Nonlinear stability of oscillatory core-annular flow: A generalized Kuramoto-Sivashinsky equation with time periodic coefficients

DOI10.1007/BF00952254zbMath0819.76034OpenAlexW1967955839MaRDI QIDQ1805088

Demetrios T. Papageorgiou, Adrian V. Coward, Yiorgos-Sokratis Smyrlis

Publication date: 11 June 1995

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00952254

zbMATH Keywords

bifurcationtwo-phase flowNavier- Stokes equationsconstant pressure gradientinterfacial tensionoscillatory pressure gradientviscosity stratificationmultiple scales asymptotics

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Reaction effects in flows (76V05) Parallel shear flows in hydrodynamic stability (76E05)

Related Items

Effect of pulsations on two-layer channel flow ⋮ Linearized Stability of Partial Differential Equations with Application to Stabilization of the Kuramoto--Sivashinsky Equation ⋮ Well- and ill-posedness for a class of the \(3D\)-generalized Kuramoto-Sivashinsky equations ⋮ Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation ⋮ Long-time behavior of the difference solutions to the 2D GKS equation ⋮ Chaotic transitions in magnetic fluids ⋮ Analyticity for a class of non-linear evolutionary pseudo-differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The route to chaos for the Kuramoto-Sivashinsky equation
• Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations
• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
• Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
• The transition to aperiodic behavior in turbulent systems
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Fundamentals of two-fluid dynamics. Part II: Lubricated transport, drops and miscible liquids
• On the nonlinear interfacial instability of rotating core-annular flow
• Stability of core-annular flow with a small viscosity ratio
• Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
• Shear-flow instability at the interface between two viscous fluids
• The instability of an annular thread of fluid
• Nonlinear interfacial stability of core-annular film flows
• Lubricated pipelining. Part 3 Stability of core-annular flow in vertical pipes
• Instability of the flow of two immiscible liquids with different viscosities in a pipe
• Long-wave instability at the interface between two viscous fluids: Thin layer effects
• Instability at the interface between two shearing fluids in a channel
• The thin-layer effect and interfacial stability in a two-layer Couette flow with similar liquids
• Short wave instability of core-annular flow
• An asymptotic theory for the linear stability of a core–annular flow in the thin annular limit
• Predicting chaos for infinite dimensional dynamical systems: the Kuramoto-Sivashinsky equation, a case study.
• Stability of oscillatory two-phase Couette flow
• Lubricated pipelining: stability of core-annular flow
• Instability due to viscosity stratification
• Instability of unsteady flows or configurations Part 1. Instability of a horizontal liquid layer on an oscillating plane
• Instability due to Viscosity and Density Stratification in Axisymmetric Pipe Flow