On the streamlines and particle paths of gravitational water waves

Mats Ehrnström

doi:10.1088/0951-7715/21/5/012

On the streamlines and particle paths of gravitational water waves

Mats Ehrnström

Mathematics (Faculty of Sciences)

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate steady symmetric gravity water waves on finite depth. For nonpositive vorticity it is shown that the particles display a mean forward drift, and for a class of waves we prove that the size of this drift is strictly increasing from bottom to surface. This includes the case of particles within irrotational waves. We also provide detailed information concerning the streamlines and the particle trajectories.

Original language	English
Pages (from-to)	1141-1154
Journal	Nonlinearity
Volume	21
Issue number	5
DOIs	https://doi.org/10.1088/0951-7715/21/5/012
Publication status	Published - 2008

Subject classification (UKÄ)

Mathematics

Free keywords

PERIODIC CAPILLARY
GRAVITY-WAVES
STOKES WAVES
VORTICITY
TRAJECTORIES
PRINCIPLE
SYMMETRY

Access to Document

10.1088/0951-7715/21/5/012

http://www.iop.org/EJ/article/0951-7715/21/5/012/non8_5_012.pdf?request-id=6eb7ce5a-eb77-41b5-8304-d371e9345153

1 Doctoral Thesis (compilation)

On Steady Water Waves and Their Properties
Ehrnström, M., 2008, KFS AB. 96 p.
Research output: Thesis › Doctoral Thesis (compilation)

File

Cite this

@article{4c87fa2b993741ac907b17d80d4bb00d,

title = "On the streamlines and particle paths of gravitational water waves",

abstract = "We investigate steady symmetric gravity water waves on finite depth. For nonpositive vorticity it is shown that the particles display a mean forward drift, and for a class of waves we prove that the size of this drift is strictly increasing from bottom to surface. This includes the case of particles within irrotational waves. We also provide detailed information concerning the streamlines and the particle trajectories.",

keywords = "PERIODIC CAPILLARY, GRAVITY-WAVES, STOKES WAVES, VORTICITY, TRAJECTORIES, PRINCIPLE, SYMMETRY",

author = "Mats Ehrnstr{\"o}m",

year = "2008",

doi = "10.1088/0951-7715/21/5/012",

language = "English",

volume = "21",

pages = "1141--1154",

journal = "Nonlinearity",

issn = "0951-7715",

publisher = "London Mathematical Society / IOP Science",

number = "5",

}

TY - JOUR

T1 - On the streamlines and particle paths of gravitational water waves

AU - Ehrnström, Mats

PY - 2008

Y1 - 2008

N2 - We investigate steady symmetric gravity water waves on finite depth. For nonpositive vorticity it is shown that the particles display a mean forward drift, and for a class of waves we prove that the size of this drift is strictly increasing from bottom to surface. This includes the case of particles within irrotational waves. We also provide detailed information concerning the streamlines and the particle trajectories.

AB - We investigate steady symmetric gravity water waves on finite depth. For nonpositive vorticity it is shown that the particles display a mean forward drift, and for a class of waves we prove that the size of this drift is strictly increasing from bottom to surface. This includes the case of particles within irrotational waves. We also provide detailed information concerning the streamlines and the particle trajectories.

KW - PERIODIC CAPILLARY

KW - GRAVITY-WAVES

KW - STOKES WAVES

KW - VORTICITY

KW - TRAJECTORIES

KW - PRINCIPLE

KW - SYMMETRY

U2 - 10.1088/0951-7715/21/5/012

DO - 10.1088/0951-7715/21/5/012

M3 - Article

SN - 0951-7715

VL - 21

SP - 1141

EP - 1154

JO - Nonlinearity

JF - Nonlinearity

IS - 5

ER -

On the streamlines and particle paths of gravitational water waves

Abstract

Subject classification (UKÄ)

Free keywords

Access to Document

Fingerprint

Research output

On Steady Water Waves and Their Properties

Cite this