Two-phase flows with bulk-surface interaction: thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with dynamic boundary conditions
DOI10.1007/s00021-023-00811-wzbMath1529.35383arXiv2208.09695MaRDI QIDQ6134790
Publication date: 25 July 2023
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.09695
dynamic boundary conditionstwo-phase flowsNavier-Stokes-Cahn-Hilliard systembulk-surface interaction
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Liquid-liquid two component flows (76T06)
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Cites Work
- Unnamed Item
- Unnamed Item
- Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
- Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities
- A variational approach to a Cahn-Hilliard model in a domain with nonpermeable walls
- Phase-field and Korteweg-type models for the time-dependent flow of compressible two-phase fluids
- A Cahn-Hilliard model in a domain with non-permeable walls
- On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework
- Well-posedness of the two-dimensional Abels-Garcke-Grün model for two-phase flows with unmatched densities
- Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
- On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
- Infinite-dimensional dynamical systems in mechanics and physics.
- An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- Universal attractor for some singular phase transition systems
- Long-time dynamics of the Cahn-Hilliard equation with kinetic rate dependent dynamic boundary conditions
- Local well-posedness of a quasi-incompressible two-phase flow
- On second-order and fourth-order elliptic systems consisting of bulk and surface PDEs: well-posedness, regularity theory and eigenvalue problems
- Long-time behavior of the Cahn-Hilliard equation with dynamic boundary condition
- On a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition and its approximation by a Robin boundary condition
- Global weak solutions to a diffuse interface model for incompressible two-phase flows with moving contact lines and different densities
- On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility
- Diffuse interface model for incompressible two-phase flows with large density ratios
- On continuity of functions with values in various Banach spaces
- Cahn-Hilliard-Navier-Stokes systems with moving contact lines
- On the nonlocal Cahn-Hilliard equation with nonlocal dynamic boundary condition and boundary penalization
- 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
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- 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
- Parametric finite element approximations of curvature-driven interface evolutions
- The phase field method for geometric moving interfaces and their numerical approximations
- A Cahn–Hilliard model in bounded domains with permeable walls
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- Diffuse-interface two-phase flow models with different densities: A new quasi-incompressible form and a linear energy-stable method
- Mass and Volume Conservation in Phase Field Models for Binary Fluids
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- Phase-field dynamics with transfer of materials: The Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions
- The Cahn–Hilliard Equation: Recent Advances and Applications
- Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach
- Uniqueness and Regularity for the Navier--Stokes--Cahn--Hilliard System
- A variational approach to moving contact line hydrodynamics
- Finite element methods for surface PDEs
- Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions
- Phase separation in confined geometries: Solving the Cahn-Hilliard equation with generic boundary conditions
- A theoretical and numerical model for the study of incompressible mixture flows