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Item Details
| Title:
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INTERFACIAL WAVE THEORY OF PATTERN FORMATION
SELECTION OF DENDRITIC GROWTH AND VISCOUS FINGERING IN HELE-SHAW FLOW |
| By: |
Jian-Jun Xu, R. Steblin (Trans) |
| Format: |
Hardback |
| List price:
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£72.00 |
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We believe that this item is permanently unavailable, and so we cannot source
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| ISBN 10: |
3540631453 |
| ISBN 13: |
9783540631453 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
16 December, 1997 |
| Series: |
Springer Series in Synergetics 68 |
| Pages: |
308 |
| Translated from: |
German |
| Description: |
This work studies the interfacial stability and pattern formation in dynamic systems away from the equilibrium state. In particular, it deals with the two prominent prototype systems: dendrite growth in solidification and viscous fingering in Hele-Shaw flow. |
| Synopsis: |
For the last several years, the study of interfacial instability and pattern formation phenomena has preoccupied many researchers in the broad area of nonlinear science. These phenomena occur in a variety of dynamical sys- tems far from equilibrium. In many practically very important physical sys- tems some fascinating patterns are always displayed at the interface between solid and liquid or between two liquids. Two prototypes of these phenomena are dendrite growth in solidification and viscous fingering in a Hele-Shaw cell. These two phenomena occur in completely different scientific fields, but both are described by similar nonlinear free boundary problems of partial- differential-equation systems; the boundary conditions on the interface for both cases contain a curvature operator involving the surface tension, which is nonlinear. Moreover, both cases raise the same challenging theoretical is- sues, interfacial instability mechanisms and pattern selection, and it is now found that these issues can be solved by the same analytical approach.Thus, these two phenomena are regarded as special examples of a class of nonlinear pattern formation phenomena in nature, and they are the prominent topics of the new interdisciplinary field of nonlinear science. This research monograph is based on a series of lectures I have given at McGill University, Canada (1993-1994), Northwestern Poly technical In- stitute, China (1994), Aachen University, Germany (1994), and the CRM summer school at Banff, Alberta, Canada (1995). |
| Illustrations: |
11 black & white tables, biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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