon 2020)Principal investigator: Magda Carr, St. Andrews, Scotland, Role in project: Participant
• Nonlinear PDE in Spaces of Analytic Functions, a project funded by the Research Council of Norway (2012-2017), Role in project: Project leader
• Wavemaker, a project funded by the Research Council of Norway (2006-2010)