Details
| Original language | English |
|---|---|
| Pages (from-to) | 2932-2949 |
| Number of pages | 18 |
| Journal | Journal of Differential Equations |
| Volume | 251 |
| Issue number | 10 |
| Publication status | Published - 13 Apr 2011 |
Abstract
We use bifurcation theory to construct small periodic gravity stratified water waves with density which depends linearly upon the pseudostream function. As a special feature the density may also decrease with depth and the waves we obtain may posses two different critical layers with cat's eye vortices. Within the vortex, the density of the fluid has an extremum at the stagnation point.
Keywords
- Critical layers, Stagnation points, Stratified water waves, Streamlines
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Journal of Differential Equations, Vol. 251, No. 10, 13.04.2011, p. 2932-2949.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On stratified steady periodic water waves with linear density distribution and stagnation points
AU - Escher, Joachim
AU - Matioc, Anca Voichita
AU - Matioc, Bogdan-Vasile
PY - 2011/4/13
Y1 - 2011/4/13
N2 - We use bifurcation theory to construct small periodic gravity stratified water waves with density which depends linearly upon the pseudostream function. As a special feature the density may also decrease with depth and the waves we obtain may posses two different critical layers with cat's eye vortices. Within the vortex, the density of the fluid has an extremum at the stagnation point.
AB - We use bifurcation theory to construct small periodic gravity stratified water waves with density which depends linearly upon the pseudostream function. As a special feature the density may also decrease with depth and the waves we obtain may posses two different critical layers with cat's eye vortices. Within the vortex, the density of the fluid has an extremum at the stagnation point.
KW - Critical layers
KW - Stagnation points
KW - Stratified water waves
KW - Streamlines
UR - http://www.scopus.com/inward/record.url?scp=80051921851&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2011.03.023
DO - 10.1016/j.jde.2011.03.023
M3 - Article
AN - SCOPUS:80051921851
VL - 251
SP - 2932
EP - 2949
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 10
ER -