Steady periodic waves bifurcating for fixed-depth rotational flows

David Henry

doi:10.1090/S0033-569X-2013-01293-8

Steady periodic waves bifurcating for fixed-depth rotational flows

David Henry

Dublin City University

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

Abstract

We consider steady periodic water waves for rotational flows with a specified fixed depth over a flat bed. We construct a modified height function, which explicitly introduces the mean depth into the rotational water wave problem, and use the Crandall-Rabinowitz local bifurcation theorem to establish the existence of solutions of the resulting problem.

Original language	English
Pages (from-to)	455-487
Number of pages	33
Journal	Quarterly of Applied Mathematics
Volume	71
Issue number	3
DOIs	https://doi.org/10.1090/S0033-569X-2013-01293-8
Publication status	Published - 2013
Externally published	Yes

Keywords

Fixed-depth flows
Local-bifurcation
Steady periodic waves
Vorticity

Access to Document

10.1090/S0033-569X-2013-01293-8

Cite this

@article{112e5c3ce360405fbe4700628b1a83ca,

title = "Steady periodic waves bifurcating for fixed-depth rotational flows",

abstract = "We consider steady periodic water waves for rotational flows with a specified fixed depth over a flat bed. We construct a modified height function, which explicitly introduces the mean depth into the rotational water wave problem, and use the Crandall-Rabinowitz local bifurcation theorem to establish the existence of solutions of the resulting problem.",

keywords = "Fixed-depth flows, Local-bifurcation, Steady periodic waves, Vorticity",

author = "David Henry",

year = "2013",

doi = "10.1090/S0033-569X-2013-01293-8",

language = "English",

volume = "71",

pages = "455--487",

journal = "Quarterly of Applied Mathematics",

issn = "0033-569X",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Steady periodic waves bifurcating for fixed-depth rotational flows

AU - Henry, David

PY - 2013

Y1 - 2013

N2 - We consider steady periodic water waves for rotational flows with a specified fixed depth over a flat bed. We construct a modified height function, which explicitly introduces the mean depth into the rotational water wave problem, and use the Crandall-Rabinowitz local bifurcation theorem to establish the existence of solutions of the resulting problem.

AB - We consider steady periodic water waves for rotational flows with a specified fixed depth over a flat bed. We construct a modified height function, which explicitly introduces the mean depth into the rotational water wave problem, and use the Crandall-Rabinowitz local bifurcation theorem to establish the existence of solutions of the resulting problem.

KW - Fixed-depth flows

KW - Local-bifurcation

KW - Steady periodic waves

KW - Vorticity

UR - https://www.scopus.com/pages/publications/84884959936

U2 - 10.1090/S0033-569X-2013-01293-8

DO - 10.1090/S0033-569X-2013-01293-8

M3 - Article

AN - SCOPUS:84884959936

SN - 0033-569X

VL - 71

SP - 455

EP - 487

JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

IS - 3

ER -

Steady periodic waves bifurcating for fixed-depth rotational flows

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this