On the phase-field-crystal model with logarithmic nonlinear terms
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Publication:259758
DOI10.1007/s13398-015-0227-5zbMath1336.35086OpenAlexW2149932753MaRDI QIDQ259758
Publication date: 18 March 2016
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-015-0227-5
Initial-boundary value problems for higher-order parabolic equations (35K35) A priori estimates in context of PDEs (35B45) Semilinear parabolic equations (35K58)
Related Items
Higher-order anisotropic models in phase separation ⋮ Weak solutions and simulations to a square phase‐field crystal model with Neumann boundary conditions ⋮ Higher-Order Allen–Cahn Models with Logarithmic Nonlinear Terms ⋮ On a Class of Sixth-Order Cahn--Hilliard-Type Equations with Logarithmic Potential ⋮ Higher-order Cahn-Hilliard equations with dynamic boundary conditions ⋮ An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation ⋮ The Cahn-Hilliard equation and some of its variants
Cites Work
- Robust exponential attractors for the modified phase-field crystal equation
- A variational approach to a Cahn-Hilliard model in a domain with nonpermeable walls
- A sixth order Cahn-Hilliard type equation arising in oil-water-surfactant mixtures
- The Cahn-Hilliard equation with logarithmic potentials
- A Cahn-Hilliard equation with singular diffusion
- Global smooth solutions of the three-dimensional modified phase field crystal equation
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials
- The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions
- On a class of sixth order viscous Cahn-Hilliard type equations
- Nonlocal Cahn-Hilliard-Navier-Stokes systems with singular potentials
- Asymptotic behavior of a sixth-order Cahn-Hilliard system
- ATTRACTORS FOR A CAGINALP MODEL WITH A LOGARITHMIC POTENTIAL AND COUPLED DYNAMIC BOUNDARY CONDITIONS
- Well-posedness and long-time behavior for the modified phase-field crystal equation
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- On a Higher Order Convective Cahn--Hilliard-Type Equation
- Sixth-order Cahn–Hilliard equations with singular nonlinear terms
- Dynamics of fluctuations and spinodal decomposition in polymer blends
- A new phase-field model for strongly anisotropic systems
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems
- Global Weak Solutions to a Sixth Order Cahn--Hilliard Type Equation
- On a Class of Cahn--Hilliard Models with Nonlinear Diffusion
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Sixth-order Cahn-Hilliard systems with dynamic boundary conditions
