Spinodal decomposition for the cahn-hilliard equation

DOI10.1080/03605309308820937zbMath0788.35132OpenAlexW2107746395MaRDI QIDQ4203503

Christopher P. Grant

Publication date: 5 September 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309308820937

zbMATH Keywords

Cahn-Hilliard equationspinodal decompositionunstable homogeneous equilibrium

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Higher-order parabolic equations (35K25)

Related Items

Pattern formation in a nonlinear model for animal coats, Perturbation of doubly periodic solution branches with applications to the Cahn-Hilliard equation, Nonlinear dynamics of dewetting thin films, Steady states and dynamics of a thin-film-type equation with non-conserved mass, Studying the interphase zone in a certain singular-limit problem, An explicit adaptive finite difference method for the Cahn-Hilliard equation, High order finite element calculations for the Cahn-Hilliard equation, Pseudospectral meshless radial point interpolation for generalized biharmonic equation in the presence of Cahn-Hilliard conditions, Diagonalization based parallel-in-time method for a class of fourth order time dependent PDEs, Spectral analysis for periodic solutions of the Cahn-Hilliard equation on \(\mathbb R\), On the 3D Cahn-Hilliard equation with inertial term, Instability of two-phase flows: A lower bound on the dimension of the global attractor of the Cahn-Hilliard-Navier-Stokes system, Metastability and layer dynamics for the hyperbolic relaxation of the Cahn-Hilliard equation, Comparison study of the conservative Allen-Cahn and the Cahn-Hilliard equations, Asymptotic properties of stochastic Cahn-Hilliard equation with singular nonlinearity and degenerate noise, Finite pointset method for biharmonic equations, Periodic structures in a van der Waals fluid, Second phase spinodal decomposition for the Cahn-Hilliard-Cook equation, Mullins-Sekerka motion of small droplets on a fixed boundary, Gradient Dynamics: Motion Near a Manifold of Quasi-Equilibria, Stochastic Cahn-Hilliard equation with singular nonlinearity and reflection, Thermodynamic forces in single crystals with dislocations, On the 2D Cahn–Hilliard Equation with Inertial Term, Biological Aggregation Driven by Social and Environmental Factors: A Nonlocal Model and Its Degenerate Cahn--Hilliard Approximation, Maximum norms of random sums and transient pattern formation, Shock-fronted travelling waves in a reaction-diffusion model with nonlinear forward-backward-forward diffusion, Existence of solutions for a nonlinear algebraic system, Convergence of solutions to cahn-hilliard equation

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Structured phase transitions on a finite interval
• On the Cahn-Hilliard equation
• Infinite-dimensional dynamical systems in mechanics and physics.
• The gradient theory of phase transitions and the minimal interface criterion
• Asymptotic behavior of solution to the Cahn-Hillard equation
• Semilinear Evolution Equations in Banach Spaces with Application to Parabolic Partial Differential Equations
• Invariant manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item