Longtime behavior of a semi-implicit scheme for Caginalp phase-field model
DOI10.1016/j.rinam.2021.100213zbMath1481.35363OpenAlexW3212324437MaRDI QIDQ2063308
Ben Mansour Dia, Mouhamadou Samsidy Goudiaby
Publication date: 11 January 2022
Published in: Results in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100213
Attractors (35B41) Stability in context of PDEs (35B35) Stefan problems, phase changes, etc. (80A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Some mathematical models in phase transition
- Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
- Longtime behavior for a model of homogeneous incompressible two-phase flows
- The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials
- An analysis of a phase field model of a free boundary
- Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
- Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model
- Convergence of exponential attractors for a time splitting approximation of the Caginalp phase-field system
- Long time behavior of solutions to the Caginalp system with singular potential
- A review of mathematical analysis of nematic and smectic-A liquid crystal models
- Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization
- Approximation of the phase-field transition system via fractional steps method
- Long time stability and convergence for fully discrete nonlinear galerkin methods
- CONVERGENCE TO EQUILIBRIUM FOR A TIME SEMI-DISCRETE DAMPED WAVE EQUATION
- Long-time stability of the implicit Euler scheme for a three dimensional globally modified two-phase flow model
- Long time stability of a classical efficient scheme for an incompressible two-phase flow model
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