Details
| Original language | English |
|---|---|
| Pages (from-to) | 1602-1615 |
| Number of pages | 14 |
| Journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 370 |
| Issue number | 1964 |
| Publication status | Published - 13 Apr 2012 |
Abstract
Several recent results on the regularity of streamlines beneath a rotational travelling wave, along with the wave profile itself, will be discussed. The survey includes the classical water wave problem in both finite and infinite depth, capillary waves and solitary waves as well. A common assumption in all models to be discussed is the absence of stagnation points.
Keywords
- Analyticity, Capillarity, Implicit function theorem, Rotational flows, Vorticity, Water waves
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Engineering(all)
- General Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 370, No. 1964, 13.04.2012, p. 1602-1615.
Research output: Contribution to journal › Review article › Research › peer review
}
TY - JOUR
T1 - Regularity of rotational travelling water waves
AU - Escher, Joachim
PY - 2012/4/13
Y1 - 2012/4/13
N2 - Several recent results on the regularity of streamlines beneath a rotational travelling wave, along with the wave profile itself, will be discussed. The survey includes the classical water wave problem in both finite and infinite depth, capillary waves and solitary waves as well. A common assumption in all models to be discussed is the absence of stagnation points.
AB - Several recent results on the regularity of streamlines beneath a rotational travelling wave, along with the wave profile itself, will be discussed. The survey includes the classical water wave problem in both finite and infinite depth, capillary waves and solitary waves as well. A common assumption in all models to be discussed is the absence of stagnation points.
KW - Analyticity
KW - Capillarity
KW - Implicit function theorem
KW - Rotational flows
KW - Vorticity
KW - Water waves
UR - http://www.scopus.com/inward/record.url?scp=84858257923&partnerID=8YFLogxK
U2 - 10.1098/rsta.2011.0458
DO - 10.1098/rsta.2011.0458
M3 - Review article
AN - SCOPUS:84858257923
VL - 370
SP - 1602
EP - 1615
JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
SN - 1364-503X
IS - 1964
ER -