Article 239

Title of the article

ON STABILITY OF BRANCHING SOLUTION OF THE PROBLEM OF SURFACE WAVES ON HORIZONTAL INTERFACE OF TWO LIQUIDS, ONE OF WHICH OCCUPIES SEMISPACE

Authors

Andronov Artem Nikolaevich, Post graduate student, Mordovia State University named after N. P. Ogarev (Saransk), arbox@inbox.ru

Index UDK

517.988.67

Abstract

Potential flows of two immiscible incompressible fluids in a spatial layer with an interface close to the horizontal plane bifurcating from the basis flows V1 and Vand in Ox-direction in case the lower (the heavier) fluid occupies a half-space are considered. Their orbital stability relative to perturbations with the same symmetry is investigated. Group analysis methods in bifurcation theory under the group invariance conditions are applied.

Key words

two-layer fluid, capillary-gravity waves, bifurcation, stability, group symmetry.

Download PDF

 

Дата создания: 11.07.2014 09:52
Дата обновления: 11.07.2014 11:07