Free and Moving Boundaries: Analysis. Simulation and Control
This book contains 24 selected papers presented at the conference “Free and moving boundary analysis, simulation and control” held in Houston, Texas, in 2004. It includes a discussion of various concepts of how to treat moving domains and moving boundary conditions in systems described by partial differential equations (e.g. the concept of fictitious domains introduced by R. Glowinski, the concept of arbitrary Euler-Lagrange representations and a level set technique for moving geometry). Many papers in the volume also discuss various applications to other fields (algebraic problems in biomathematics, dynamical control of geometry, problems arising from continuum mechanics, stabilization of structures, three-dimensional electromagnetism, inverse problems and numerical simulation of suspensions and liquids).