Manuscript Topics

Many issues in applied science can be formulated as interface problems which can be regarded as limiting cases of evolution equations exhibiting transition layers. The study of phase field or diffusive interface problems, Allen-Cahn and Cahn-Hilliard equations have been an active area for the past few decades. This has also been an additional motivation for studying general nonlinear evolution equations. This special issue will focus on the mathematical properties (well-posedness, regularity, stability, asymptotic behavior of solutions, ...) and applications of these equations.

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