This is the first book to present a detailed discussion of both
classical and recent results on the popular Cahn–Hilliard
equation and some of its variants. The focus is on mathematical
analysis of Cahn–Hilliard models, with an emphasis on
thermodynamically relevant logarithmic nonlinear terms, for which
several questions are still open. Initially proposed in view of
applications to materials science, the Cahn–Hilliard equation is
now applied in many other areas, including image processing,
biology, ecology, astronomy, and chemistry. In particular, the
author addresses applications to image inpainting and tumor growth.
Many chapters include open problems and directions for future
research. The Cahn?Hilliard Equation: Recent Advances and
Applications is intended for graduate students and researchers in
applied mathematics, especially those interested in phase
separation models and their generalizations and applications to
other fields. Materials scientists also will find this text of
interest.
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