Propagating Waves

Rajan, G.K., Bayram, S., Henderson, D.M. Periodic envelopes of waves over non-uniform depth. submitted (Dec, 2015).


Henderson, D., Rajan, GK, Segur, H. (2015) Dissipation of narrow-banded surface water waves. P. Guyenne et al. (eds.), Hamiltonian Partial Differential Equations and Applications, Fields Institute Communications 75, pp. 163-183.  (

Henderson, D.M., Segur, H. (2013) The role of dissipation in the evolution of ocean swell . JGR-Oceans. 118 Issue 10. pp. 5074 - 5091.

Oliveras, K.L., Vasan, V., Deconinck, B., Henderson, D. (2012) Recovering the water-wave profile from pressure measurements. SIAM-JAM. 72 No. 3; pp. 897-918. (pdf)

Henderson, D., Segur, H. (2012) The Benjamin-Feir Instability and Propagation of Swell Across the Pacific. Math. Comput. Simul. 82, pp. 1172-1184. (pdf)

Henderson, Segur, Carter, (2010), Journal of Fluid Mechanics 658, pp. 247-278. (pdf)

Henderson, D., Geist, R., Hammack, K., Segur, H., (2010) Demonstration Experiments in the NSF-CBMS Regional Conference on Water Waves. in Proceedings of the Conference on Water Waves, Theory and Experiment, Howard University, 13-18 May 2008. Editors: M. F. Mahmood, Diane Henderson, Harvey Segur. World Scientific, 2010.

Segur, H., Henderson, D.M., (2007) The modulation instability revisited. Euro. Phys. J. Special Topics, 147, 25-43.

Craig, W., Henderson, D.M., Oscamou, M., Segur, H. (2007) Stable three-dimensional waves of nearly permanent form on deep water. Math. Comput. Simul., d74(2-3), 135-144 .

Henderson, D., Segur, H. (2007) Stable deep-water waves propagating in one and two dimensions. Proc. Appl. Math. Mech., 7, 1100401-1100402 / DOI 10.1002/pamm.200700393. (pdf)

Craig, W., Guyenne, P., Hammack, J., Henderson, D., Sulem, C., (2006) Solitary water wave interactions. Physics of Fluids, 18, 057106:1-25. (pdf)

Segur, H., Henderson, D.M., Hammack, J.L. (2005). Can the Benjamin-Feir instability spawn rogue waves? Proceedings of the Aha Hulikoâ Hawaiian Winter Workshop on Rogue Waves. University of Hawaii. 24-28 Jan 2005.

Henderson, D.M., Patterson, M.S., Segur, H. (2006). On the laboratory generation of two-dimensional, progressive, surface waves of nearly permanent form on deep water. J. Fluid Mech. 559, pp. 413-427. (pdf)

Segur, H., Henderson, D., Carter, J., Hammack, J., Li, C.-M., Pheiff, D., Socha, K., (2005), Stabilizing the Benjamin Feir instability. J. Fluid Mech., 539, pp. 229-271. (pdf)

Hammack, J.L., Henderson, D.M., Segur, H. (2005). Progressive waves with persistent two-dimensional surface patterns in deep water. J. Fluid Mech. , 532, pp. 1-52. (pdf)

Hammack, J., Henderson, D., Guyenne, P., Yi, M. (2004) Solitary wave collisions. In Proc. 23rd International Conference on Offshore Mechanics and Arctic Engineering, (pdf)

Hammack, J., Henderson, D., (2003) Experiments on deep-water waves with two dimensional surface patterns. Journal of Offshore Mechanics and Arctic Engineering; Special issue: J. V. Wehausen Symposium on Water Waves, Ship Waves, and Marine Hydrodynamics. 125: 48-53.

Ablowitz, M. J., Hammack, J., Henderson, D., Schober, C. M., (2001) Longtime Dynamics of the modulational instability of deep water waves, Physica D, 152-153, 416-433. (pdf)

Ablowitz, M. J., Hammack, J., Henderson, D., Schober, C. M., Chaotic dynamics of deep water gravity waves, SIAM Proceedings of the SIAM Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation (2000).

Ablowitz, M. J., Hammack, J., Henderson, D., Schober, C. M., (2000) Modulated Periodic Stokes Waves in Deep Water, Physical Review Letters, 84, 887-890. (pdf)

Chow, C.C., Henderson, D., Segur, H., (1996) A generalized stability criterion for resonant triad interactions. Journal of Fluid Mechanics, 319, 67-76. (pdf)

Hammack, J.L., Henderson, D.M.,(1993) Resonant interactions among surface water waves. Annual Reviews of Fluid Mechanics, 25, 55-97. (pdf)

Perlin, M., Henderson, D., Hammack, J. (1990) Experiments on ripple instabilities. Part 2. Selective amplification of resonant triads. Journal of Fluid Mechanics, 219, 51-80. (pdf)

Henderson, D.M., Hammack, J.L., (1987) Experiments on ripple instabilites Part 1. Resonant triads. Journal of Fluid Mechanics, 184, 15-41. (pdf)

Henderson, D., M., Lee, R.C. (1986) Laboratory generation and propagation of ripples. Physics of Fluids, 29, 619-624. (pdf)

Faraday waves

Henderson, D.M. (1998) Effects of surfactants on Faraday-wave dynamics. Journal of Fluid Mechanics, 365, 89-107. (pdf)

Miles, J.W., Henderson, D.M., (1998) A note on interior vs. boundary-layer damping of surface waves in a circular cylinder. Journal of Fluid Mechanics, 364, 319-323. (pdf)

Henderson, D.M., Miles, J.W. (1994) Surface-wave damping in a circular cylinder with a fixed contact line. Journal of Fluid Mechanics, 275, 285-299. (pdf)

Henderson, D. M., Hammack, J. L., Kumar, P., Shah, D. (1992) The effects of static contact angles on standing waves. The Physics of Fluids, A4, 2320-2322. (pdf)

Henderson, D. M., Larsson, I., Rao, Y. K., (1991) A study of wheat storage protein monolayers by Faraday wave damping. Langmuir, 7, 2731-2736. (pdf)

Henderson, D. M., Miles, J. W., (1991) Faraday waves in 2:1 internal resonance, Journal of Fluid Mechanics, 222, 449-470. (pdf)

Becker, J. M., Henderson, D. M., (1991) Experiments; an appendix to Standing radial crosswaves. (by Becker, J. J., Miles, J. W.) Journal of Fluid Mechanics, 222, 471. (pdf)

Henderson, D. M., Miles, J. W., (1990) Single-mode Faraday waves in small cylinders. Journal of Fluid Mechanics, 213, 95-109. (pdf)

Miles, J. W., Henderson, D. M., (1990) Parametrically forced surface waves. Annual Review Fluid Mechanics, 22, 143-165. (pdf)


Smolka, L.B., Belmonte, A., Henderson, D.M., Witelski, T.P., (2004) Exact solution for the extensional flow of a viscoelastic filament. European Journal of Applied Mathematics 15, 679-712. (pdf)

Henderson, D., Segur, H., Smolka, L. B., Wadati, M., (2000) The motion of falling liquid filaments. The Physics of Fluids, A12, 550-564. (pdf)

Henderson, D.M., Pritchard, W.G., Smolka, L.B., (1997) On the pinch-off of a pendant drop of viscous fluid. Physics of Fluids, 9. (pdf)

Spin up

Henderson, D. M., Lopez, J. M., Stewart, D. L., (1996) Vortex evolution in non- axisymmetric impulsive spin-up from rest. Journal of Fluid Mechanics, 324, 109-134. 3188-3200. (pdf)