Chaotic advection in Stokes flow in semicircle
type: Item
instance of: scholarly article
title: Chaotic advection in Stokes flow in semicircle
zbMATH Open document ID: 1049.37525
author: T. A. Dunaeva
author: V. V. Meleshko
published in: Regular and Chaotic Dynamics
publication date: 2004-09-06T00:00:00Z
review text: The two-dimensional Stokes flows due to a periodic motion of a circular and rectilinear boundary in a semicircle is considered. An exact analytical expression of the velocity field is given. The peculiarities of the velocity field and their influence on the motion of dye fluids in these domains are studied. Poincaré sections and trajectories of motion of passive fluid particles are calculated and analyzed for various regimes and values of the boundary velocities. The analysis of Poincaré sections reveals both zones of intensive (chaotic) and weak (regular) mixing of marked passive regions of fluid flow in the semicircle.
Mathematics Subject Classification ID: 37N10
Mathematics Subject Classification ID: 76F25
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76F20
zbMATH DE Number: 2097042
zbMATH Keywords: boundary value problem
zbMATH Keywords: periodic points
zbMATH Keywords: Poincaré section
MaRDI profile type: Publication
full work available at URL: rd2003v008n03abeh000246
OpenAlex ID: W4239505229
DOI: 10.1070/RD2003V008N03ABEH000246
description: scientific article; zbMATH DE number 2097042