Symmetry of steady periodic water waves with vorticity-Reference-Cited by-同舟云学术

Symmetry of steady periodic water waves with vorticity

Published:2007-03-13 Issue:1858 Volume:365 Page:2203-2214
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Mikyoung Hur Vera¹

Affiliation:

1. Massachusetts Institute of Technology, Department of MathematicsCambridge, MA 02139-4307, USA

Abstract

The symmetry and monotonicity properties of steady periodic gravity water waves are established for arbitrary vorticities if the wave profile is monotone near the trough and every streamline attains a minimum below the trough. The proof uses the method of moving planes.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2007.2002

Reference16 articles.

1. Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations

2. The Sub-Harmonic Bifurcation of Stokes Waves

3. Symmetry of steady periodic surface water waves with vorticity

4. Symmetry of steady deep-water waves with vorticity

5. Exact periodic traveling water waves with vorticity

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