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Titlebook: On the Evolution of Phase Boundaries; Morton E. Gurtin,Geoffrey B. McFadden Conference proceedings 1992 Springer-Verlag New York, Inc. 199

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书目名称On the Evolution of Phase Boundaries
编辑Morton E. Gurtin,Geoffrey B. McFadden
视频video
丛书名称The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: On the Evolution of Phase Boundaries;  Morton E. Gurtin,Geoffrey B. McFadden Conference proceedings 1992 Springer-Verlag New York, Inc. 199
描述This IMA Volume in Mathematics and its Applications ON THE EVOLUTION OF PHASE BOUNDARIES is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries". The purpose of the workshop was to bring together mathematicians and other scientists working on the Stefan problem and related theories for modeling physical phenomena that occurs in two phase systems. We thank M.E. Gurtin and G. McFadden for editing the proceedings. We also take this opportunity to thank the National Science Foundation, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE A primary goal of the IMA workshop on the Evolution of Phase Boundaries from September 17-21, 1990 was to emphasize the interdisciplinary nature of contempo­ rary research in this field, research which combines ideas from nonlinear partial dif­ ferential equations, asymptotic analysis, numerical computation, and experimental science. The workshop brought together researchers from several disciplines, includ­ ing mathematics, physics, and both experimental and theoretical materials science.
出版日期Conference proceedings 1992
关键词Phase Transition; Phase Transitions; algorithms; differential equation; numerical methods
版次1
doihttps://doi.org/10.1007/978-1-4613-9211-8
isbn_softcover978-1-4613-9213-2
isbn_ebook978-1-4613-9211-8Series ISSN 0940-6573 Series E-ISSN 2198-3224
issn_series 0940-6573
copyrightSpringer-Verlag New York, Inc. 1992
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A Phase Fluid Model: Derivation and New Interface Relation,ume are considered in conjunction with temperature and order parameter using the phase field approach. Upon making some choices and approximations one obtains a system of parabolic differential equations. An asymptotic analysis leads to a new interface relation (generalizing Gibbs-Thomson) which ind
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Towards a Phase Field Model for Phase Transitions in Binary Alloys,o extend phase field models to deal with binary alloys; a situation of metallurgical and industrial importance. To this end we present a new phase field model for isothermal phase transitions in a binary alloy and discuss the results of an asymptotic analysis. Finally we suggest ways in which these
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