The Cahn-Hilliard equation with logarithmic potentials

From MaRDI portal

Publication:653924

Jump to:navigation, search

DOI10.1007/s00032-011-0165-4zbMath1250.35129OpenAlexW2007951426MaRDI QIDQ653924

Laurence Cherfils, Alain Miranville, Serguei Zelik

Publication date: 20 December 2011

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-011-0165-4

zbMATH Keywords

well-posedness Neumann boundary conditions dynamic boundary conditions exponential attractors viscous approximation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Stefan problems, phase changes, etc. (80A22) Nonlinear elliptic equations (35J60) Singular parabolic equations (35K67)

Related Items

On the strong solution of 3D non-isothermal Navier–Stokes–Cahn–Hilliard equations, Unnamed Item, Tumor evolution models of phase-field type with nonlocal effects and angiogenesis, Existence and weak-strong uniqueness for global weak solutions for the viscoelastic phase separation model in three space dimensions, Extended Larché-Cahn framework for reactive Cahn-Hilliard multicomponent systems, Well-posedness and large time behavior for Cahn-Hilliard-Oono equation, Allen-Cahn-Navier-Stokes-Voigt systems with moving contact lines, A uniquely solvable, positivity-preserving and unconditionally energy stable numerical scheme for the functionalized Cahn-Hilliard equation with logarithmic potential, Global Dynamics of the Cahn-Hilliard/Allen-Cahn Equation, On the viscous Cahn–Hilliard–Oono system with chemotaxis and singular potential, Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential, A positivity-preserving, energy stable BDF2 scheme with variable steps for the Cahn-Hilliard equation with logarithmic potential, A continuum theory for mineral solid solutions undergoing chemo-mechanical processes, Existence for a Cahn-Hilliard model for lithium-ion batteries with exponential growth boundary conditions, Dynamics of an evolution equation with singular potential, A phase separation model for binary fluids with hereditary viscosity, On the logarithmic Cahn-Hilliard equation with general proliferation term, The nonlocal Cahn–Hilliard–Hele–Shaw system with logarithmic potential, A Complex Version of the Cahn--Hilliard Equation for Grayscale Image Inpainting, Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems, Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach, Cahn--Hilliard Inpainting with the Double Obstacle Potential, Optimal Distributed Control of a Stochastic Cahn--Hilliard Equation, Sixth-order Cahn-Hilliard systems with dynamic boundary conditions, A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation, A novel regularized model for the logarithmic Klein-Gordon equation, A nonnegativity preserving scheme for the relaxed Cahn–Hilliard equation with single-well potential and degenerate mobility, Local asymptotics for nonlocal convective Cahn-Hilliard equations with \(W^{1,1}\) kernel and singular potential, A regularization-free approach to the Cahn-Hilliard equation with logarithmic potentials, On a class of conserved phase field systems with a maximal monotone perturbation, Cahn-Hilliard-Navier-Stokes systems with moving contact lines, Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations, A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model, Error estimates of local energy regularization for the logarithmic Schrödinger equation, On the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard Equation with Logarithmic Nonlinear Terms, Sixth-order Cahn–Hilliard equations with singular nonlinear terms, A Cahn–Hilliard equation with a proliferation term for biological and chemical applications, Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction, Nonlocal operator method for the Cahn-Hilliard phase field model, On the nonlocal Cahn-Hilliard equation with nonlocal dynamic boundary condition and boundary penalization, On the Cahn-Hilliard equation with mass source for biological applications, Global existence of weak solutions to viscoelastic phase separation part: I. Regular case, A variational approach to a Cahn-Hilliard model in a domain with nonpermeable walls, Longtime behavior of nonlocal Cahn-Hilliard equations, A second order linear energy stable numerical method for the Cahn-Hilliard-Hele-Shaw system, Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics, Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows, Numerical investigation into the dependence of the Allen-Cahn equation on the free energy, Higher-order anisotropic models in phase separation, Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms, Long-time behavior of the Cahn-Hilliard equation with dynamic boundary condition, Multi-component Cahn-Hilliard systems with dynamic boundary conditions, The Cahn–Hilliard–Oono equation with singular potential, Doubly nonlocal Cahn-Hilliard equations, Non-local Cahn–Hilliard equations with fractional dynamic boundary conditions, Optimal control for a phase field system with a possibly singular potential, Cahn-Hilliard equations governed by weakly nonlocal conservation laws and weakly nonlocal particle interactions, On the dynamics of a modified Cahn-Hilliard equation with biological applications, Solutions with single radial interface of the generalized Cahn-Hilliard flow, A review on the Cahn-Hilliard equation: classical results and recent advances in dynamic boundary conditions, A class of three dimensional Cahn-Hilliard equation with nonlinear diffusion, Higher-Order Allen–Cahn Models with Logarithmic Nonlinear Terms, On a Class of Sixth-Order Cahn--Hilliard-Type Equations with Logarithmic Potential, Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms, An unconditionally stable numerical method for the viscous Cahn-Hilliard equation, On a generalized Cahn-Hilliard equation with biological applications, Non-isothermal viscous Cahn-Hilliard equation with inertial term and dynamic boundary conditions, Approximation of the trajectory attractor for a 3D model of incompressible two-phase-flows, On a regularized family of models for homogeneous incompressible two-phase flows, Global attractor for a class of sixth-order viscous Cahn-Hilliard equation in an unbounded domain, An Efficient and Convergent Finite Element Scheme for Cahn--Hilliard Equations with Dynamic Boundary Conditions, Existence of solutions to a Cahn-Hilliard type equation with a logarithmic nonlinear term, Fourth-order spatial and second-order temporal accurate compact scheme for Cahn-Hilliard equation, Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials, An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis, On the strong-to-strong interaction case for doubly nonlocal Cahn-Hilliard equations, On the viscous Allen-Cahn and Cahn-Hilliard systems with Willmore regularization., On the stochastic Cahn-Hilliard equation with a singular double-well potential, Higher-order Cahn-Hilliard equations with dynamic boundary conditions, On a Cahn-Hilliard/Allen-Cahn system coupled with a type III heat equation and singular potentials, Regularity and separation from potential barriers for the Cahn-Hilliard equation with singular potential, Decoupled, EnergyStableNumericalSchemeforthe Cahn-Hilliard-Hele-Shaw System with Logarithmic Flory-Huggins Potential, A doubly splitting scheme for the Caginalp system with singular potentials and dynamic boundary conditions, A non-isothermal compressible Cahn-Hilliard fluid model for air pollution phenomena, On a Cahn-Hilliard system with convection and dynamic boundary conditions, On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions, Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation, An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels, The nonlocal Cahn-Hilliard equation with singular potential: well-posedness, regularity and strict separation property, Feedback stabilization of the Cahn-Hilliard type system for phase separation, Finite dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono equation in R3, A Generalized Cahn-Hilliard Equation with Logarithmic Potentials, A convergent convex splitting scheme for a nonlocal Cahn–Hilliard–Oono type equation with a transport term, Global well-posedness of a Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential in 2D, The stochastic viscous Cahn-Hilliard equation: well-posedness, regularity and vanishing viscosity limit, Optimal control for the convective Cahn-Hilliard equation in 2D case, Global well-posedness and attractors for the hyperbolic Cahn–Hilliard–Oono equation in the whole space, Numerical analysis for the Cahn-Hilliard-Hele-Shaw system with variable mobility and logarithmic Flory-Huggins potential, Long-time dynamics of the Cahn-Hilliard equation with kinetic rate dependent dynamic boundary conditions, Existence and limit problem for fractional fourth order subdiffusion equation and Cahn-Hilliard equation, Global well-posedness and temporal decay estimates to the fractional Cahn-Hilliard equation in \(\mathbb{R}^{N}\), Global weak solutions to a diffuse interface model for incompressible two-phase flows with moving contact lines and different densities, Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network, From the viscous Cahn–Hilliard equation to a regularized forward-backward parabolic equation, On the Cahn-Hilliard-Oono-Navier-Stokes equations with singular potentials, Global weak solutions to a Navier–Stokes–Cahn–Hilliard system with chemotaxis and singular potential, Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model, Time-fractional Cahn-Hilliard equation: well-posedness, degeneracy, and numerical solutions, A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition, Asymptotic behaviour of a generalized Cahn–Hilliard equation with a proliferation term, Shock filter as the classifier for image inpainting problem using the Cahn-Hilliard equation, The stochastic Cahn–Hilliard equation with degenerate mobility and logarithmic potential, A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system, Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films, Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation, The Cahn-Hilliard equation and some of its variants, Time periodic solutions of Cahn-Hilliard systems with dynamic boundary conditions, Phase-field dynamics with transfer of materials: The Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions, PULLBACK ATTRACTOR FOR A NON-AUTONOMOUS GENERALIZED CAHN-HILLIARD EQUATION WITH BIOLOGICAL APPLICATIONS, Cahn–Hilliard equations on an evolving surface, ATTRACTORS FOR A CAGINALP MODEL WITH A LOGARITHMIC POTENTIAL AND COUPLED DYNAMIC BOUNDARY CONDITIONS, Inertial manifolds for the 3D Cahn-Hilliard equations with periodic boundary conditions, Cahn-Hilliard equation with nonlocal singular free energies, Convective nonlocal Cahn-Hilliard equations with reaction terms, On the phase-field-crystal model with logarithmic nonlinear terms

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:653924&oldid=12552459"