On the existence of steady periodic capillary-gravity stratified water waves
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 12 (2013) no. 4, pp. 955-974.

We prove the existence of small steady periodic capillary-gravity water waves for stratified flows, where we allow for stagnation points in the flow. We establish the existence of both laminar and non-laminar flow solutions for the governing equations. This is achieved using bifurcation theory and estimates based on the ellipticity of the system, where we regard, in turn, the mass-flux and surface tension as bifurcation parameters.

Publié le :
Classification : 35Q35, 76B70, 76B47
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     title = {On the existence of steady periodic capillary-gravity stratified water waves},
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Henry, David; Matioc, Bogdan-Vasile. On the existence of steady periodic capillary-gravity stratified water waves. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 12 (2013) no. 4, pp. 955-974. http://www.numdam.org/item/ASNSP_2013_5_12_4_955_0/

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