The IMA Volumes in Mathematics and its Applications

Free Boundaries in Viscous Flows

Editors: Brown, Robert A., Davis, Stephen H. (Eds.)

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About this book

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.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook 71,39 €
price for Spain (gross)
  • ISBN 978-1-4613-8413-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 90,47 €
price for Spain (gross)
  • ISBN 978-1-4613-8415-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Free Boundaries in Viscous Flows
Editors
  • Robert A. Brown
  • Stephen H. Davis
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
61
Copyright
1994
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4613-8413-7
DOI
10.1007/978-1-4613-8413-7
Softcover ISBN
978-1-4613-8415-1
Series ISSN
0940-6573
Edition Number
1
Number of Pages
XV, 112
Number of Illustrations
3 b/w illustrations
Topics