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This is the second of three volumes containing the proceedings of
the International Colloquium 'Free Boundary Problems: Theory and
Applications', held in Montreal from June 13 to June 22, 1990. The
main theme of this volume is the concept of free boundary problems
associated with solids. The first free boundary problem, the
freezing of water - the Stefan problem - is the prototype of
solidification problems which form the main part of this volume.
The two sections treting this subject cover a large variety of
topics and procedures, ranging from a theoretical mathematical
treatment of solvability to numerical procedures for practical
problems. Some new and interesting problems in solid mechanics are
discussed in the first section while in the last section the
important new subject of solid-solid-phase transition is examined.
The papers in this volume arose out of two workshops entitled "Confinement and Remediation of Environmental Hazards," and "Resource Recovery," as part of the IMA 1999-2000 program year. These workshops brought together mathematicians, engineers and scientists to summarize recent theoretical, computational, and experimental advances in the theory of phenomena in porous media. The first workshop focused on the mathematical problems which arise in groundwater transport of contamination, and the spreading, confinement and remediation of biological, chemical and radioactive waste. In the second conference, the processes underlying petroleum recovery and the geological time scale of deformation, flow and reaction in porous media were discussed. Simulation techniques were used to simulate complex domains with widely-ranging spatial resolution and types of physics. Probability funcional methods for determining the most probable state of the subsurface and related uncertainty were discussed. Practical examples included breakout from chemical and radioactive waste repositories, confinement by injection of pore plugging material and bioremediation of petroleum and other wastes. This volume will be of interest to subsurface science practitioners who would like a view of recent mathematical and experimental efforts to examine subsurface science phenomena related to resource recovery and remediation issues.
This Research Note presents a collection of papers on emerging
applications in free boundary problems. The subjects covered
include microgravity, chemical and biological reactions, and
electromagnetism and electronics.
This Research Note presents a collection of papers on emerging
applications in free boundary
problems. The subjects covered include microgravity, chemical and
biological reactions, and electromagnetism and electronics.
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