Nonlinear stability of oscillatory core-annular flow: A generalized Kuramoto-Sivashinsky equation with time periodic coefficients
type: Item
instance of: scholarly article
title: Nonlinear stability of oscillatory core-annular flow: A generalized Kuramoto-Sivashinsky equation with time periodic coefficients
zbMATH Open document ID: 0819.76034
DOI: 10.1007/BF00952254
author: Adrian V. Coward
author: D. T. Papageorgiou
author: Y.-S. Smyrlis
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1995-06-11T00:00:00Z
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 76V05
zbMATH DE Number: 753646
zbMATH Keywords: two-phase flow
zbMATH Keywords: viscosity stratification
zbMATH Keywords: interfacial tension
zbMATH Keywords: Navier- Stokes equations
zbMATH Keywords: bifurcation
zbMATH Keywords: multiple scales asymptotics
zbMATH Keywords: oscillatory pressure gradient
zbMATH Keywords: constant pressure gradient
MaRDI profile type: Publication
cites work: Short wave instability of core-annular flow
cites work: Lubricated pipelining. Part 3 Stability of core-annular flow in vertical pipes
cites work: Q3948194
cites work: Integral manifolds and inertial manifolds for dissipative partial differential equations
cites work: On the nonlinear interfacial instability of rotating core-annular flow
cites work: Stability of oscillatory two-phase Couette flow
cites work: Q3769642
cites work: The transition to aperiodic behavior in turbulent systems
cites work: An asymptotic theory for the linear stability of a core–annular flow in the thin annular limit
cites work: The instability of an annular thread of fluid
cites work: Instability due to Viscosity and Density Stratification in Axisymmetric Pipe Flow
cites work: Long-wave instability at the interface between two viscous fluids: Thin layer effects
cites work: Shear-flow instability at the interface between two viscous fluids
cites work: Stability of core-annular flow with a small viscosity ratio
cites work: The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
cites work: Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
cites work: Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations
cites work: Fundamentals of two-fluid dynamics. Part II: Lubricated transport, drops and miscible liquids
cites work: Instability of the flow of two immiscible liquids with different viscosities in a pipe
cites work: Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
cites work: Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
cites work: Nonlinear interfacial stability of core-annular film flows
cites work: The route to chaos for the Kuramoto-Sivashinsky equation
cites work: Lubricated pipelining: stability of core-annular flow
cites work: Instability at the interface between two shearing fluids in a channel
cites work: The thin-layer effect and interfacial stability in a two-layer Couette flow with similar liquids
cites work: Predicting chaos for infinite dimensional dynamical systems: the Kuramoto-Sivashinsky equation, a case study.
cites work: Q3757572
cites work: Instability due to viscosity stratification
cites work: Instability of unsteady flows or configurations Part 1. Instability of a horizontal liquid layer on an oscillating plane
full work available at URL: https://doi.org/10.1007/bf00952254
OpenAlex ID: W1967955839
description: scientific article; zbMATH DE number 753646