Instability of capillary waves in free thin films
type: Item
instance of: scholarly article
title: Instability of capillary waves in free thin films
zbMATH Open document ID: 0918.76026
author: N. R. Sibgatullin
author: A. N. Sibgatullina
published in: Moscow University Mechanics Bulletin
publication date: 1999-01-14T00:00:00Z
review text: For the description of waves in a thin film, the authors construct the Hamiltonian of asymptotically nonlinear system of equations. Moreover, no restrictions are imposed on the deviation of the film middle surface from the unperturbed one. The authors investigate the stability of pure capillary exact periodic solutions of this system.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76B45
zbMATH DE Number: 1240196
zbMATH Keywords: asymptotically nonlinear system of equations
zbMATH Keywords: pure capillary periodic solutions
zbMATH Keywords: surface tension
zbMATH Keywords: asymptotic study of eigenvalues
zbMATH Keywords: monodromy matrix
zbMATH Keywords: nondiagonalizable Hamiltonian system
zbMATH Keywords: Lyapunov-Floquet exponents
reviewed by: A. A. Martynyuk
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1240196