On the existence of nonnegative continuous solutions of the Cahn-Hilliard equation

From MaRDI portal
Publication:1188242

DOI10.1016/0022-0396(92)90075-XzbMath0772.35051MaRDI QIDQ1188242

Jingxue Yin

Publication date: 13 August 1992

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




Related Items (45)

A class of stable and conservative finite difference schemes for the Cahn-Hilliard equationSolutions with compact support to the Cauchy problem of an equation modeling the motion of viscous dropletsMass-conservative and positivity preserving second-order semi-implicit methods for high-order parabolic equationsA conservative difference scheme for the viscous Cahn--Hilliard equation with a nonconstant gradient energy coefficientComputational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobilityDegenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardeningAsymptotic Analysis on the Sharp Interface Limit of the Time-Fractional Cahn--Hilliard EquationConservative nonlinear difference scheme for the Cahn-Hilliard equationWell-posedness and large time behavior for Cahn-Hilliard-Oono equationAn \(L^\infty\) bound for solutions of a fractional Cahn-Hilliard equationUnconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard EquationExistence analysis for a reaction-diffusion Cahn-Hilliard-type system with degenerate mobility and singular potential modeling biofilm growthA diffuse-interface approach for solid-state dewetting with anisotropic surface energiesA three level linearized compact difference scheme for the Cahn-Hilliard equationLarge time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equationNon-blow-up phenomenon for the Cahn-Hilliard equation with non-constant mobilityFast solver of optimal control problems constrained by Ohta-Kawasaki equationsA review on the Cahn-Hilliard equation: classical results and recent advances in dynamic boundary conditionsUnnamed ItemA numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn-Hilliard equationA finite volume/discontinuous Galerkin method for the advective Cahn-Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imagingA sixth-order phase-field equation with degenerate mobilityUnconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equationConservative nonlinear difference scheme for the Cahn-Hilliard equation. IIGlobal weak solutions to a higher order nonlinear degenerate parabolic equationOptimal distributed control of nonlinear Cahn-Hilliard systems with computational realizationGlobal well-posedness of solutions to the Cauchy problem of convective Cahn-Hilliard equation. Cauchy problem of convective Cahn-Hilliard equationThe spectral method for the Cahn-Hilliard equation with concentration-dependent mobilityClassical solutions for the Cahn-Hilliard equation with decayed mobilityRegularity of solutions of the Cahn-Hilliard equation with concentration dependent mobilityRegularity of solutions of the Cahn-Hilliard equation with non-constant mobilityThe existence of weak solutions for a nonlocal Cahn-Hilliard equation with degenerate mobilityUnnamed ItemWeak solutions for the Cahn-Hilliard equation with degenerate mobilityPeriodic solutions to the Cahn-Hilliard equation with constraintOptimal control for the convective Cahn-Hilliard equation in 2D caseWeak solutions for the functionalized Cahn–Hilliard equation with degenerate mobilityWeak solutions for a sixth-order phase-field equation with degenerate mobilityThe Cahn-Hilliard type equations with periodic potentials and sourcesStudy of weak solutions for a higher order nonlinear degenerate parabolic equationOn nonnegative solutions for the functionalized Cahn-Hilliard equation with degenerate mobilityGlobal well-posedness and temporal decay estimates to the fractional Cahn-Hilliard equation in \(\mathbb{R}^{N}\)The stochastic Cahn–Hilliard equation with degenerate mobility and logarithmic potentialCoarsening Mechanism for Systems Governed by the Cahn--Hilliard Equation with Degenerate Diffusion MobilityAsymptotic behaviour of the viscous Cahn-Hilliard equation



Cites Work


This page was built for publication: On the existence of nonnegative continuous solutions of the Cahn-Hilliard equation