Models of two-phase fluid dynamics à la Allen-Cahn, Cahn-Hilliard, and \(\ldots\) Korteweg!

DOI10.5802/cml.24zbMath1353.76063OpenAlexW2327141144MaRDI QIDQ502289

Heinrich Freistühler, Matthias Kotschote

Publication date: 3 January 2017

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/cml.24

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs of mixed type (35M10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (3)

Dynamical Stability of Diffuse Phase Boundaries in Compressible Fluids ⋮ Phase-field and Korteweg-type models for the time-dependent flow of compressible two-phase fluids ⋮ Variational principles and nonequilibrium thermodynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mixing rules and the Navier-Stokes-Cahn-Hilliard equations for compressible heat-conductive fluids
• Phase-field and Korteweg-type models for the time-dependent flow of compressible two-phase fluids
• Liquid crystals with variable degree of orientation
• On the thermomechanics of interstitial working
• Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type
• Stability of subsonic planar phase boundaries in a van der Waals fluid
• Structure of Korteweg models and stability of diffuse interfaces
• Spectral analysis for travelling waves in compressible two-phase fluids of Navier-Stokes-Allen-Cahn type
• Phase transitions and traveling waves in compressible fluids
• Dynamics of Compressible Non-isothermal Fluids of Non-Newtonian Korteweg Type
• THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
• Quasi–incompressible Cahn–Hilliard fluids and topological transitions
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Strong solutions in the dynamical theory of compressible fluid mixtures
• On the well-posedness for the Euler-Korteweg model in several space dimensions
• Existence of solutions for compressible fluid models of Korteweg type

This page was built for publication: Models of two-phase fluid dynamics à la Allen-Cahn, Cahn-Hilliard, and \(\ldots\) Korteweg!