Global asymptotic limit of solutions of the Cahn-Hilliard equation

From MaRDI portal
Publication:678802

DOI10.4310/jdg/1214458973zbMath0874.35045OpenAlexW1593414945WikidataQ115177089 ScholiaQ115177089MaRDI QIDQ678802

Xinfu Chen

Publication date: 10 November 1997

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214458973



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (64)

The multi-dimensional stochastic Stefan financial model for a portfolio of assetsA rigorous sharp interface limit of a diffuse interface model related to tumor growthNonconvergence of the Capillary Stress Functional for Solutions of the Convective Cahn-Hilliard EquationLusternik-Schnirelman and Morse theory for the van der Waals-Cahn-Hilliard equation with volume constraintOstwald ripening in two dimensions -- the rigorous derivation of the equations from the Mullins-Sekerka dynamicsHigher moments for the stochastic Cahn–Hilliard equation with multiplicative Fourier noiseDerivation of a Sharp-Diffuse Interfaces Model for Seawater Intrusion in a Free Aquifer. Numerical SimulationsOn the approximation of the elastica functional in radial symmetryComparison of a rapidely converging phase field model for interfaces in solids with the Allen-Cahn modelUnnamed ItemAn efficient two-grid method for the Cahn-Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potentialStochastic Cahn-Hilliard equation in higher space dimensions: the motion of bubblesA fully discrete mixed finite element method for the stochastic Cahn-Hilliard equation with gradient-type multiplicative noiseRegularization of discrete contour by Willmore energyThe Sharp Interface Limit of a Navier–Stokes/Allen–Cahn System with Constant Mobility: Convergence Rates by a Relative Energy ApproachSharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteriesLong time behavior of solutions of a reaction-diffusion equation on unbounded intervals with Robin boundary conditionsGlobal sharp interface limit of the Hele-Shaw-Cahn-Hilliard systemA three level linearized compact difference scheme for the Cahn-Hilliard equationDensity-constrained Chemotaxis and Hele-Shaw flowWeak solutions of Mullins-Sekerka flow as a Hilbert space gradient flowA multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosisA Cahn--Hilliard Model for Cell MotilityGeodesics, soap bubbles and pattern formation in Riemannian surfacesAn improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equationTriple-junction motion for an Allen-Cahn/Cahn-Hilliard systemAnalysis of the Cahn-Hilliard equation with a relaxation boundary condition modeling the contact angle dynamicsA Gamma-convergence approach to the Cahn-Hilliard equationComparison study of the conservative Allen-Cahn and the Cahn-Hilliard equationsOn a modified conjecture of De GiorgiSharp Interface Limits for Diffuse Interface Models for Two-Phase Flows of Viscous Incompressible FluidsPhase-field approximations of the Willmore functional and flowOptimal control of geometric partial differential equationsUnnamed ItemAn energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysisNew asymptotic analysis method for phase field models in moving boundary problem with surface tensionOn the stability and accuracy of partially and fully implicit schemes for phase field modelingQuadratic and rate-independent limits for a large-deviations functionalSharp interface limit of a Stokes/Cahn-Hilliard system. I: Convergence resultConvergence of phase-field approximations to the Gibbs-Thomson lawThe spectral method for the Cahn-Hilliard equation with concentration-dependent mobilityA multi-phase Mullins–Sekerka system: matched asymptotic expansions and an implicit time discretisation for the geometric evolution problemCorrectors and error estimates in the homogenization of a Mullins-Sekerka problemError analysis of a mixed finite element method for the Cahn-Hilliard equationA Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densitiesA uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysisOn the sharp interface limit of a model for phase separation on biological membranesRegularity of solutions of the Cahn-Hilliard equation with non-constant mobilityAnalysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn–Hilliard Equation and the Hele–Shaw FlowGoal-oriented error estimation for Cahn-Hilliard models of binary phase transitionExistence of Weak Solutions for a Diffuse Interface Model of Power-Law Type Two-Phase FlowsPhase-field approximation of the Willmore flowOptimal control for the convective Cahn-Hilliard equation in 2D caseNew Phase-Field Models with Applications to Materials Genome InitiativeConvergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equationExistence of weak solution for mean curvature flow with transport term and forcing termOn a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition and its approximation by a Robin boundary conditionSolving the Cahn-Hilliard variational inequality with a semi-smooth Newton methodMullins-Sekerka as the Wasserstein flow of the perimeterExistence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluidsApproximate solutions of the Cahn-Hilliard equation via corrections to the Mullins-Sekerka motionA multigrid finite element solver for the Cahn-Hilliard equationOn a reaction-diffusion equation with Robin and free boundary conditionsThe Hele–Shaw flow as the sharp interface limit of the Cahn–Hilliard equation with disparate mobilities




This page was built for publication: Global asymptotic limit of solutions of the Cahn-Hilliard equation