Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 4713-4729 |
| Seitenumfang | 17 |
| Fachzeitschrift | Discrete and Continuous Dynamical Systems- Series A |
| Jahrgang | 39 |
| Ausgabenummer | 8 |
| Frühes Online-Datum | Mai 2019 |
| Publikationsstatus | Veröffentlicht - 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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Diskrete Mathematik und Kombinatorik
- Mathematik (insg.)
- Angewandte Mathematik
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: Discrete and Continuous Dynamical Systems- Series A, Jahrgang 39, Nr. 8, 08.2019, S. 4713-4729.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 -