Deep-water waves with vorticity: Symmetry and rotational behaviour

被引：11

作者：

Ehrnstrom, Mats ^{[1
]}

机构：

[1] Lund Univ, Ctr Math Sci, S-22100 Lund, Sweden

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2007年 / 19卷 / 03期

关键词：

symmetry; water waves; vorticity; nonlinear partial differential equation;

D O I：

10.3934/dcds.2007.19.483

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that for steady, periodic, and rotational gravity deep-water waves, a monotone surface profile between troughs and crests implies symmetry. It is observed that if the vorticity function has a bounded derivative, then it vanishes as one approaches great depths.

引用

页码：483 / 491

页数：9

共 50 条

[1] Global bifurcation theory of deep-water waves with vorticity
Hur, VM
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2006, 37 (05) : 1482 - 1521
[2] Symmetry of solitary water waves with vorticity
Hur, Vera Mikyoung
MATHEMATICAL RESEARCH LETTERS, 2008, 15 (2-3) : 491 - 509
[3] ON THE REGULARITY OF DEEP-WATER WAVES WITH GENERAL VORTICITY DISTRIBUTIONS
Matioc, Bogdan-Vasile
QUARTERLY OF APPLIED MATHEMATICS, 2012, 70 (02) : 393 - 405
[4] Symmetry of steady periodic water waves with vorticity
Hub, Vera Mikyoung
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2007, 365 (1858): : 2203 - 2214
[5] Regularity results for deep-water waves with Holder continuous vorticity
Matioc, Bogdan-Vasile
APPLICABLE ANALYSIS, 2013, 92 (10) : 2144 - 2151
[6] Regularity and symmetry properties of rotational solitary water waves
Matioc, Anca-Voichita
Matioc, Bogdan-Vasile
JOURNAL OF EVOLUTION EQUATIONS, 2012, 12 (02) : 481 - 494
[7] On the symmetry of equatorial travelling water waves with constant vorticity and stagnation points
Aivaliotis, Alexios
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 34 : 159 - 171
[8] Evolution of Spectral Distributions in Deep-Water Constant Vorticity Flows
Christopher W. Curtis
Mackensie Murphy
Water Waves, 2020, 2 : 361 - 380
[9] Evolution of Spectral Distributions in Deep-Water Constant Vorticity Flows
Curtis, Christopher W.
Murphy, Mackensie
WATER WAVES, 2020, 2 (02) : 361 - 380
[10] Linear water waves with vorticity:: Rotational features and particle paths
Ehmstroem, Mats
Villari, Gabriele
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (08) : 1888 - 1909

← 1 2 3 4 5 →