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Henrik Kalisch

Professor
  • E-mailHenrik.Kalisch@uib.no
  • Phone+47 55 58 48 74
  • Visitor Address
    Realfagbygget, Allégt. 41
  • Postal Address
    Postboks 7803
    5020 Bergen
Academic article
  • 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. Mathematical Modelling and Numerical Analysis. 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.
  • 2005. Numerical study of traveling-wave solutions for the Camassa-Holm equation. Chaos, Solitons & Fractals. 287-298.
  • 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.
Academic lecture
  • 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.
Book review
  • 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.
Masters thesis
  • 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.
Doctoral dissertation
  • 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.
Magister thesis
  • 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
  • 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.
Academic literature review
  • 2019. Introduction to the Special Issue on Breaking Waves. 1-5.

More information in national current research information system (CRIStin)

Nonlinear PDE in Spaces of Analytic Functions, a project funded by the Research Council of Norway (2012-2017)

Wavemaker, a project funded by the Research Council of Norway (2006-2010)