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Free Boundary Problems : Theory and Applications - Ioannis Athanasopoulos

Free Boundary Problems

Theory and Applications


Published: 1st June 1999
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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.

A Study of Free Boundary Problems of Fluid Flow in Porous Media by Mixed Methodsp. 3
Labyrinthine Pattern Formation in Magnetic Liquidsp. 14
Some Two-Scale Processes Involving Parabolic Equationsp. 39
Level Set Methods, with an Application to Modeling the Growth of Thin Filmsp. 51
Free Boundary Problems Arising in Ecological Systemsp. 71
Overview of Dynamical Simulations of the Flow of Suspensions of Liquid Capsules and Dropsp. 82
Meniscus Roll Coating: Steady Flows and Instabilitiesp. 89
Instabilities, Bifurcations and Saddle-Points in Some FBPs in Combustionp. 105
Regularity of Solutions and Interfaces to Degenerate Parabolic Equations. The Intersection Comparison Methodp. 115
Blow-Up of Interfaces for an Inhomogeneous Aquiferp. 131
An Exponential Transform and Regularity of Free Boundaries in Two Dimensionsp. 139
Well-Posedness for a Phase-Field Model with Constraintp. 147
On a Structure Theorem for Some Free Boundary Problems for the Heat Equationp. 155
Limit, Pointwise, Viscosity and Classical Solutions to a Free Boundary Problem in Combustionp. 164
Hysteresis Behaviour of a Pointed Drop in Taylor's Four-Roller Millp. 177
Mathematical Foundation of Ice Sheet and Ice Shelf Dynamics. A Physicist's Viewp. 192
A Free Moving Boundary Problem for the Till Layer Below Large Ice Sheetsp. 204
New Ideas About Flow Induced Cavitation of Liquidsp. 210
Topological Transitions in Liquid/Liquid Surfacesp. 221
On the Mathematical Analysis of a Valley Glacier Modelp. 237
On the Bernoulli Free Boundary Problem with Surface Tensionp. 246
Alloy Solidification with Convection in the Meltp. 255
Implications of Non-Monotonic Curvature-Dependence in the Propagation Speed of an Interfacep. 262
Asymptotic Analysis of a Phase-Field Model with Memoryp. 273
Models of Nucleation and Growthp. 287
New Results in Numerical Conservation Lawsp. 301
On a Degenerate System in Glaciology Giving Rise to a Free Boundaryp. 309
Singular Finite Element Solutions of the Axisymmetric Extrudate-Swell Problemp. 318
A Phase-Field System with Space-Dependent Relaxation Coefficientp. 327
Monotone Iterations for Elliptic Variational Inequalitiesp. 335
Adaptive Solution of Parabolic Free Boundary Problems with Error Controlp. 344
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781584880189
ISBN-10: 158488018X
Series: Research Notes in Mathematics Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 368
Published: 1st June 1999
Publisher: Taylor & Francis Inc
Country of Publication: US
Dimensions (cm): 23.5 x 14.61  x 1.91
Weight (kg): 0.52
Edition Number: 1