Global weak solutions to a diffuse interface model for incompressible two-phase flows with moving contact lines and different densities

DOI10.1007/s00205-019-01383-8zbMath1444.76001OpenAlexW2938785059WikidataQ128027493 ScholiaQ128027493MaRDI QIDQ2312633

Maurizio Grasselli, Ciprian G. Gal, Hao Wu

Publication date: 17 July 2019

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11311/1119087

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Diffusion (76R50) Multiphase and multicomponent flows (76T99) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)

Related Items (22)

On the strong solution of 3D non-isothermal Navier–Stokes–Cahn–Hilliard equations ⋮ Well-posedness of the two-dimensional Abels-Garcke-Grün model for two-phase flows with unmatched densities ⋮ On a nonlocal Cahn-Hilliard/Navier-Stokes system with degenerate mobility and singular potential for incompressible fluids with different densities ⋮ Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities ⋮ Global well-posedness and convergence to equilibrium for the Abels-Garcke-Grün model with nonlocal free energy ⋮ Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms ⋮ Allen-Cahn-Navier-Stokes-Voigt systems with moving contact lines ⋮ Multi-component Cahn-Hilliard systems with singular potentials: theoretical results ⋮ Two-phase flows with bulk-surface interaction: thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with dynamic boundary conditions ⋮ Existence and stability of strong solutions to the Abels-Garcke-Grün model in three dimensions ⋮ A review on the Cahn-Hilliard equation: classical results and recent advances in dynamic boundary conditions ⋮ Optimal distributed control of two-dimensional Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential ⋮ On well-posedness and large time behavior for smectic-a liquid crystals equations in \(\mathbb{R}^3\) ⋮ Weak and strong solutions to the nonhomogeneous incompressible Navier-Stokes-Cahn-Hilliard system ⋮ Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms ⋮ The Navier-Stokes-Cahn-Hilliard equations for mildly compressible binary fluid mixtures ⋮ Local well-posedness of a quasi-incompressible two-phase flow ⋮ Global weak solutions to a Navier–Stokes–Cahn–Hilliard system with chemotaxis and singular potential ⋮ Solvability and sliding mode control for the viscous Cahn-Hilliard system with a possibly singular potential ⋮ Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities ⋮ Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions ⋮ Weak and very weak solutions to the viscous Cahn-Hilliard-Oberbeck-Boussinesq phase-field system on two-dimensional bounded domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities
• A gradient stable scheme for a phase field model for the moving contact line problem
• Derivation of continuum models for the moving contact line problem based on thermodynamic principles
• Trajectory attractors for binary fluid mixtures in 3D
• Instability of two-phase flows: A lower bound on the dimension of the global attractor of the Cahn-Hilliard-Navier-Stokes system
• The Cahn-Hilliard equation with logarithmic potentials
• Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
• The role of surface diffusion in dynamic boundary conditions: where do we stand?
• The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions
• On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
• 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
• Compact sets in the space \(L^ p(0,T;B)\)
• Infinite-dimensional dynamical systems in mechanics and physics.
• Moving contact lines in the Cahn-Hilliard theory
• An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis
• On the derivation of thermodynamically consistent boundary conditions for the Cahn-Hilliard-Navier-Stokes system
• Calculation of two-phase Navier-Stokes flows using phase-field modeling
• Convergence to equilibrium for the Cahn-Hilliard equation with dynamic boundary conditions
• Comparison of energy stable simulation of moving contact line problems using a thermodynamically consistent Cahn-Hilliard Navier-Stokes model
• On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential
• Regularized family of models for incompressible Cahn-Hilliard two-phase flows
• Convergence to equilibrium for a phase-field model for the mixture of two viscous incompressible fluids
• On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility
• A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems
• Analysis of the Cahn-Hilliard equation with a relaxation boundary condition modeling the contact angle dynamics
• Diffuse interface model for incompressible two-phase flows with large density ratios
• Pullback exponential attractor for a Cahn-Hilliard-Navier-Stokes system in 2D
• Generalized Navier boundary condition for the moving contact line
• Cahn-Hilliard-Navier-Stokes systems with moving contact lines
• Global existence of weak solutions for a nonlocal model for two-phase flows of incompressible fluids with unmatched densities
• Weak solutions for a non-Newtonian diffuse interface model with different densities
• A DIFFUSE INTERFACE MODEL FOR ELECTROWETTING WITH MOVING CONTACT LINES
• 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
• Well-posedness of an isothermal diffusive model for binary mixtures of incompressible fluids
• Moving contact line on chemically patterned surfaces
• Boundary conditions for the moving contact line problem
• Sharp-interface limit of the Cahn–Hilliard model for moving contact lines
• Quasi–incompressible Cahn–Hilliard fluids and topological transitions
• Reciprocal Relations in Irreversible Processes. II.
• Contact-line dynamics of a diffuse fluid interface
• Thermodynamically consistent Navier–Stokes–Cahn–Hilliard models with mass transfer and chemotaxis
• Global solutions for the 2D NS–CH model for a two-phase flow of viscous, incompressible fluids with mixed partial viscosity and mobility
• Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions
• Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• On the motion of a fluid-fluid interface along a solid surface
• TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
• (In)compressibility and parameter identification in phase field models for capillary flows
• Energy stable numerical scheme for the viscous Cahn–Hilliard–Navier–Stokes equations with moving contact line
• Uniqueness and Regularity for the Navier--Stokes--Cahn--Hilliard System
• Continuum models for the contact line problem
• A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines
• A variational approach to moving contact line hydrodynamics
• Convergence to equilibrium for the semilinear parabolic equation with dynamical boundary condition
• Nonhomogeneous Cahn-Hilliard fluids
• A theoretical and numerical model for the study of incompressible mixture flows

This page was built for publication: Global weak solutions to a diffuse interface model for incompressible two-phase flows with moving contact lines and different densities