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.
- ISBN13 9781611975918
- Publish Date 1 September 2019
- Publish Status Active
- Publish Country US
- Imprint Society for Industrial & Applied Mathematics,U.S.
- Format Paperback
- Pages 216
- Language English