Global bifurcation of capillary-gravity-stratified water waves

David Henry; Anca Vocihita Matioc

doi:10.1017/S0308210512001990

Global bifurcation of capillary-gravity-stratified water waves

David Henry
, Anca Vocihita Matioc

School of Mathematical Sciences

University of Vienna

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	775-786
Number of pages	12
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	144
Issue number	4
DOIs	https://doi.org/10.1017/S0308210512001990
Publication status	Published - Aug 2014

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https://hdl.handle.net/10468/12158Licence: CC BY-NC-ND

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title = "Global bifurcation of capillary-gravity-stratified water waves",

abstract = "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.",

author = "David Henry and Matioc, \{Anca Vocihita\}",

year = "2014",

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AU - Matioc, Anca Vocihita

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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

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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 -

Global bifurcation of capillary-gravity-stratified water waves

Abstract

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