Free Boundary Problems Theory and Applications [Hardcover]

Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a free boundary . A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.

Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a free boundary . A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.

Structural Optimization by the Level-Set Method.- On a Variational Problem Arising in Image Reconstruction.- Ill-Posed Hele??Shaw Flows.- Finite Element Methods for Surface Diffusion.- Crystal Growth and Impingement in Polymer Melts.- Moving Bands and Moving Boundaries in an Hybrid Modelfor the Crystallization of Polymers.- Upscaling of Well Singularities in the Flow Transportthrough Heterogeneous Porous Media.- On plasma expansion in vacuum.- Towards the thermodynamic modeling of nucleation and growthof liquid droplets in single crystals.- On the Intermediate Surface Diffusion Flow.- Solid Core Revisited.- Transmission-Stefan Problems Arising in Czochralski Processof Crystal Growth.- Quasi-static Melting of Crystals: Expel£f