Details
| Original language | English |
|---|---|
| Title of host publication | Elliptic and Parabolic Equations |
| Subtitle of host publication | Hannover, September 2013 |
| Place of Publication | Cham |
| Publisher | Springer International Publishing AG |
| Pages | 111-137 |
| Number of pages | 27 |
| ISBN (electronic) | 978-3-319-12547-3 |
| ISBN (print) | 978-3-319-12546-6 |
| Publication status | Published - 5 Jun 2015 |
| Event | International Workshop on Elliptic and Parabolic Equations, 2013 - Hannover, Germany Duration: 10 Sept 2013 → 12 Sept 2013 |
Abstract
The aim of this survey is to review some recent results concerning the regularity properties of two-dimensional rotational free-surface flows. It is shown that for large classes of vorticity distributions, the corresponding free water surface together with all streamlines beneath are real-analytic curves. The models considered here include, besides classical periodic water waves of finite depth, solitary waves, waves with infinite depth, capillary waves, and waves over stratified flows. It is also pointed out that the analyticity of the streamlines leads to an intrinsic characterization of symmetric solitary waves with one single crest.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
Elliptic and Parabolic Equations : Hannover, September 2013. Cham: Springer International Publishing AG, 2015. p. 111-137.
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Analyticity of Rotational Water Waves
AU - Escher, Joachim
AU - Matioc, Bogdan-Vasile
PY - 2015/6/5
Y1 - 2015/6/5
N2 - The aim of this survey is to review some recent results concerning the regularity properties of two-dimensional rotational free-surface flows. It is shown that for large classes of vorticity distributions, the corresponding free water surface together with all streamlines beneath are real-analytic curves. The models considered here include, besides classical periodic water waves of finite depth, solitary waves, waves with infinite depth, capillary waves, and waves over stratified flows. It is also pointed out that the analyticity of the streamlines leads to an intrinsic characterization of symmetric solitary waves with one single crest.
AB - The aim of this survey is to review some recent results concerning the regularity properties of two-dimensional rotational free-surface flows. It is shown that for large classes of vorticity distributions, the corresponding free water surface together with all streamlines beneath are real-analytic curves. The models considered here include, besides classical periodic water waves of finite depth, solitary waves, waves with infinite depth, capillary waves, and waves over stratified flows. It is also pointed out that the analyticity of the streamlines leads to an intrinsic characterization of symmetric solitary waves with one single crest.
UR - http://www.scopus.com/inward/record.url?scp=84931455365&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-12547-3_5
DO - 10.1007/978-3-319-12547-3_5
M3 - Conference contribution
AN - SCOPUS:84931455365
SN - 978-3-319-12546-6
SP - 111
EP - 137
BT - Elliptic and Parabolic Equations
PB - Springer International Publishing AG
CY - Cham
T2 - International Workshop on Elliptic and Parabolic Equations, 2013
Y2 - 10 September 2013 through 12 September 2013
ER -