On the motion of incompressible-medium particles in a domain with a periodically varying boundary
type: Item
instance of: scholarly article
title: On the motion of incompressible-medium particles in a domain with a periodically varying boundary
zbMATH Open document ID: 1032.76072
DOI: 10.1007/BF02698116
published in: Fluid Dynamics
publication date: 2004-03-12T00:00:00Z
review text: The problem of the motion of incompressible medium in a cavity under the action of a top boundary deformed in accordance with arbitrary periodic law is reduced to solving Hamilton equations. The Hamilton system averaging method and KAM theory are used to investigate the problems under consideration. It is shown that for the periodic boundary deformation of a thin layer of incompressible medium no mixing occurs.
Mathematics Subject Classification ID: 76T20
Mathematics Subject Classification ID: 37N10
zbMATH DE Number: 1592280
zbMATH Keywords: periodic top boundary deformation
zbMATH Keywords: cavity
zbMATH Keywords: KAM theory
zbMATH Keywords: mixing
zbMATH Keywords: thin layer
zbMATH Keywords: Hamilton system averaging method
MaRDI profile type: Publication
cites work: Plane viscoplastic flow in narrow channels with deformable walls
cites work: On averaging the Hamiltonian systems with the time-periodic Hamiltonian
cites work: Q3280274
author: A. G. Petrov
description: scientific article; zbMATH DE number 1592280