Abstract: |
We consider a nonlocal Cahn-Hilliard equation with singular or regular
kernel,
where the kernel is symmetric and non-radial. We get the existence of a
weak solution
of the equation using the Moreau regularization of the potential and an
implicit time discretization.
We then prove convergence of suitable sequence of weak solutions of the
equation to weak solutions of
a local anisotropic Cahn-Hilliard equation. This talk is based on a
joint work with Professor Helmut Abels (Regensburg Univ.). |
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