- E-mailHenrik.Kalisch@uib.no
- Phone+47 55 58 48 74
- Visitor AddressAllégaten 41Realfagbygget5007 Bergen
- Postal AddressPostboks 78035020 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:**

- Ship wave patterns on floating ice sheets by K. Johnsen, H. Kalisch, E. Parau
**Scientific Reports**12 (2022) - Lagrangian measurements of orbital velocities in the surf zone, by M. Bjørnestad, M. Buckley, H Kalisch et al.
**Geophysical Research Letters**48 (2021) - Fully dispersive Boussinesq models with uneven bathymetry by J.D. Carter, E. Dinvay and H Kalisch,
**Journal of Engineering Mathematics**127 (2021) - Extreme wave run-up on a steep coastal profile by M Bjørnestad and H Kalisch,
**AIP Advances**10 (2020)

**Current research group:**

**Bashar Khorbatly**, Postdoctoral researcher

**Francesco Lagona**, Adjunct professor

**Juan Enrique Angular 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

**Karoline Holand**, Master student

**Andreas Jacobsen**, Master student (joint with Volker Roeber, Universite de Pau, France)

**Lluïsa Puig Moner**, Master student (joint with Johnny A. Johannessen, Geophysics department)

**Bo Schleisner**, Master student (joint with Anne D. Sandvik and Jon Albretsen, Marine Research Institute)

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, Karoline Holand, Andreas Jacobsen, Lluïsa Puig Moner, 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: Marius Nevland (2022), Kristoffer Johnsen (2022), 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).

- (2024). Convergence of mechanical balance laws for water waves: from KdV to Euler. Nonlinearity. 32 pages.

- (2023). The superharmonic instability and wave breaking in Whitham equations. Physics of Fluids.
- (2023). Sudden wave flooding on steep rock shores: a clear but hidden danger. Natural Hazards.
- (2023). Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations. Studies in applied mathematics (Cambridge).
- (2023). Particle trajectories in a weakly nonlinear long-wave model on a shear flow. Applied Numerical Mathematics.
- (2023). On the formulation of energy conservation in the eeKdV equation. Applied Numerical Mathematics.
- (2023). Identification of wave breaking from nearshore wave-by-wave records. Physics of Fluids.

- (2022). Waves generated by moving loads on ice plates: Viscoelastic approximations. Wave motion.
- (2022). The cubic vortical Whitham equation. Wave motion.
- (2022). Ship wave patterns on floating ice sheets. Scientific Reports. 1-10.
- (2022). On Existence and Admissibility of Singular Solutions for Systems of Conservation Laws. International Journal of Applied and Computational Mathematics.
- (2022). A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis. Nonlinearity. 750-786.

- (2021). Wave Breaking in Undular Bores with Shear Flows. Water Waves. 473-490.
- (2021). Lagrangian Measurements of Orbital Velocities in the Surf Zone. Geophysical Research Letters. 1-9.
- (2021). Fully dispersive Boussinesq models with uneven bathymetry. Journal of Engineering Mathematics.
- (2021). A mathematical justification of the momentum density function associated to the KdV equation. Comptes rendus. Mathematique. 39-45.
- (2021). A Nonlinear Formulation of Radiation Stress and Applications to Cnoidal Shoaling. Water Waves.

- (2020). Particle Trajectories in Nonlinear Schrödinger Models. Water Waves.
- (2020). Extreme wave runup on a steep coastal profile. AIP Advances. 105205-1-105205-7.
- (2020). Admissibility conditions for Riemann data in shallow water theory. Zeitschrift fur Naturforschung A-A Journal of Physical Sciences. 637-648.

- (2019). Wave breaking in undular bores generated by a moving weir. Physics of Fluids. 1-8.
- (2019). Wave breaking in the KdV equation on a flow with constant vorticity. European journal of mechanics. B, Fluids. 48-54.
- (2019). The Whitham equation for hydroelastic waves. Applied Ocean Research. 202-210.
- (2019). Stability of periodic progressive gravity wave solutions of the Whitham equation in the presence of vorticity. Physics Letters A.
- (2019). On the local well-posedness for a full-dispersion boussinesq system with surface tension. Proceedings of the American Mathematical Society. 2545-2559.
- (2019). Long wave dynamics for a liquid CO2 lake in the deep ocean. Applied Numerical Mathematics. 1-14.
- (2019). Laboratory experiments on internal solitary waves in ice-covered waters. Geophysical Research Letters. 12230-12238.
- (2019). Internal flow properties in a capillary bore . Physics of Fluids. 113602-1-113602-10.
- (2019). Interaction of a free surface with a vortex patch. Wave motion. 32-50.
- (2019). Fully dispersive models for moving loads on ice sheets. Journal of Fluid Mechanics. 122-149.

- (2018). Particle paths in nonlinear Schrodinger models in the presence of linear shear currents. Journal of Fluid Mechanics. 322-350.
- (2018). Hydraulic jumps on shear flows with constant vorticity. European journal of mechanics. B, Fluids. 594-600.
- (2018). Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics. Nonlinearity. 5463-5483.
- (2018). Convective wave breaking in the KdV equation. Analysis and Mathematical Physics. 57-75.
- (2018). A shallow-water system with vanishing buoyancy. Applicable Analysis.
- (2018). A comparative study of bi-directional Whitham systems. Applied Numerical Mathematics. 1-15.

- (2017). Vortex dynamics in nonlinear free surface flows. Physics of Fluids. 1-16.
- (2017). The Whitham equation with surface tension. Nonlinear dynamics. 1125-1138.
- (2017). Shallow water dynamics on linear shear flows and plane beaches. Physics of Fluids.
- (2017). On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation. Nonlinear Analysis: Real world applications. 35-48.
- (2017). Numerical bifurcation for the capillary Whitham equation. Physica D : Non-linear phenomena. 51-62.
- (2017). Explicit solutions for a long-wave model with constant vorticity. European journal of mechanics. B, Fluids. 247-256.
- (2017). Delta shock waves in shallow water flow. Physics Letters A. 1138-1144.
- (2017). Approximate conservation laws for an integrable boussinesq system. Mathematical Modelling of Natural Phenomena. 1-14.
- (2017). A numerical study of nonlinear dispersive wave models with spectravvave. Electronic Journal of Differential Equations. 1-23.

- (2016). Rayleigh–Taylor instability of immiscible fluids in porous media. Continuum Mechanics and Thermodynamics. 721-731.
- (2016). PDE Based Algorithms for Smooth Watersheds. IEEE Transactions on Medical Imaging. 957-966.
- (2016). Mechanical balance laws for fully nonlinear and weakly dispersive water waves. Physica D : Non-linear phenomena. 243-253.
- (2016). A numerical study of the Whitham equation as a model for steady surface water waves. Journal of Computational and Applied Mathematics. 293-302.

- (2015). The Whitham Equation as a model for surface water waves. Physica D : Non-linear phenomena. 99-107.
- (2015). Non-standard shocks in the Buckley-Leverett equation. Journal of Mathematical Analysis and Applications. 882-895.
- (2015). Mechanical balance laws in long wave models. Oberwolfach Reports. 28-31.
- (2015). A kinematic conservation law in free surface flow. Nonlinearity. 1805-1821.

- (2014). Stability of traveling wave solutions to the Whitham equation. Physics Letters A. 2100-2107.
- (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.
- (2014). Dynamics of the interface between immiscible liquids of different densities with low Froude number. Nonlinear Analysis: Real world applications. 361-366.
- (2014). Convective mixing influenced by the capillary transition zone. Computational Geosciences. 417-431.

- (2013). Solitary wave collisions in the regularized long wave equation. Electronic Journal of Differential Equations. 1-13.
- (2013). Reconstruction of the pressure in long-wave models with constant vorticity. European journal of mechanics. B, Fluids. 187-194.
- (2013). Global bifurcation for the Whitham equation. Mathematical Modelling of Natural Phenomena. 13-30.
- (2013). Derivation of Boussinesq's shoaling law using a coupled BBM system. Nonlinear processes in geophysics. 213-219.
- (2013). Boussinesq modeling of surface waves due to underwater landslides. Nonlinear processes in geophysics. 267-285.

- (2012). Singular solutions of a fully nonlinear 2 × 2 system of conservation laws. Proceedings of the Edinburgh Mathematical Society. 711-729.
- (2012). Singular solutions for the shallow-water equations. IMA Journal of Applied Mathematics. 340-350.
- (2012). Particle dynamics in the KdV approximation. Wave motion. 691-709.
- (2012). Nonexistence of coherent structures in two-dimensional inviscid channel flow. Mathematical Modelling of Natural Phenomena. 77-82.
- (2012). Mechanical balance laws for boussinesq models of surface water waves. Journal of nonlinear science. 371-398.
- (2012). Effects of a capillary transition zone on the stability of a diffusive boundary layer. IMA Journal of Applied Mathematics. 771-787.
- (2012). A dispersive model for undular bores. Analysis and Mathematical Physics. 347-366.

- (2011). Wave breaking in Boussinesq models for undular bores. Physics Letters A. 1570-1578.

- (2010). Radius of analyticity and exponential convergence for spectral projections of the generalized KdV equation. Communications in nonlinear science & numerical simulation. 869-880.
- (2010). On the stability of internal waves. Journal of Physics A: Mathematical and Theoretical. 495205.
- (2010). Energy budget in a dispersive model for undular bores. Proceedings of the Estonian Academy of Sciences : Physics, Mathematics. 172-181.
- (2010). Energy balance for undular bores. Comptes rendus. Mecanique. 67-70.
- (2010). A KdV-type Boussinesq system: From the energy level to analytic spaces. Discrete and Continuous Dynamical Systems. Series A. 1121-1139.

- (2009). Traveling waves for the Whitham equation. Differential and Integral Equations. 1193-1210.
- (2009). Traveling waves for the Whitham equation. Differential and Integral Equations. 1193-1210.
- (2009). Stability of negative solitary waves. Electronic Journal of Differential Equations. 1-20.
- (2009). Orbital stability of negative solitary waves. Mathematics and Computers in Simulation. 139-150.
- (2009). Gevrey regularity for a class of water-wave models. Nonlinear Analysis. 1160-1170.
- (2009). A boundary value problem for the KdV equation: Comparison of finite-difference and Chebyshev methods. Mathematics and Computers in Simulation. 151-163.
- (2009). A bound on oscillations in an unsteady undular bore. Applicable Analysis. 1701-1712.

- (2007). On the rate of convergence of a collocation projection of the KdV equation. Modélisation mathématique et analyse numérique. 95-110.
- (2007). Exponential convergence of a spectral projection of the KdV equation. Physics Letters A. 278-283.
- (2007). Derivation and comparison of model equations for interfacial capillary-gravity waves in deep water. Mathematics and Computers in Simulation. 168-178.

- (2006). Solitary Waves of Depression. Journal of Computational Analysis And Applications. 5-24.
- (2006). Global Solutions of the Derivative Schrödinger Equation in a Class of Functions Analytic in a Strip. Journal of Differential Equations. 186-203.
- (2006). Convergence of a spectral projection of the Camassa-Holm equation. Numerical Methods for Partial Differential Equations. 1197-1215.
- (2006). Convergence of a Spectral Projection of the Camassa-Holm Equation. Numerical Methods for Partial Differential Equations. 1197-1215.

- (2005). Rapid convergence of a Galerkin projection of the KdV equation. Comptes rendus. Mathematique. 457-460.
- (2005). Numerical study of traveling-wave solutions for the Camassa-Holm equation. Chaos, Solitons & Fractals. 287-298.
- (2005). Numerical study of traveling-wave solutions for the Camassa-Holm equation. Chaos, Solitons & Fractals.
- (2005). Hamiltonian long-wave expansions for free surfaces and interfaces. Communications on Pure and Applied Mathematics. 1587-1641.
- (2005). Error analysis of a spectral projection of the regularizedBenjamin-Ono equation. BIT Numerical Mathematics. 69-89.
- (2005). Error Analysis of Spectral Projections of the Regularized Benjamin-Ono Equation. BIT Numerical Mathematics. 69-89.
- (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.

- (2004). Stability of solitary waves for a nonlinearly dispersive equation. Discrete and Continuous Dynamical Systems. Series A. 709-717.
- (2004). Singularity formation in the generalized Benjamin-Ono equation. Discrete and Continuous Dynamical Systems. Series A. 27-45.
- (2004). Periodic traveling water waves with isobaric streamlines. Journal of Nonlinear Mathematical Physics. 461-471.
- (2004). A uniqueness result for periodic traveling waves in water of finite depth. Nonlinear Analysis. 779-785.
- (2004). A new model for large amplitude long internal waves. Comptes rendus. Mecanique. 525-530.

- (2003). The derivative nonlinear Schrödinger equation in analytic classes 10 (2003), suppl. 1, 62--71. Journal of Nonlinear Mathematical Physics. 62-71.
- (2003). Dispersion-managed solitons in the limit of large energy. Proceedings of the Steklov Institute of Mathematics. 98-107.

- (2002). Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions. Differential and Integral Equations. 1325-1334.

- (2000). Models for internal waves in deep water. Discrete and Continuous Dynamical Systems. Series A. 1-20.

- (2018). Wave breaking in undular bores .
- (2018). KdV Equations and Wave Breaking in Undular Bores .
- (2018). Approximate Conservation Laws for the KdV Equation .

- (2017). Two-Dimensional Bifurcation in the Whitham equation with surface tension.
- (2017). Fully dispersive nonlinear model equations for hydroelastic waves .

- (2016). Two-dimensional bifurcation in the Whitham Equation with surface tension.

- (2015). Particle Paths and Conservation Laws in the Serre System.

- (2014). ON THE SHOALING OF SOLITARY WAVES IN THE KDV EQUATION.
- (2014). Numerical investigation of a solitary wave shoaling using conservation laws.

- (2011). On the Stability of Internal Waves.

- (2010). Stability of a CO2-Seawater Interface.
- (2010). Conservation Equations for Long Wave Models and Applications to Undular Bores.

- (2009). Energy Balance for Undular Bores.

- (2008). Traveling Waves for the Whitham Equation.

- (2007). On the Rate of Convergence of a Spectral Approximation of the KdV Equation.

- (2005). Models for Interfacial Capillary-Gravity Waves in the Long-Wave Limit.

- (2011). MR2605864 (2011i:65173). Mathematical Reviews.

- (2010). MR2477955 (2010f:65198). Mathematical Reviews.
- (2010). MR2466743 (2010f:65204). Mathematical Reviews.

- (2008). MR2286134 (2008a:65190). Mathematical Reviews.

- (2007). MR2254610 (2007j:35193). Mathematical Reviews.
- (2007). MR2212225 (2007f:76050). Mathematical Reviews.

- (2006). MR2192324 (2006k:65275). Mathematical Reviews.
- (2006). MR2150258 (2006g:35237). Mathematical Reviews.
- (2006). MR2131971 (2006d:65112). Mathematical Reviews.

- (2019). Wave breaking in the BBM-equation .
- (2019). Higher-order Boussinesq systems: Modeling, numerics and applications.

- (2013). Ill Posedness Results for Generalized Water Wave Models.

- (2010). A discussion on turbulent and undular bores using the models from the shallow water equations and the dispersive system.

- (2008). Relaxation schemes for degenerate parabolic convection diffusion equations with a discontinuous coefficient.

- (2006). Effekten av overflatespenning for overflatebølger på grunt vann og to numeriske metoder for KdV ligningen.

- (2018). Well-posedness Issues for Nonlinear Partial Differential Equations Appearing in the Modeling of Long Water Waves.

- (2017). On the Relation between Surface Profiles and Internal Flow Properties in Long-Wave Models.
- (2017). Flow Properties of Fully Nonlinear Model Equations for Surface Waves.
- (2017). Derivation and numerical solution of fully nonlinear and fully dispersive water wave model equations.

- (2010). The stability and instability of solitary waves.

- (2007). The KdV equation as a model for surface gravity waves: comparison of numerical methods and study of an undular bore.

- (2014). ON THE SHOALING OF SOLITARY WAVES IN THE KDV EQUATION. 10 pages.

- (2010). Instability of solitary waves for a nonlinearly dispersive equation. 16 pages.

- (2009). The Stability of Solitary Waves of Depression. 13 pages.

- (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)

- 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)