Navier-Stokes/Allen-Cahn system with generalized Navier boundary condition

DOI10.1007/s10255-022-1068-7zbMath1485.35318OpenAlexW4210696818MaRDI QIDQ2115220

Ya-zhou Chen, Bin Huang, Qiao-lin He, Xiao-ding Shi

Publication date: 15 March 2022

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-022-1068-7

zbMATH Keywords

Navier-Stokes equationsmoving contact linesAllen-Cahn equationNavier boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Multiphase and multicomponent flows (76T99) Navier-Stokes equations (35Q30) Strong solutions to PDEs (35D35) Compressible Navier-Stokes equations (76N06)

Related Items (1)

Global existence and optimal time decay rates of 3D non-isentropic compressible Navier-Stokes-Allen-Cahn system

Cites Work

• Unnamed Item
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• On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynamic framework
• Asymptotic stability of periodic solution for compressible viscous van der Waals fluids
• A dynamic theory for contact angle hysteresis on chemically rough boundary
• The sharp interface limit of a phase field model for moving contact problem
• On local motion of a compressible barotropic viscous fluid with the boundary slip condition
• Asymptotic stability of solutions for 1-D compressible Navier-Stokes-Cahn-Hilliard system
• Numerical study of phase transition in van der Waals fluid
• Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type
• Global existence of weak solution to compressible Navier-Stokes/Allen-Cahn system in three dimensions
• Vanishing viscosity for non-isentropic gas dynamics with interacting shocks
• Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D
• On 3D Lagrangian Navier-Stokes \(\alpha\) model with a class of vorticity-slip boundary conditions
• Global large solutions for a coupled compressible Navier-Stokes/Allen-Cahn system with initial vacuum
• Analysis of the Cahn-Hilliard equation with a relaxation boundary condition modeling the contact angle dynamics
• On the global well-posedness for the compressible Navier-Stokes equations with slip boundary condition
• Phase-Field Modeling and Simulation of the Zone Melting Purification Process
• Analysis of Wetting and Contact Angle Hysteresis on Chemically Patterned Surfaces
• On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
• Front migration in the nonlinear Cahn-Hilliard equation
• Moving contact line on chemically patterned surfaces
• ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
• Quasi–incompressible Cahn–Hilliard fluids and topological transitions
• On Nonstationary Motion of a Compressible Barotropic Viscous Fluid with Boundary Slip Condition
• Reciprocal Relations in Irreversible Processes. II.
• On global motion of a compressible barotropic viscous fluid with boundary slip condition
• 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
• On the motion of a fluid-fluid interface along a solid surface
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• A variational approach to moving contact line hydrodynamics
• Symmetry Properties of Positive Solutions of Parabolic Equations on ℝ^N: I. Asymptotic Symmetry for the Cauchy Problem

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