On the solvability of models for two-phase flows of viscous incompressible fluid with shear-dependent viscosity

DOI10.1016/j.camwa.2014.05.012zbMath1369.76011OpenAlexW2091009777MaRDI QIDQ2398886

Changjia Wang

Publication date: 21 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.05.012

zbMATH Keywords

weak solutionexistenceincompressible viscous fluidshear-dependent viscosity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Viscous-inviscid interaction (76D09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the technique for passing to the limit in nonlinear elliptic equations
• New approach to the solvability of generalized Navier-Stokes equations
• Instability of two-phase flows: A lower bound on the dimension of the global attractor of the Cahn-Hilliard-Navier-Stokes system
• Analysis of a Cahn-Hilliard-Ladyzhenskaya system with singular potential
• Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity
• Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
• Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
• 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
• Computation of multiphase systems with phase field models.
• Conservative multigrid methods for Cahn--Hilliard fluids.
• The Neumann boundary problem for a nonlocal Cahn-Hilliard equation
• Calculation of two-phase Navier-Stokes flows using phase-field modeling
• A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
• The Dirichlet boundary problem for a nonlocal Cahn-Hilliard equation
• Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
• On non‐Newtonian incompressible fluids with phase transitions
• A theoretical and numerical model for the study of incompressible mixture flows

This page was built for publication: On the solvability of models for two-phase flows of viscous incompressible fluid with shear-dependent viscosity