Symmetry of steady periodic surface water waves with vorticity

authored by

Adrian Constantin, Joachim Escher

Abstract

For large classes of vorticities we prove that a steady periodic gravity water wave with a monotonic profile between crests and troughs must be symmetric. The analysis uses sharp maximum principles for elliptic partial differential equations.

Organisation(s)

Institute of Applied Mathematics

External Organisation(s)

Lund University

Type

Article

Journal

Journal of Fluid Mechanics

Pages

171-181

No. of pages

11

ISSN

0022-1120

Publication date

10.01.2004

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Condensed Matter Physics, Mechanics of Materials, Mechanical Engineering

Electronic version(s)

https://doi.org/10.1017/S0022112003006773 (Access: Unknown)
https://doi.org/10.15488/2705 (Access: Open)