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Nonlinear Waves

Publications of group members

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

Numerical simulation of a tsunami event during the 1996 volcanic eruption in Karymskoye lake, Kamchatka, Russia
Torsvik, R. Paris, I.Didenkulova, E. Pelinovsky, A. Belousov and M. Belousova
Natural Hazards and Earth System Sciences 10 (2010) 2359-2369

ÌýEnergy balance for undular bores
ÌýAlfatih Ali and Henrik Kalisch
ÌýComptes Rendus Mecanique
Volume 338, Issue 2, February 2010, Pages 67-70

ÌýNon-existence and existence of localized solitary waves for the two-dimensional long wave-short wave interaction equations
ÌýHandan Borluk, Husnu Erbay and Saadit Erbay
ÌýApplied Mathematics Letters 23 (2010), 256-360.

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

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

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

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

ÌýTraveling waves for the Whitham equation
Mats Ehrnström and Henrik Kalisch
Differential Integral Equations,
Volume 22 (2009) 1193-1210

ÌýGevrey regularity for a class of water-wave models
Zoran Grujic and Henrik Kalisch
Nonlinear Analysis: Theory, Methods & Applications Volume 71, August 2009, 1160-1170
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Variability in spatial patterns of long nonlinear waves from fast ferries in Tallinn BayÌýÌýÌý
ÌýTomas Torsvik, I. Didenkulova, T. Soomere and K. Parnell,
ÌýNonlinear Processes in Geophysics 16 (2009) 351-363.


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

ÌýOrbital stability of negative solitary waves
ÌýNguyet Thanh Nguyen and Henrik Kalisch
ÌýMathematics and Computers in Simulation 80 (2009) 139-150

ÌýWaves Generated by a Pressure Disturbance Moving in a Channel with Variable Cross-Sectional Topography

ÌýTomas Torsvik, Geir Pedersen, and Kristian Dysthe
ÌýJournal of Waterway, Port, Coastal, and Ocean Engineering 135 (2009), 120-123.





ÌýThe Stability of Solitary Waves of Depression
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.)


ÌýSimulation of Patterns of Wakes from High-Speed Ferries in Tallinn Bay
ÌýTomas Torsvik and Tarmo Soomere
ÌýEstonian Journal of Engineering 14 (2008) 232-254

ÌýAn Efficient Method for the Numerical Calculation of Viscous Effects on Transient Long-Waves
ÌýTomas Torsvik and P. L.-F. Liu
ÌýCoastal Engineering 54 (2007) 263-269


ÌýHamiltonian 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

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

ÌýDerivation and Comparison of Model Equations for Interfacial Capillary-Gravity Waves in Deep Water

Henrik Kalisch
Mathematics and Computers in Simulation 74 (2007) 168-178

ÌýExponential Convergence of a Spectral Projection of the KdV Equation

Magnar Bjørkavåg and Henrik Kalisch
Physics Letters A 365 (2007) 278-283

ÌýGlobal Solutions of the Derivative Schrödinger Equation in a Class of Functions Analytic in a Strip

Jerry L. Bona, Zoran Grujic and Henrik Kalisch
Journal of Differential Equations 229 (2006) 186-203

ÌýConvergence of a Spectral Projection of the Camassa-Holm Equation

Henrik Kalisch and Xavier Raynaud
Numerical Methods for Partial Differential Equations 22 (2006) 1197-1215

ÌýSolitary Waves of Depression

Henrik Kalisch
Journal of Computational Analysis and Applications 8 (2006) 5-24


ÌýInfluence of Variable Froude Number on Waves Generated by Ships in Shallow Water

ÌýTomas Torsvik,Ìý Krisian Dysthe, and Geir Pedersen
ÌýPhysics of Fluids 18 (2006)Ìý No. 062102


ÌýAlgebraic Lower Bounds for the Uniform Radius of Spatial Analyticity for the Generalized KdV Equation

Jerry L. Bona, Zoran Grujic and Henrik Kalisch
Annales de l'Institut Henri Poincare, Non Linear Analysis 22 (2005) 783-797

ÌýHamiltonian Long-Wave Expansions for Free Surfaces and Interfaces

Walter Craig, Philippe Guyenne and Henrik Kalisch
Communications on Pure and Applied Mathematics 58 (2005) 1587-1641

ÌýRapid convergence of a Galerkin projection of the KdV equation

Henrik Kalisch
Comptes Rendus Mathematique 341 (2005) 457-460

ÌýError Analysis of Spectral Projections of the Regularized Benjamin-Ono Equation

Henrik Kalisch
BIT 45 (2005) 69-89

ÌýStability Analysis of Geostrophic Adjustment on Hexagonal Grids with Variable Depth

ÌýTomas Torsvik, Øyvind Thiem, and Jarle Berntsen
ÌýMonthly Weather Review 133 (2005), 3335-3344


ÌýModels 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

ÌýNumerical Study of Traveling-Wave Solutions of the Camassa-Holm equation

Henrik Kalisch and Jonatan Lenells
Chaos, Solitons & Fractals 25 (2005), 287-298

ÌýPeriodic Traveling Water Waves with Isobaric Streamlines

Henrik Kalisch
Journal of Nonlinear Mathematical Physics Supplement to Volume 11 (2004) 461-471

ÌýA Uniqueness Result for Periodic Traveling Waves in Water of Finite Depth

Henrik Kalisch
Nonlinear Analysis: Theory, Methods & Applications 58 (2004) 779-785

ÌýA New Model for Large Amplitude Long Internal Waves

Walter Craig, Philippe Guyenne and Henrik Kalisch
Comptes Rendus Mecanique 332 (2004) 525-530

ÌýSingularity Formation in the Generalized Benjamin-Ono Equation

Jerry L. Bona and Henrik Kalisch
Discrete and Continuous Dynamical Systems 11 (2004) 27-45

ÌýStability of Solitary Waves for a Nonlinearly Dispersive Equation

Henrik Kalisch
Discrete and Continuous Dynamical Systems 10 (2004) 709-716

ÌýDispersion-managed Solitons in the Limit of Large Energy

Henrik Kalisch and Dmitry Pelinovsky
Proceedings of the Steklov Mathematical Institute (2003) S91 - S97

ÌýThe Derivative Nonlinear Schrödinger Equation in Analytic Classes

Zoran Grujic and Henrik Kalisch
Journal of Nonlinear Mathematical Physics Supplement to Volume 10 (2003) 62-71.

ÌýWell-Posedness for the Korteweg-deVries Equation in Spaces of Analytic Functions

Zoran Grujic and Henrik Kalisch
Differential and Integral Equations 15 (2002) 1325-1334.

ÌýModels for Internal Waves in Deep Water

Henrik Kalisch and Jerry L. Bona
Discrete and Continuous Dynamical Systems 6 (2000) 1-20

ÌýSolitary 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.

ÌýMass Transport and Surface Reaction of Immunoassey

Jim Buchanan, Henrik Kalisch, Anastasios Liakos, Renee Yong Ran Liu, Shree Yvonne Whitaker, Igor Zhislin, Zhong Ding
Industrial Mathematics: The 1998 CRSC Workshop SIAM, Philadelphia, 2000, pages 59-70