New explicit contour integral representations are derived for the linear Cahn-Hilliard equation with interface conditions using the Fokas unified transform method applied to a fourth-order operator.
Miranville, The Cahn-Hilliard Equation: Recent Advances and Applications, CBMS-NSF Regional Conference Series in Applied Mathematics 95, SIAM (2019)
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The linear Cahn-Hilliard equation with an interface
New explicit contour integral representations are derived for the linear Cahn-Hilliard equation with interface conditions using the Fokas unified transform method applied to a fourth-order operator.