Nonconvergence of the Capillary Stress Functional for Solutions of the Convective Cahn-Hilliard Equation

DOI10.1007/978-4-431-56457-7_1zbMath1371.35209OpenAlexW2558298279MaRDI QIDQ5278242

Stefan Schaubeck, Helmut Abels

Publication date: 13 July 2017

Published in: Mathematical Fluid Dynamics, Present and Future (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-56457-7_1

zbMATH Keywords

two-phase flowdiffuse interface modelsharp interface limitmodel H

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35)

Related Items (4)

On the mass-conserving Allen-Cahn approximation for incompressible binary fluids ⋮ Sharp Interface Limits for Diffuse Interface Models for Two-Phase Flows of Viscous Incompressible Fluids ⋮ Sharp interface limit for a Stokes/Allen-Cahn system ⋮ (Non)-convergence of solutions of the convective Allen-Cahn equation

Cites Work

• On sharp interface limits for diffuse interface models for two-phase flows
• Global asymptotic limit of solutions of the Cahn-Hilliard equation
• Existence of weak solutions for a diffuse interface model for viscous, incompressible fluids with general densities
• On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
• Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids
• Gewöhnliche Differentialgleichungen. Eine Einführung.
• Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
• Strong Well-posedness of a Diffuse Interface Model for a Viscous, Quasi-incompressible Two-phase Flow
• THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
• Mathematical modelling
• Analysis 2

This page was built for publication: Nonconvergence of the Capillary Stress Functional for Solutions of the Convective Cahn-Hilliard Equation