Metastable Internal Layer Dynamics for the Viscous Cahn-Hilliard Equation(1995)
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AbstractA formal asymptotic method is used to derive a differential-algebraic system of equations characterizing the metastable motion of a pattern of n (n 2) internal layers for the one-dimensional viscous Cahn-Hilliard modeling slow phase separation. Similar slow motion results are obtained for the Cahn-Hilliard equation and the constrained Allen-Cahn equation by introducing a homotopy parameter into the viscous Cahn-Hilliard equation and letting this parameter take on limiting values. For each of...
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