Free boundary problems arise in an enormous number of situations in nature and technology. They hold a strategic position in pure and applied sciences and thus have been the focus of considerable research over the last three decades. Free Boundary Problems: Theory and Applications presents the work and results of experts at the forefront of current research in mathematics, material sciences, chemical engineering, biology, and physics. It contains the plenary lectures and contributed papers of the 1997 International Interdisciplinary Congress proceedings held in Crete. The main topics addressed include free boundary problems in fluid and solid mechanics, combustion, the theory of filtration, and glaciology. Contributors also discuss material science modeling, recent mathematical developments, and numerical analysis advances within their presentations of more specific topics, such as singularities of interfaces, cusp cavitation and fracture, capillary fluid dynamics of film coating, dynamics of surface growth, phase transition kinetics, and phase field models. With the implications of free boundary problems so far reaching, it becomes important for researchers from all of these fields to stay abreast of new developments. Free Boundary Problems: Theory and Applications provides the opportunity to do just that, presenting recent advances from more than 50 researchers at the frontiers of science, mathematics, and technology.
Autorentext
Ioannis Athanasopoulos
Zusammenfassung
This work presents a comprehensive overview of existing knowledge regarding the influence of freezing, frozen storage and thawing of specific food-stuffs. It delineates how freezing processes alter the colour, appearance, palatability, nutritional value, intrinsic chemical reactions, microbiological safety and consumer acceptance of foods. The fundamental concepts upon which food-freezing technologies are based, are reviewed.
Inhalt
Plenary Lectures
A Study of Free Boundary Problems of Fluid Flow in Porous Media by Mixed Methods, L. Badea, R.E. Ewing, and J. Wang
Labyrinthine Pattern Formation in Magnetic Liquids, A. Cebers, and I. Drikis
Some Two-Scale Processes Involving Parabolic Equations, A. Fasano
Level Set Methods, with an Application to Modeling the Growth of Thin Films, B. Merriman, R. Caflisch, and S. Osher
Free Boundary Problems Arising in Ecological Systems, M. Mimura
Overview of Dynamical Simulations of the Flow of Suspensions of Liquid Capsules and Drops, C. Pozrikidis
Meniscus Roll Coating: Steady Flows and Instabilities, M. Savage
Mathematical Developments of Free Boundary Problems
Instabilities, Bifurcations, and Saddle Points in some FBPs in Combustion, C.-M. Brauner, J. Hulshof, A. Lunardi, and C. Schmidt-Laine
Regularity of Solutions and Interfaces to Degenerate Parabolic Equations: The Intersection Comparison Method, V.A. Galaktionov, S. Shmarev, and J.L. Vazquez
Blow Up of Interfaces for an Inhomogeneous Aquifer, M. Guedda, D. Hilhorst, and M.A. Peletier
An Exponential Transform and Regularity of Free Boundaries in Two Dimensions, B. Gustafsson
Well-Posedness for a Phase-Field Model with Constraint, N. Kenmochi and M. Kubo
On a Structure Theorem for some Free Boundary Problems for the Heat Equation, M.K. Korten
Limit, Pointwise, Viscosity, and Classical Solutions to a Free Boundary Problem in Combustion, C. Lederman and N. Wolanski
Free Boundary Problems in Fluid Mechanics
Hysteresis Behavior of a Pointed Drop in Taylor's Four-Roller Mill, L. Antanovskii and R.H.J. Grimshaw
Mathematical Foundation of Ice Sheet and Ice Shelf Dynamics: A Physicist's View, K.H. Hutter
A Free Moving Boundary Problem for the Till Layer Below Large Ice Sheets, F. dell'Isola and K. Hutter
New Ideas about Flow Induced Cavitation of Liquids, D.D. Joseph
Topological Transitions in Liquid/Liquid Surfaces, J. Lowengrub