Details
| Original language | English |
|---|---|
| Article number | 91 |
| Journal | Journal of Mathematical Fluid Mechanics |
| Volume | 23 |
| Issue number | 4 |
| Early online date | 20 Aug 2021 |
| Publication status | Published - 4 Nov 2021 |
Abstract
We present a variational formulation for steady periodic water waves in two-layer flows by showing that critical points of a natural energy functional are solutions to the governing equations derived from first principles. We also compute the second variation of the functional.
Keywords
- Rotational water waves, Steady periodic waves, Two-layer flow, Variational formulation
ASJC Scopus subject areas
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal of Mathematical Fluid Mechanics, Vol. 23, No. 4, 91, 04.11.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Variational Formulation of Rotational Steady Water Waves in Two-Layer Flows
AU - Chu, Jifeng
AU - Ding, Qixing
AU - Escher, Joachim
N1 - Funding Information: Jifeng Chu was supported by the National Natural Science Foundation of China (Grants No. 12071296 and No. 11871273) and by Science and Technology Innovation Plan of Shanghai (Grant No. 20JC1414200).
PY - 2021/11/4
Y1 - 2021/11/4
N2 - We present a variational formulation for steady periodic water waves in two-layer flows by showing that critical points of a natural energy functional are solutions to the governing equations derived from first principles. We also compute the second variation of the functional.
AB - We present a variational formulation for steady periodic water waves in two-layer flows by showing that critical points of a natural energy functional are solutions to the governing equations derived from first principles. We also compute the second variation of the functional.
KW - Rotational water waves
KW - Steady periodic waves
KW - Two-layer flow
KW - Variational formulation
UR - http://www.scopus.com/inward/record.url?scp=85113188632&partnerID=8YFLogxK
U2 - 10.1007/s00021-021-00616-9
DO - 10.1007/s00021-021-00616-9
M3 - Article
AN - SCOPUS:85113188632
VL - 23
JO - Journal of Mathematical Fluid Mechanics
JF - Journal of Mathematical Fluid Mechanics
SN - 1422-6928
IS - 4
M1 - 91
ER -