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A traditional way to honor distinguished scientists is to combine
collections of papers solicited from friendly colleagues into
dedicatory volumes. To honor our friend and colleague Mort Gurtin
on the occasion of his sixty-fifth birthday, we followed a surer
path to produce a work of intrinsic and lasting scientific value:
We collected pa pers that we deemed seminal in the field of
evolving phase interfaces in solids, a field to which Mort Gurtin
himself has made fundamental contributions. Our failure for lack of
space to include in this volume every paper of major significance
is mitigated by the ma gisterial introduction prepared by Eliot
Fried, which assesses the contributions of nu merous works. We hope
that this collection will prove useful and stimulating to both
researchers and students in this exciting field. August 1998 JohnM.
Ball David Kinderlehrer Paulo Podio-Guidugli Marshall Slemrod
Contents Introduction: Fifty Years of Research on Evolving Phase
Interfaces By Eliot Fried. 0
************************************************ 0 ***** 1 I.
Papers on Materials Science Surface Tension as a Motivation for
Sintering By C. Herring 33 Two-Dimensional Motion of Idealized
Grain Boundaries By W. W. Mullins 0 *********** 0
******************* 70 Morphological. Stability of a Particle
Growing by Diffusion or Heat Flow By w. w. Mullins and R. F.
Sekerka 75 Energy Relations and the Energy-Momentum Tensor in
Continuum Mechanics By J. D. Eshelby 82 The Interactions of
Composition and Stress in Crystalline Solids By F. e. Larche and 1.
W. Cahn 120 II.
The main goal of this book is to provide an overview of the state
of the art in the mathematical modeling of complex fluids, with
particular emphasis on its thermodynamical aspects. The central
topics of the text, the modeling, analysis and numerical simulation
of complex fluids, are of great interest and importance both for
the understanding of various aspects of fluid dynamics and for its
applications to special real-world problems. New emerging trends in
the subject are highlighted with the intent to inspire and motivate
young researchers and PhD students.
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