On an application of Tikhonov's fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation
DOI10.1016/j.jde.2016.02.011zbMath1335.35100arXiv1511.04361OpenAlexW2775851025MaRDI QIDQ267473
Pierluigi Colli, Gianni Gilardi, Juergen Sprekels
Publication date: 8 April 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.04361
initial-boundary value problemCahn-Hilliard systemphase separationsingular potentialsnonlocal energyTikhonov's fixed point theorem
Integro-partial differential equations (45K05) Stefan problems, phase changes, etc. (80A22) Fixed-point theorems (47H10) Second-order parabolic systems (35K40) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Longtime behavior of nonlocal Cahn-Hilliard equations
- Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity
- A vanishing diffusion limit in a nonstandard system of phase field equations
- Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation.
- Convergence of solutions of a non-local phase-field system
- Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system
- A descent method for the free energy of multicomponent systems
- Models of phase segregation and diffusion of atomic species on a lattice
- On the Cahn-Hilliard equation
- Compact sets in the space \(L^ p(0,T;B)\)
- Phase segregation dynamics in particle systems with long range interactions. I: Macroscopic limits
- Continuum theory of thermally induced phase transitions based on an order parameter
- On a nonlocal phase separation model
- The Neumann boundary problem for a nonlocal Cahn-Hilliard equation
- Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
- Viscous Cahn-Hilliard equation. II: Analysis
- Hysteresis and phase transitions
- Analysis and optimal boundary control of a nonstandard system of phase field equations
- Distributed optimal control of a nonstandard system of phase field equations
- An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity
- Nonlocal Cahn-Hilliard-Navier-Stokes systems with singular potentials
- Cahn-Hilliard equation with nonlocal singular free energies
- The Dirichlet boundary problem for a nonlocal Cahn-Hilliard equation
- Global existence for a strongly coupled Cahn-Hilliard system with viscosity
- Analysis of a time discretization scheme for a nonstandard viscous Cahn–Hilliard system
- Well-posedness and Long-time Behavior for a Nonstandard Viscous Cahn–Hilliard System
- Nonlinear evolution inclusions arising from phase change models
- Phase Segregation Dynamics in Particle Systems with Long Range Interactions II: Interface Motion
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A continuous dependence result for a nonstandard system of phase field equations
- Optimal Distributed Control of a Nonlocal Convective Cahn--Hilliard Equation by the Velocity in Three Dimensions