## Numerical studies of the Cahn-Hilliard equation for phase separation.(English)Zbl 0632.65113

The behaviour of the solution of the initial-boundary value problem $$U_ t+\gamma D^ 4U=D^ 2\Phi (u),\Phi (u)=\gamma_ 2u^ 3+\gamma_ 1u^ 2+\gamma_ 0u,$$ $$D=\partial /\partial x$$, $$\gamma,\gamma_ i$$ are constants, $$Du=\gamma D^ 3u-D\Phi (u)$$ $$(x=0$$, $$x=L)$$ $$u(x,0)=u_ 0(x)$$ is studied using a finite element Galerkin method. Also, numerical experiments are discussed.
Reviewer: P.I.Ialamov

### MSC:

 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
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