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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
Journal articles
  • Senthilkumar, Amutha; Kalisch, Henrik. 2019. Wave breaking in the KdV equation on a flow with constant vorticity. European journal of mechanics. B, Fluids. 73: 48-54. doi: 10.1016/j.euromechflu.2017.12.006
  • Trandal, Krister J; Kalisch, Henrik. 2019. Long wave dynamics for a liquid CO2 lake in the deep ocean. Applied Numerical Mathematics. 1-14. doi: 10.1016/j.apnum.2019.01.012
  • Brun, Mats Kirkesæther; Kalisch, Henrik. 2018. Convective wave breaking in the KdV equation. Analysis and Mathematical Physics. 8: 57-75. doi: 10.1007/s13324-017-0163-y
  • Curtis, Christopher W.; Carter, John D.; Kalisch, Henrik. 2018. Particle paths in nonlinear Schrodinger models in the presence of linear shear currents. Journal of Fluid Mechanics. 855: 322-350. doi: 10.1017/jfm.2018.623
  • Dinvay, Evgueni; Dutykh, Denys; Kalisch, Henrik. 2018. A comparative study of bi-directional Whitham systems. Applied Numerical Mathematics. 1-15. doi: 10.1016/j.apnum.2018.09.016
  • Kalisch, Henrik; Mitrovic, Darko; Teyekpiti, Vincent. 2018. Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics. Nonlinearity. 31: 5463-5483. doi: 10.1088/1361-6544/aae04b
  • Kalisch, Henrik; Teyekpiti, Vincent. 2018. A shallow-water system with vanishing buoyancy. Applicable Analysis. doi: 10.1080/00036811.2018.1546000
  • Kalisch, Henrik; Teyekpiti, Vincent. 2018. Hydraulic jumps on shear flows with constant vorticity. European journal of mechanics. B, Fluids. 72: 594-600. doi: 10.1016/j.euromechflu.2018.08.005
  • Ali, Alfatih Omer Mohammed Ahmed; Juliussen, Bjørn-Sverre; Kalisch, Henrik. 2017. Approximate conservation laws for an integrable boussinesq system. Mathematical Modelling of Natural Phenomena. 12: 1-14. doi: 10.1051/mmnp/201712101
  • Bjørnestad, Maria; Kalisch, Henrik. 2017. Shallow water dynamics on linear shear flows and plane beaches. Physics of fluids. 29. doi: 10.1063/1.4994593
  • Curtis, Christopher W.; Kalisch, Henrik. 2017. Vortex dynamics in nonlinear free surface flows. Physics of fluids. 29:032101: 1-16. doi: 10.1063/1.4977801
  • Dinvay, Evgueni; Moldabayev, Daulet; Dutykh, Denys; Kalisch, Henrik. 2017. The Whitham equation with surface tension. Nonlinear dynamics. 88: 1125-1138. doi: 10.1007/s11071-016-3299-7
  • Kalisch, Henrik; Mitrovic, Darko; Teyekpiti, Vincent. 2017. Delta shock waves in shallow water flow. Physics Letters A. 381: 1138-1144. doi: 10.1016/j.physleta.2017.02.007
  • Kalisch, Henrik; Moldabayev, Daulet; Verdier, Olivier. 2017. A numerical study of nonlinear dispersive wave models with spectravvave. Electronic Journal of Differential Equations. 2017: 1-23.
  • Remonato, Filippo; Kalisch, Henrik. 2017. Numerical bifurcation for the capillary Whitham equation. Physica D : Non-linear Phenomena. 343: 51-62. Published 2017-03-15. doi: 10.1016/j.physd.2016.11.003
  • Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard. 2017. Explicit solutions for a long-wave model with constant vorticity. European journal of mechanics. B, Fluids. 65: 247-256. doi: 10.1016/j.euromechflu.2017.04.008
  • Selberg, Sigmund; Kalisch, Henrik; Himonas, A. Alexandrou. 2017. On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation. Nonlinear Analysis: Real world applications. 38: 35-48. doi: 10.1016/j.nonrwa.2017.04.003
  • Borluk, Handan; Kalisch, Henrik; Nicholls, David P. 2016. A numerical study of the Whitham equation as a model for steady surface water waves. Journal of Computational and Applied Mathematics. 296: 293-302. doi: 10.1016/j.cam.2015.09.018
  • Hodneland, Erlend; Tai, Xue-Cheng; Kalisch, Henrik. 2016. PDE Based Algorithms for Smooth Watersheds. IEEE Transactions on Medical Imaging. 35: 957-966. doi: 10.1109/TMI.2015.2503328
  • Kalisch, Henrik; Khorsand, Zahra; Mitsotakis, Dimitrios. 2016. Mechanical balance laws for fully nonlinear and weakly dispersive water waves. Physica D : Non-linear Phenomena. 333: 243-253. doi: 10.1016/j.physd.2016.03.001
  • Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan Martin. 2016. Rayleigh–Taylor instability of immiscible fluids in porous media. Continuum Mechanics and Thermodynamics. 28: 721-731. doi: 10.1007/s00161-014-0408-z
  • Gavrilyuk, Sergey; Kalisch, Henrik; Khorsand, Zahra. 2015. A kinematic conservation law in free surface flow. Nonlinearity. 28: 1805-1821. doi: 10.1088/0951-7715/28/6/1805
  • Kalisch, Henrik. 2015. Mechanical balance laws in long wave models. Oberwolfach Reports. 19: 28-31.
  • Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan Martin. 2015. Non-standard shocks in the Buckley-Leverett equation. Journal of Mathematical Analysis and Applications. 428: 882-895. doi: 10.1016/j.jmaa.2015.03.041
  • Moldabayev, Daulet; Kalisch, Henrik; Dutykh, Denys. 2015. The Whitham Equation as a model for surface water waves. Physica D : Non-linear Phenomena. 309: 99-107. doi: 10.1016/j.physd.2015.07.010
  • Ali, Alfatih Mohammed A; Kalisch, Henrik. 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. 133: 113-131. doi: 10.1007/s10440-013-9861-0
  • Elenius, Maria; Nordbotten, Jan Martin; Kalisch, Henrik. 2014. Convective mixing influenced by the capillary transition zone. Computational Geosciences. 18: 417-431. doi: 10.1007/s10596-014-9415-1
  • Mitrovic, Darko; Nordbotten, Jan Martin; Kalisch, Henrik. 2014. Dynamics of the interface between immiscible liquids of different densities with low Froude number. Nonlinear Analysis: Real world applications. 15: 361-366. doi: 10.1016/j.nonrwa.2012.03.011
  • Sanford, Nathan; Kodama, Keri; Carter, John D.; Kalisch, Henrik. 2014. Stability of traveling wave solutions to the Whitham equation. Physics Letters A. 378: 2100-2107. doi: 10.1016/j.physleta.2014.04.067
  • Ali, Alfatih Mohammed A; Kalisch, Henrik. 2013. Reconstruction of the pressure in long-wave models with constant vorticity. European journal of mechanics. B, Fluids. 37: 187-194. doi: 10.1016/j.euromechflu.2012.09.009
  • Dutykh, Denys; Kalisch, Henrik. 2013. Boussinesq modeling of surface waves due to underwater landslides. Nonlinear processes in geophysics. 20: 267-285. doi: 10.5194/npg-20-267-2013
  • Ehrnström, Mats Harald Andreas; Kalisch, Henrik. 2013. Global bifurcation for the Whitham equation. Mathematical Modelling of Natural Phenomena. 8: 13-30. doi: 10.1051/mmnp/20138502
  • Kalisch, Henrik; Nguyen, Marie Hai Yen; Nguyen, Nguyet Thanh. 2013. Solitary wave collisions in the regularized long wave equation. Electronic Journal of Differential Equations. 2013: 1-13.
  • Kalisch, Henrik; Senthilkumar, Amutha. 2013. Derivation of Boussinesq's shoaling law using a coupled BBM system. Nonlinear processes in geophysics. 20: 213-219. doi: 10.5194/npg-20-213-2013
  • Ali, Alfatih Mohammed A; Kalisch, Henrik. 2012. Mechanical balance laws for boussinesq models of surface water waves. Journal of nonlinear science. 22: 371-398. doi: 10.1007/s00332-011-9121-2
  • Ali, Alfatih Mohammed A; Kalisch, Henrik. 2012. A dispersive model for undular bores. Analysis and Mathematical Physics. 2: 347-366. doi: 10.1007/s13324-012-0040-7
  • Borluk, Handan; Kalisch, Henrik. 2012. Particle dynamics in the KdV approximation. Wave motion. 49: 691-709. doi: 10.1016/j.wavemoti.2012.04.007
  • Elenius, Maria; Nordbotten, Jan Martin; Kalisch, Henrik. 2012. Effects of a capillary transition zone on the stability of a diffusive boundary layer. IMA Journal of Applied Mathematics. 77: 771-787. doi: 10.1093/imamat/hxs054
  • Kalisch, Henrik. 2012. Nonexistence of coherent structures in two-dimensional inviscid channel flow. Mathematical Modelling of Natural Phenomena. 7: 77-82. doi: 10.1051/mmnp/20127207
  • Kalisch, Henrik; Mitrovic, Darko. 2012. Singular solutions for the shallow-water equations. IMA Journal of Applied Mathematics. 77: 340-350. doi: 10.1093/imamat/hxs014
  • Kalisch, Henrik; Mitrovic, Darko. 2012. Singular solutions of a fully nonlinear 2 × 2 system of conservation laws. Proceedings of the Edinburgh Mathematical Society. 55: 711-729. doi: 10.1017/S0013091512000065
  • Bjørkavåg, Magnar; Kalisch, Henrik. 2011. Wave breaking in Boussinesq models for undular bores. Physics Letters A. 375: 1570-1578. doi: 10.1016/j.physleta.2011.02.060
  • Kalisch, Henrik. 2011. MR2605864 (2011i:65173). Mathematical Reviews.
  • Ali, Alfatih Mohammed Ahmed; Kalisch, Henrik. 2010. Energy balance for undular bores. Comptes rendus. Mecanique. 338: 67-70. doi: 10.1016/j.crme.2010.02.003
  • Bjørkavåg, Magnar; Kalisch, Henrik. 2010. Radius of analyticity and exponential convergence for spectral projections of the generalized KdV equation. Communications in nonlinear science & numerical simulation. 15: 869-880. doi: 10.1016/j.cnsns.2009.05.015
  • Bona, Jerry L.; Grujic, Zoran; Kalisch, Henrik. 2010. A KdV-type Boussinesq system: From the energy level to analytic spaces. Discrete and Continuous Dynamical Systems. 26: 1121-1139. doi: 10.3934/dcds.2010.26.1121
  • Kalisch, Henrik. 2010. MR2466743 (2010f:65204). Mathematical Reviews.
  • Kalisch, Henrik. 2010. MR2477955 (2010f:65198). Mathematical Reviews.
  • Kalisch, Henrik; Bjørkavåg, Magnar. 2010. Energy budget in a dispersive model for undular bores. Proceedings of the Estonian Academy of Sciences : Physics, Mathematics. 59: 172-181. doi: 10.3176/proc.2010.2.17
  • Kalisch, Henrik; Nguyen, Nguyet Thanh. 2010. On the stability of internal waves. Journal of Physics A: Mathematical and Theoretical. 43: 495205. doi: 10.1088/1751-8113/43/49/495205
  • Ehrnstrom, Mats; Kalisch, Henrik. 2009. Traveling waves for the Whitham equation. Differential and Integral Equations. 22: 1193-1210.
  • Ehrnström, Mats; Kalisch, Henrik. 2009. Traveling waves for the Whitham equation. Differential and Integral Equations. 22: 1193-1210.
  • Grujic, Zoran; Kalisch, Henrik. 2009. Gevrey regularity for a class of water-wave models. Nonlinear Analysis. 71: 1160-1170. doi: 10.1016/j.na.2008.11.047
  • Grujic, Zoran; Kalisch, Henrik. 2009. A bound on oscillations in an unsteady undular bore. Applicable Analysis. 88: 1701-1712. doi: 10.1080/00036810903397412
  • Kalisch, Henrik; Nguyen, Nguyet Thanh. 2009. Stability of negative solitary waves. Electronic Journal of Differential Equations. 2009: 1-20. doi: http://www.doaj.org/doaj
  • Nguyen, Nguyet Thanh; Kalisch, Henrik. 2009. Orbital stability of negative solitary waves. Mathematics and Computers in Simulation. 80: 139-150. doi: 10.1016/j.matcom.2009.06.010
  • Skogestad, Jan Ole; Kalisch, Henrik. 2009. A boundary value problem for the KdV equation: Comparison of finite-difference and Chebyshev methods. Mathematics and Computers in Simulation. 80: 151-163. doi: 10.1016/j.matcom.2009.06.009
  • Kalisch, Henrik. 2008. MR2286134 (2008a:65190). Mathematical Reviews.
  • Bjørkavåg, Magnar; Kalisch, Henrik. 2007. Exponential convergence of a spectral projection of the KdV equation. Physics Letters A. 365: 278-283. doi: 10.1016/j.physleta.2006.12.085
  • Kalisch, Henrik. 2007. MR2254610 (2007j:35193). Mathematical Reviews.
  • Kalisch, Henrik. 2007. MR2212225 (2007f:76050). Mathematical Reviews.
  • Kalisch, Henrik. 2007. Derivation and comparison of model equations for interfacial capillary-gravity waves in deep water. Mathematics and Computers in Simulation. 74: 168-178. doi: 10.1016/j.matcom.2006.10.008
  • Kalisch, Henrik; Raynaud, Xavier. 2007. On the rate of convergence of a collocation projection of the KdV equation. Mathematical Modelling and Numerical Analysis. 41: 95-110. doi: 10.1051/m2an:2007010
  • Bona, Jerry; Grujic, Zoran; Kalisch, Henrik. 2006. Global Solutions of the Derivative Schrödinger Equation in a Class of Functions Analytic in a Strip. Journal of Differential Equations. 229: 186-203.
  • Kalisch, Henrik. 2006. MR2131971 (2006d:65112). Mathematical Reviews.
  • Kalisch, Henrik. 2006. MR2150258 (2006g:35237). Mathematical Reviews.
  • Kalisch, Henrik. 2006. MR2192324 (2006k:65275). Mathematical Reviews.
  • Kalisch, Henrik. 2006. Solitary Waves of Depression. Journal of Computational Analysis And Applications. 8: 5-24.
  • Kalisch, Henrik; Raynaud, Xavier. 2006. Convergence of a Spectral Projection of the Camassa-Holm Equation. Numerical Methods for Partial Differential Equations. 22: 1197-1215.
  • Kalisch, Henrik; Raynaud, Xavier. 2006. Convergence of a spectral projection of the Camassa-Holm equation. Numerical Methods for Partial Differential Equations. 22: 1197-1215. doi: 10.1002/num.20140
  • Bona, Jerry; Grujic, Zoran; Kalisch, Henrik. 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. 22: 783-797.
  • Craig, Walter; Guyenne, Philippe; Kalisch, Henrik. 2005. Hamiltonian long-wave expansions for free surfaces and interfaces. Communications on Pure and Applied Mathematics. 58: 1587-1641.
  • Kalisch, Henrik. 2005. Rapid convergence of a Galerkin projection of the KdV equation. Comptes rendus. Mathematique. 341: 457-460.
  • Kalisch, Henrik. 2005. Error analysis of a spectral projection of the regularizedBenjamin-Ono equation. BIT Numerical Mathematics. Vol. 45, no. 1. 69-89.
  • Kalisch, Henrik. 2005. Error Analysis of Spectral Projections of the Regularized Benjamin-Ono Equation. BIT Numerical Mathematics. 45: 69-89.
  • Kalisch, Henrik; Lenells, J. 2005. Numerical study of traveling-wave solutions for the Camassa-Holm equation. Chaos, Solitons & Fractals. 25.
  • Kalisch, Henrik; Lenells, Jonatan. 2005. Numerical study of traveling-wave solutions for the Camassa-Holm equation. Chaos, Solitons & Fractals. 25: 287-298.
  • Bona, Jerry; Kalisch, Henrik. 2004. Singularity formation in the generalized Benjamin-Ono equation. Discrete and Continuous Dynamical Systems. 11: 27-45.
  • Craig, Walter; Guyenne, Philippe; Kalisch, Henrik. 2004. A new model for large amplitude long internal waves. Comptes rendus. Mecanique. 332: 525-530.
  • Kalisch, Henrik. 2004. Stability of solitary waves for a nonlinearly dispersive equation. Discrete and Continuous Dynamical Systems. 10: 709-717.
  • Kalisch, Henrik. 2004. Periodic traveling water waves with isobaric streamlines. Journal of Nonlinear Mathematical Physics. 11: 461-471.
  • Kalisch, Henrik. 2004. A uniqueness result for periodic traveling waves in water of finite depth. Nonlinear Analysis. 58: 779-785.
  • Grujic, Zoran; Kalisch, Henrik. 2003. The derivative nonlinear Schrödinger equation in analytic classes 10 (2003), suppl. 1, 62--71. Journal of Nonlinear Mathematical Physics. 10: 62-71.
  • Kalisch, Henrik; Pelinovsky, Dmitry. 2003. Dispersion-managed solitons in the limit of large energy. Proceedings of the Steklov Institute of Mathematics. 98-107.
  • Grujic, Zoran; Kalisch, Henrik. 2002. Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions. Differential and Integral Equations. 15: 1325-1334.
  • Kalisch, Henrik; Bona, Jerry. 2000. Models for internal waves in deep water. Discrete and Continuous Dynamical Systems. 6: 1-20.
Book sections
  • Khorsand, Zahra; Kalisch, Henrik. 2014. ON THE SHOALING OF SOLITARY WAVES IN THE KDV EQUATION. No 34 (2014) waves.44, pages 1-10. In:
    • Lynett, Patrick J; Smith, Jane McKee. 2014. Proceedings of 34th Conference on Coastal Engineering, Seoul, South Korea. 350 pages. ISBN: 978-0-9896611-2-6.
  • Kalisch, Henrik; Nguyen, Nguyet Thanh. 2010. Instability of solitary waves for a nonlinearly dispersive equation. Article, pages 221-236. In:
    • Holden, Helge; Karlsen, Kenneth Hvistendahl. 2010. Nonlinear partial differential equations and hyperbolic wave phenomena. American Mathematical Society (AMS). 389 pages. ISBN: 978-0-8218-4976-7.
  • Nguyen, Nguyet Thanh; Kalisch, Henrik. 2009. The Stability of Solitary Waves of Depression. -, pages 441-453. In:
    • Vasiliev, Alexander; Gustafsson, Björn. 2009. Analysis and Mathematical Physics. Birkhäuser Verlag. 514 pages. ISBN: 978-3-7643-9905-4.

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)