| Contents |
| Some recent results on phase field equations of Allen-Cahn or Cahn-Hilliard type on moving surfaces will be presented. Both analytical questions regarding the asymptotic limit but also the numerical approximation using surface finite element methods will be addressed. While for rigorous results a given moving surface is assumed, the surface often is unknown in applications, i.e., its motion is governed by a free boundary problem which usually back-couples to the lateral processes. Biophysical applications comprise phase separation in biomembranes and the formation of adhesion patches during cell motility. |
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