Skip to main content
SpringerLink
Log in

Particle Trajectories in Linear Water Waves

  • Published:
Journal of Mathematical Fluid Mechanics Aims and scope Submit manuscript

Abstract.

We prove that in linear periodic gravity water waves there are no closed orbits for the water particles in the fluid. Each particle experiences per period a backward-forward motion that leads overall to a forward drift.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. School of Mathematics, Trinity College, Dublin 2, Ireland

    Adrian Constantin

  2. Department of Mathematics, Lund University, P.O. Box 118, 22100, Lund, Sweden

    Adrian Constantin

  3. Dipartimento di Matematica, viale Morgagni 67/A, 50134, Firenze, Italy

    Gabriele Villari

Authors
  1. Adrian Constantin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gabriele Villari
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Adrian Constantin.

Additional information

Communicated by D. H. Sattinger

This paper was written while both authors participated in the program “Wave Motion” at the Mittag-Leffler Institute, Stockholm, in the Fall of 2005.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Constantin, A., Villari, G. Particle Trajectories in Linear Water Waves. J. math. fluid mech. 10, 1–18 (2008). https://doi.org/10.1007/s00021-005-0214-2

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00021-005-0214-2

Mathematics Subject Classification (2000).

Keywords.

Search

Navigation