Long time stability of a classical efficient scheme for an incompressible two-phase flow model

DOI10.3233/ASY-151325zbMath1382.76194arXiv1310.6993OpenAlexW1484982320MaRDI QIDQ5744770

Florentina Tone, Theodore Tachim-Medjo

Publication date: 19 February 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6993

zbMATH Keywords

semi-implicit schemelong-time stabilityincompressible two-phase flowdiscrete attractors

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35)

Related Items (7)

Strong solutions for the stochastic Cahn-Hilliard-Navier-Stokes system ⋮ On the convergence of a stochastic 3D globally modified two-phase flow model ⋮ Strong solutions for the stochastic Allen-Cahn-Navier-Stokes system ⋮ Long time \(\mathcal{H}_\alpha^s\) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity ⋮ On the weak solutions to a stochastic two-phase flow model ⋮ Longtime behavior of a semi-implicit scheme for Caginalp phase-field model ⋮ A note on the regularity of weak solutions to the coupled 2D Allen-Cahn-Navier-Stokes system

Cites Work

• Trajectory attractors for binary fluid mixtures in 3D
• On the long-time \(H ^{2}\)-stability of the implicit Euler scheme for the 2D magnetohydrodynamics equations
• Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
• Longtime behavior for a model of homogeneous incompressible two-phase flows
• Well-posedness and long-time behavior for a class of doubly nonlinear equations
• An analysis of a phase field model of a free boundary
• On attractors of multivalued semi-flows and differential inclusions
• Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
• Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
• Multivalued attractors and their approximation: applications to the Navier-Stokes equations
• Attractors for gradient flows of nonconvex functionals and applications
• APPROXIMATION OF THE STATIONARY STATISTICAL PROPERTIES OF THE DYNAMICAL SYSTEM GENERATED BY THE TWO-DIMENSIONAL RAYLEIGH–BÉNARD CONVECTION PROBLEM
• Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization
• ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
• H ^∞ –control theory of fluid dynamics
• Long time stability and convergence for fully discrete nonlinear galerkin methods
• On the Long-Time Stability of the Implicit Euler Scheme for the Two-Dimensional Navier--Stokes Equations

This page was built for publication: Long time stability of a classical efficient scheme for an incompressible two-phase flow model