Global spherically symmetric solutions for a coupled compressible Navier-Stokes/Allen-Cahn system
DOI10.1007/s10114-024-3399-0zbMath1547.35505MaRDI QIDQ6607094
Yuan Yuan Wang, Chang Ming Song, Jian Lin Zhang
Publication date: 18 September 2024
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Navier-Stokes equationsglobal solutionsAllen-Cahn equationdiffuse interface modelspherically symmetry
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Symmetries, invariants, etc. in context of PDEs (35B06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Classical solutions to PDEs (35A09) Liquid-liquid two component flows (76T06)
Cites Work
- Unnamed Item
- Diffuse interface surface tension models in an expanding flow
- On the existence and uniqueness of solution to a stochastic 2D Cahn-Hilliard-Navier-Stokes model
- 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
- Vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn system
- Strong solutions for an incompressible Navier-Stokes/Allen-Cahn system with different densities
- Compressible hydrodynamic flow of liquid crystals in 1-D
- Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
- Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
- On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
- Isogeometric analysis of the Navier-Stokes-Cahn-Hilliard equations with application to incompressible two-phase flows
- Convergence of the solution of the stochastic 3D globally modified Cahn-Hilliard-Navier-Stokes equations
- Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type
- Time-periodic solution to the compressible Navier-Stokes/Allen-Cahn system
- Blow-up criterion and the global existence of strong/classical solutions to Navier-Stokes/Allen-Cahn system
- Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D
- An adaptive mesh redistribution method for the incompressible mixture flows using phase-field model
- Global large solutions for a coupled compressible Navier-Stokes/Allen-Cahn system with initial vacuum
- Axisymmetric Solutions to Coupled Navier–Stokes/Allen–Cahn Equations
- An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and Challenges
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- On a diffuse interface model for a two-phase flow of compressible viscous fluids
- On the existence of a solution for a model of stem cell differentiation
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- Regularity of solutions to 1D compressible Navier–Stokes–Allen–Cahn system
- Global strong solution to a thermodynamic compressible diffuse interface model with temperature‐dependent heat conductivity in 1D
- Spherically Symmetric Solutions for a Coupled Compressible Navier-Stokes/Allen-Cahn System
- Uniqueness and Regularity for the Navier--Stokes--Cahn--Hilliard System
- Strong solutions to 1D compressible Navier‐Stokes/Allen‐Cahn system with free boundary
- Strong solutions in the dynamical theory of compressible fluid mixtures
- A theoretical and numerical model for the study of incompressible mixture flows
This page was built for publication: Global spherically symmetric solutions for a coupled compressible Navier-Stokes/Allen-Cahn system