On the motion of incompressible-medium particles in a domain with a periodically varying boundary
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.
scientific article; zbMATH DE number 1592280