TY - JOUR
T1 - Global bifurcation of capillary-gravity-stratified water waves
AU - Henry, David
AU - Matioc, Anca Vocihita
PY - 2014/8
Y1 - 2014/8
N2 - We study steady periodic water waves with variable vorticity and density, where we allow for stagnation points in the flow, and where we admit the capillarity effects of surface tension. Using global bifurcation theory, we extend a local curve of non-trivial solutions of the governing equations to a global continuum of solutions. Furthermore, we obtain a description of the behaviour of the solutions along this continuum.
AB - We study steady periodic water waves with variable vorticity and density, where we allow for stagnation points in the flow, and where we admit the capillarity effects of surface tension. Using global bifurcation theory, we extend a local curve of non-trivial solutions of the governing equations to a global continuum of solutions. Furthermore, we obtain a description of the behaviour of the solutions along this continuum.
UR - https://www.scopus.com/pages/publications/84904997007
U2 - 10.1017/S0308210512001990
DO - 10.1017/S0308210512001990
M3 - Article
AN - SCOPUS:84904997007
SN - 0308-2105
VL - 144
SP - 775
EP - 786
JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics
JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics
IS - 4
ER -