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Chu, J.; Escher, J.: Variational formulations of steady rotational equatorial waves. In: Advances in Nonlinear Analysis 10 (2020), Nr. 1, S. 534-547. DOI: https://doi.org/10.1515/anona-2020-0146
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Sum total of downloads: 79
| Abstract: | |
When the vorticity is monotone with depth, we present a variational formulation for steady periodic water waves of the equatorial flow in the f-plane approximation, and show that the governing equations for this motion can be obtained by studying variations of a suitable energy functional -in terms of the stream function and the thermocline. We also compute the second variation of the constrained energy functional, which is related to the linear stability of steady water waves. © 2021 Jifeng Chu and Joachim Escher, published by De Gruyter 2021. | |
| License of this version: | CC BY 4.0 Unported |
| Document Type: | Article |
| Publishing status: | publishedVersion |
| Issue Date: | 2020 |
| Appears in Collections: | Fakultät für Mathematik und Physik |
distribution of downloads over the selected time period:
downloads by country:
| pos. | country | downloads | ||
|---|---|---|---|---|
| total | perc. | |||
| 1 |  |
Germany | 37 | 46.84% |
| 2 |  |
United States | 17 | 21.52% |
| 3 |  |
China | 7 | 8.86% |
| 4 |  |
Greece | 3 | 3.80% |
| 5 |  |
Switzerland | 3 | 3.80% |
| 6 |  |
Vietnam | 2 | 2.53% |
| 7 |  |
Ireland | 2 | 2.53% |
| 8 |  |
United Kingdom | 2 | 2.53% |
| 9 |  |
Netherlands | 1 | 1.27% |
| 10 |  |
Canada | 1 | 1.27% |
| other countries | 4 | 5.06% | ||
Further download figures and rankings:
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