Year: 2026
Type: article
Abstract: The small perturbations evolution of two layers joint motion of ideal incompressible fluids on a solid substrate is studied. It is shown that the linearized problem in Lagrangian coordinates allows for the separation of variables. A system of amplitude equations is obtained, which contains two Weber numbers, the ratio of densities and initial layer thicknesses, as well as dimensionless wave numbers. The presented results of the asymptotic and numerical analysis of the amplitude equations indicate the stability of the layers motion
Authors: Andreev, Viktor K., Андреев, Виктор К.
Institution: Institute of Computational Modeling
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7128101544
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