It is increasingly the case that models of natural phenomena and
materials processing systems involve viscous flows with free
surfaces. These free boundaries are interfaces of the fluid with
either second immiscible fluids or else deformable solid
boundaries. The deformation can be due to mechanical displacement
or as is the case here, due to phase transformation; the solid can
melt or freeze. This volume highlights a broad range of subjects on
interfacial phenomena. There is an overview of the mathematical
description of viscous free-surface flows, a description of the
current understanding of mathematical issues that arise in these
models and a discussion of high-order-accuracy boundary-integral
methods for the solution of viscous free surface flows. There is
the mathematical analysis of particular flows: long-wave
instabilities in viscous-film flows, analysis of long-wave
instabilities leading to Marangoni convection, and de scriptions of
the interaction of convection with morphological stability during
directional solidification. This book is geared toward anyone with
an interest in free-boundary problems, from mathematical analysts
to material scientists; it will be useful to applied
mathematicians, physicists, and engineers alike."
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
The IMA Volumes in Mathematics and its Applications, 61 |
Release date: |
April 2014 |
First published: |
1994 |
Editors: |
Robert A. Brown
• Stephen H Davis
|
Dimensions: |
235 x 155 x 7mm (L x W x T) |
Format: |
Paperback
|
Pages: |
112 |
Edition: |
Softcover reprint of the original 1st ed. 1994 |
ISBN-13: |
978-1-4613-8415-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
1-4613-8415-X |
Barcode: |
9781461384151 |
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