Existence of solutions for anisotropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions
Existence of solutions for anisotropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions
Our aim in this paper is to prove the existence and uniqueness of solutions to Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [12] (see also [16]) which takes into account strong anisotropy effects. In particular, the free energy contains a regularization …