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Recent results on analysis and optimal control of phase eld models

Organizers:
Dietmar Hoemberg (WIAS) and M. Hassan Farshbaf Shaker (WIAS)

Abstract:In this minisymposium our aim is to bring together experts working in the eld of phase field modelling and their Optimal control. Phase field models appear in many different application, i.e. in materials science and fluid dynamics such as phase separation in alloys, crystal growth, dynamics of multiphase fluids and epitaxial growth and also topology optimization. Topics to be discussed are analytical and numerical aspects of phase field problems formulated with partial differential equations or also formulated with differential inclusions or variational inequalities. We will discuss optimal control of phase field models and phase field MPECs (Mathematical programs with equilibrium constraints), corresponding to optimization problems including phase field differential inclusions. Also topology optimization using phase field methods will be discussed.