Henrik Kalisch



Publications in International Journals


  1. Shallow water dynamics on linear shear flows and plane beaches   PDF
    Maria Bjørnestad and Henrik Kalisch
    Physics of Fluids
    Volume 29, July 2017, 073602

  2. On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation   PDF
    A. Alexandrou Himonas, Henrik Kalisch and Sigmund Selberg
    Nonlinear Analysis: Real World Applications
    Volume 38, December 2017, Pages 35-48

  3. Explicit solutions for a long-wave model with constant vorticity PDF
    Benjamin L. Segal, Daulet Moldabayev, Henrik Kalisch, Bernard Deconinck
    European Journal of Mechanics B / Fluids
    Volume 65, September-October 2017, Pages 247-256

  4. The Whitham Equation with Surface Tension   PDF
    Evgueni Dinvay, Daulet Moldabayev, Denys Dutykh and Henrik Kalisch
    Nonlinear Dynamics,
    April 2017, Volume 88, Issue 2, pp 1125-1138

  5. Delta shock waves in shallow water flow   PDF
    Henrik Kalisch, Darko Mitrovic and Vincent Teyekpiti
    Physics Letters A
    Volume 381, Issue 13, 4 April 2017, Pages 1138-1144

  6. Vortex dynamics in nonlinear free surface flows   PDF
    Christopher Curtis and Henrik Kalisch
    Physics of Fluids
    Volume 29, March 2017, 032101

  7. Numerical bifurcation for the capillary Whitham equation   PDF
    Filippo Remonato and Henrik Kalisch
    Physica D
    Volume 343, 15 March 2017, Pages 51-62

  8. Approximate Conservation Laws for an Integrable Boussinesq System   PDF
    A Ali, B-S Juliussen, H Kalisch
    Mathematical Modelling of Natural Phenomena
    Volume 12, Number 1 (2017), Pages 1-14

  9. A numerical study of nonlinear dispersive wave models with SpecTraVVave   PDF
    Henrik Kalisch, Daulet Moldabayev, Olivier Verdier
    Electronic Journal of Differential Equations
    Volume 2017, No. 62.

  10. Legendre Pseudospectral Approximation of Boussinesq Systems and Applications to Wave Breaking some_text
    Magnar Bjørkavåg, Henrik Kalisch, Zahra Khorsand and Dimitrios Mitsotakis
    J. Math. Stud.
    Volume 49, Issue 3, 2016, Pages 221-237

  11. Mechanical balance laws for fully nonlinear and weakly dispersive water waves   PDF
    Henrik Kalisch, Zahra Khorsand and Dimitrios Mitsotakis
    Physica D
    Volume 333, 15 October 2016, Pages 243-253

  12. Rayleigh-Taylor instability of immiscible fluids in porous media   PDF
    Henrik Kalisch, Darko Mitrovic, and Jan Martin Nordbotten
    Continuum Mechanics and Thermodynamics
    May 2016, Volume 28, Issue 3, pp 721-731

  13. A Numerical Study of the Whitham Equation as a Model for Steady Surface Water Waves   PDF
    Handan Borluk, Henrik Kalisch, and David P. Nicholls
    Journal of Computational and Applied Mathematics
    Volume 296, April 2016, Pages 293-302

  14. PDE based algorithms for smooth watersheds   PDF
    Erlend Hodneland, Xue-Cheng Tai and Henrik Kalisch
    IEEE Transactions on Medical Imaging Volume:35 Issue:4 (2016)

  15. The Whitham Equation as a model for surface water waves   PDF
    Daulet Moldabayev, Henrik Kalisch and Denys Dutykh
    Physica D
    Volume 309, 1 August 2015, Pages 99-107

  16. A Kinematic Conservation Law in Free Surface Flow   PDF
    Sergey Gavrilyuk, Henrik Kalisch and Zahra Khorsand
    Nonlinearity
    2015, Volume 28, Number 6, 1805

  17. Non-standard Shocks in the Buckley-Leverett Equation   PDF
    Henrik Kalisch, Darko Mitrovic and Jan Nordbotten
    Journal of Mathematical Analysis and Applications
    Volume 428, Issue 2, 15 August 2015, Pages 882-895

  18. On the Formulation of Mass, Momentum and Energy Conservation in the KdV Equation   PDF
    Alfatih Ali and Henrik Kalisch
    Acta Applicandae Mathematicae
    October 2014, Volume 133, Issue 1, pp 113-131

  19. Stability of traveling wave solutions to the Whitham equation   PDF
    Nathan Sanford, Keri Kodama, John D. Carter and Henrik Kalisch
    Physics Letters A
    Volume 378, Issues 30-31, 13 June 2014, Pages 2100-2107

  20. Convective mixing influenced by the capillary transition zone   PDF
    Maria Elenius, Jan M. Nordbotten and Henrik Kalisch
    Computational Geosciences
    August 2014, Volume 18, Issue 3-4, pp 417-431

  21. Dynamics of the interface between immiscible liquids of different densities with low Froude number  
    Darko Mitrovic, Jan Martin Nordbotten and Henrik Kalisch
    Nonlinear Analysis: Real World Applications
    Volume 15, January 2014, Pages 361-366

  22. Global bifurcation for the Whitham equation
    Mats Ehrnström and Henrik Kalisch
    Mathematical Modelling of Natural Phenomena
    Volume 8 / Issue 05 / January 2013, pp 13-30

  23. Boussinesq modeling of surface waves due to underwater landslides
    Denys Dutykh and Henrik Kalisch
    Nonlinear Processes in Geophysics
    Volume 20, Number 3, pp. 267-285, 2013

  24. Derivation of Boussinesq's shoaling law using a coupled BBM system
    Henrik Kalisch and Amutha Senthilkumar
    Nonlinear Processes in Geophysics
    Volume 20, Number 2, pp. 213-219, 2013

  25. Reconstruction of the pressure in long-wave models with constant vorticity
    Alfatih Ali and Henrik Kalisch
    European Journal of Mechanics / B Fluids
    Volume 37, January-February 2013, Pages 187-194

  26. Solitary wave collisions in the regularized long wave equation
    Henrik Kalisch, Marie Hai Yen Nguyen and Nguyet Thanh Nguyen
    Electronic Journal of Differential Equations
    Volume 2013, No. 19.

  27. A Dispersive Model for Undular Bores
    Alfatih Ali and Henrik Kalisch
    Analysis and Mathematical Physics 2 (2012), no. 4, 347-366

  28. Effects of a capillary transition zone on the stability of a diffusive boundary layer
    Maria Elenius, Jan M. Nordbotten and Henrik Kalisch
    IMA Journal of Applied Mathematics Volume 77 (2012), Issue 6, 771-787

  29. Particle dynamics in the KdV approximation
    Handan Borluk and Henrik Kalisch
    Wave Motion
    Volume 49 (2012), 691-709.

  30. Singular solutions for the shallow-water equations
    Henrik Kalisch and Darko Mitrovic
    IMA Journal of Applied Mathematics Volume 77 (2012), Issue 3, 340-350

  31. Singular solutions of a fully nonlinear 2x2 system of conservation laws
    Henrik Kalisch and Darko Mitrovic
    Proceedings of the Edinburgh Mathematical Society
    Volume 55 (2012), no. 3, 711-729

  32. Mechanical balance laws for Boussinesq models of surface water waves
    Alfatih Ali and Henrik Kalisch
    Journal of Nonlinear Science
    Volume 22, Number 3 (2012), 371-398

  33. Nonexistence of Coherent Structures in Two-dimensional Inviscid Channel Flow some_text
    Henrik Kalisch
    Mathematical Modelling of Natural Phenomena
    Volume 7, Issue 02, 2012, pages 77-82

  34. Wave breaking in Boussinesq models for undular bores some_text
    Magnar Bjørkavåg and Henrik Kalisch
    Physics Letters A
    Volume 375, Issue 14, April 2011, Pages 1570-1578

  35. On the stability of internal waves some_text
    Henrik Kalisch and Nguyet Thanh Nguyen
    Journal of Physics A
    Volume 43, Issue 49, December 2010, 495205.

  36. Energy balance for undular bores some_text
    Alfatih Ali and Henrik Kalisch
    Comptes Rendus Mecanique
    Volume 338, Issue 2, February 2010, Pages 67-70

  37. A KdV-type Boussinesq system: From the energy level to analytic spaces some_text
    Jerry L. Bona, Zoran Grujic and Henrik Kalisch
    Discrete and Continuous Dynamical Systems 26 (2010), 1121-1139

  38. Radius of analyticity and exponential convergence for spectral projections of the generalized KdV equation some_text
    Magnar Bjørkavåg and Henrik Kalisch
    Communications in Nonlinear Science and Numerical Simulation
    Volume 15 (2010) 869-880

  39. Energy budget in a dispersive model for undular bores some_text
    Magnar Bjørkavåg and Henrik Kalisch
    Proceedings of the Estonian Academy of Sciences
    Volume 59, Issue 2 (2010), Pages 172-181.

  40. Stability of negative solitary waves some_text
    Henrik Kalisch and Nguyet Thanh Nguyen
    Electronic Journal of Differential Equations
    Volume 2009, No. 158.

  41. A bound on oscillations in an unsteady undular bore some_text
    Zoran Grujic and Henrik Kalisch
    Applicable Analysis
    Volume 88, Issue 12 (2009) 1701-1712
    Preprint

  42. Traveling waves for the Whitham equation some_text
    Mats Ehrnström and Henrik Kalisch
    Differential Integral Equations
    Volume 22, Numbers 11-12, November/December 2009, 1193-1210

  43. Gevrey regularity for a class of water-wave models some_text
    Zoran Grujic and Henrik Kalisch
    Nonlinear Analysis: Theory, Methods & Applications
    Volume 71, Issues 3-4, August 2009, 1160-1170

  44. A boundary value problem for the KdV equation: Comparison of finite-difference and Chebyshev methods some_text
    Jan Ole Skogestad and Henrik Kalisch
    Mathematics and Computers in Simulation
    Volume 80 (2009), 151-163

  45. Orbital stability of negative solitary waves some_text
    Nguyet Thanh Nguyen and Henrik Kalisch
    Mathematics and Computers in Simulation
    Volume 80 (2009), 139-150

  46. On the Rate of Convergence of a Collocation Projection of the KdV Equation .pdf
    Henrik Kalisch and Xavier Raynaud
    Mathematical Modelling and Numerical Analysis 41 (2007), 95-110

  47. Derivation and Comparison of Model Equations for Interfacial Capillary-Gravity Waves in Deep Water .pdf
    Henrik Kalisch
    Mathematics and Computers in Simulation 74 (2007), 168-178

  48. Exponential Convergence of a Spectral Projection of the KdV Equation .pdf
    Magnar Bjørkavåg and Henrik Kalisch
    Physics Letters A 365 (2007), 278-283

  49. Global Solutions of the Derivative Schrödinger Equation in a Class of Functions Analytic in a Strip .pdf
    Jerry L. Bona, Zoran Grujic and Henrik Kalisch
    Journal of Differential Equations
    Volume 229 (2006), 186-203

  50. Convergence of a Spectral Projection of the Camassa-Holm Equation .pdf
    Henrik Kalisch and Xavier Raynaud
    Numerical Methods for Partial Differential Equations
    Volume 22 (2006), 1197-1215

  51. Solitary Waves of Depression .pdf
    Henrik Kalisch
    Journal of Computational Analysis and Applications
    Volume 8 (2006), 5-24

  52. Algebraic Lower Bounds for the Uniform Radius of Spatial Analyticity for the Generalized KdV Equation .pdf
    Jerry L. Bona, Zoran Grujic and Henrik Kalisch
    Annales de l'Institut Henri Poincare, Non Linear Analysis
    Volume 22 (2005), 783-797

  53. Hamiltonian Long-Wave Expansions for Free Surfaces and Interfaces .pdf
    Walter Craig, Philippe Guyenne and Henrik Kalisch
    Communications on Pure and Applied Mathematics
    Volume 58 (2005), 1587-1641

  54. Rapid convergence of a Galerkin projection of the KdV equation .pdf
    Henrik Kalisch
    Comptes Rendus Mathematique
    Volume 341 (2005), 457-460

  55. Error Analysis of Spectral Projections of the Regularized Benjamin-Ono Equation .pdf
    Henrik Kalisch
    BIT 45, (2005) 69-89

  56. Numerical Study of Traveling-Wave Solutions of the Camassa-Holm equation .pdf
    Henrik Kalisch and Jonatan Lenells
    Chaos, Solitons & Fractals 25 (2005), 287-298

  57. Periodic Traveling Water Waves with Isobaric Streamlines .pdf
    Henrik Kalisch
    Journal of Nonlinear Mathematical Physics
    Supplement to Volume 11 (2004) 461-471

  58. A Uniqueness Result for Periodic Traveling Waves in Water of Finite Depth .pdf
    Henrik Kalisch
    Nonlinear Analysis: Theory, Methods & Applications
    Volume 58 (2004), 779-785

  59. A New Model for Large Amplitude Long Internal Waves .pdf
    Walter Craig, Philippe Guyenne and Henrik Kalisch
    Comptes Rendus Mecanique
    Volume 332 (2004), 525-530

  60. Singularity Formation in the Generalized Benjamin-Ono Equation .pdf
    Jerry L. Bona and Henrik Kalisch
    Discrete and Continuous Dynamical Systems 11 (2004), 27-45

  61. Stability of Solitary Waves for a Nonlinearly Dispersive Equation .pdf
    Henrik Kalisch
    Discrete and Continuous Dynamical Systems 10 (2004), 709-716

  62. Dispersion-managed Solitons in the Limit of Large Energy
    Henrik Kalisch and Dmitry Pelinovsky
    Proceedings of the Steklov Mathematical Institute
    (2003) S91 - S97

  63. The Derivative Nonlinear Schrödinger Equation in Analytic Classes .pdf
    Zoran Grujic and Henrik Kalisch
    Journal of Nonlinear Mathematical Physics
    Supplement to Volume 10 (2003), 62-71

  64. Local Well-Posedness for the Generalized Korteweg-deVries Equation in Spaces of Analytic Functions .pdf
    Zoran Grujic and Henrik Kalisch
    Differential and Integral Equations 15 (2002), 1325-1334.

  65. Models for Internal Waves in Deep Water .pdf
    Henrik Kalisch and Jerry L. Bona
    Discrete and Continuous Dynamical Systems 6 (2000), 1-20


Refereed Publications in Proceedings, Book Chapters and Journals of National Scope

  1. On the shoaling of solitary waves in the KdV equation   PDF
    Zahra Khorsand and Henrik Kalisch
    Proceedings of 34th Conference on Coastal Engineering, Seoul, Korea, 2014
    December 2014, Vol. 34, 10 pages

  2. Efficiency of Dissolution Trapping in Geological Carbon Storage
    Maria Elenius, Jan M. Nordbotten and Henrik Kalisch
    Proceedings -- ECMOR XIII-13th European Conference on the Mathematics of Oil Recovery
    10 September 2012

  3. Instability of solitary waves for a nonlinearly dispersive equation   .pdf
    Henrik Kalisch and Nguyet Thanh Nguyen
    Contemporary Mathematics
    Volume 526 (2010), 221-236.

  4. The Stability of Solitary Waves of Depression .pdf
    Nguyet Tanh Nguyen and Henrik Kalisch
    in Analysis and Mathematical Physics
    Birkhäuser Series: Trends in Mathematics, 2009, VIII, 514 pg.
    Gustafsson, Björn; Vasiliev, Alexander (Eds.)
    Reprint

  5. Hamiltonian Formulation and Long Wave Models for Internal Waves
    Walter Craig, Philippe Guyenne and Henrik Kalisch
    Proceedings of the 26th International Conference on Offshore Mechanics and Arctic Engineering, 2007, OMAE2007-29314
    Reprint

  6. Models for Interfacial Capillary-Gravity Waves in the Long-Wave Limit
    Henrik Kalisch
    Proceedings of The Fifth International Symposium on Ocean Wave Measurement and Analysis, 2005
    Reprint

  7. Solitary Waves in a Two-Fluid System that Includes Surface Tension
    Henrik Kalisch and Jerry L. Bona
    Proceedings of the Fifth International Congress for Numerical and Mathematical Wave Propagation (2000) 324-328.


Other Publications



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