Details
| Original language | English |
|---|---|
| Pages (from-to) | 4713-4729 |
| Number of pages | 17 |
| Journal | Discrete and Continuous Dynamical Systems- Series A |
| Volume | 39 |
| Issue number | 8 |
| Early online date | May 2019 |
| Publication status | Published - Aug 2019 |
Abstract
Of concern are steady two-dimensional periodic geophysical water waves of small amplitude near the equator. The analysis presented here is based on the bifurcation theory due to Crandall-Rabinowitz. Dispersion relations for various choices of the vorticity distribution, including constant, affine, and some nonlinear vorticities are obtained.
Keywords
- Dispersion relation, Equatorial flows, Steady periodic water waves, Vorticity
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Applied Mathematics
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In: Discrete and Continuous Dynamical Systems- Series A, Vol. 39, No. 8, 08.2019, p. 4713-4729.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Steady periodic equatorial water waves with vorticity
AU - Chu, Jifeng
AU - Escher, Joachim
N1 - Funding information: 2010 Mathematics Subject Classification. Primary: 76B15, 35J60, 47J15, 76B03. Key words and phrases. Steady periodic water waves, equatorial flows, vorticity, dispersion relation. Jifeng Chu was supported by the Alexander von Humboldt-Stiftung of Germany, and the National Natural Science Foundation of China (Grants No. 11671118 and No. 11871273). The paper is for the special theme: Mathematical Aspects of Physical Oceanography, organized by Adrian Constantin. ? Corresponding author: Jifeng Chu.
PY - 2019/8
Y1 - 2019/8
N2 - Of concern are steady two-dimensional periodic geophysical water waves of small amplitude near the equator. The analysis presented here is based on the bifurcation theory due to Crandall-Rabinowitz. Dispersion relations for various choices of the vorticity distribution, including constant, affine, and some nonlinear vorticities are obtained.
AB - Of concern are steady two-dimensional periodic geophysical water waves of small amplitude near the equator. The analysis presented here is based on the bifurcation theory due to Crandall-Rabinowitz. Dispersion relations for various choices of the vorticity distribution, including constant, affine, and some nonlinear vorticities are obtained.
KW - Dispersion relation
KW - Equatorial flows
KW - Steady periodic water waves
KW - Vorticity
UR - http://www.scopus.com/inward/record.url?scp=85065788839&partnerID=8YFLogxK
U2 - 10.3934/dcds.2019191
DO - 10.3934/dcds.2019191
M3 - Article
AN - SCOPUS:85065788839
VL - 39
SP - 4713
EP - 4729
JO - Discrete and Continuous Dynamical Systems- Series A
JF - Discrete and Continuous Dynamical Systems- Series A
SN - 1078-0947
IS - 8
ER -