Interfacial Wave Theory of Pattern Formation: Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998
|
| Schriftenreihe: | Springer Series in Synergetics
68 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The stabiltiy mechanisms of a curved front and the pattern formation in dendrite growth and viscous fingering have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for about half a century. This book studies interfacial instability 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. It elucidates the key problems step by step and systematically derives their mathematical solutions, on the basis of the newly established interfacial wave theory. Finally, it carefully examines these results by comparisons with the available experimental results. The unified, asymptotic approach described in this book will be useful for investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamic systems. The results on global stability and selection mechanisms of pattern formation given in this book will be of particular interest to researchers. For the readers who are not familiar with this rapidly growing interdisciplinary field, this book will be a stimulating and valuable introduction |
| Beschreibung: | 1 Online-Ressource (XII, 296 p) |
| ISBN: | 9783642804359 9783642804373 |
| ISSN: | 0172-7389 |
| DOI: | 10.1007/978-3-642-80435-9 |
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Datensatz im Suchindex
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| author | Xu, Jian-Jun |
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| author_sort | Xu, Jian-Jun |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1007/978-3-642-80435-9 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:20:53Z |
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| issn | 0172-7389 |
| language | English |
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| spelling | Xu, Jian-Jun Verfasser aut Interfacial Wave Theory of Pattern Formation Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow by Jian-Jun Xu Berlin, Heidelberg Springer Berlin Heidelberg 1998 1 Online-Ressource (XII, 296 p) txt rdacontent c rdamedia cr rdacarrier Springer Series in Synergetics 68 0172-7389 The stabiltiy mechanisms of a curved front and the pattern formation in dendrite growth and viscous fingering have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for about half a century. This book studies interfacial instability 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. It elucidates the key problems step by step and systematically derives their mathematical solutions, on the basis of the newly established interfacial wave theory. Finally, it carefully examines these results by comparisons with the available experimental results. The unified, asymptotic approach described in this book will be useful for investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamic systems. The results on global stability and selection mechanisms of pattern formation given in this book will be of particular interest to researchers. For the readers who are not familiar with this rapidly growing interdisciplinary field, this book will be a stimulating and valuable introduction Physics Mathematical physics Crystallography Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Grenzfläche (DE-588)4021991-4 gnd rswk-swf Musterbildung (DE-588)4137934-2 gnd rswk-swf Dendritische Kristallisation (DE-588)4149070-8 gnd rswk-swf Dendritische Struktur (DE-588)4313407-5 gnd rswk-swf Nichtlineare Dynamik (DE-588)4126141-0 gnd rswk-swf Hele-Shaw-Strömung (DE-588)4485695-7 gnd rswk-swf Kristallwachstum (DE-588)4123579-4 gnd rswk-swf Kristallwachstum (DE-588)4123579-4 s Dendritische Struktur (DE-588)4313407-5 s Nichtlineare Dynamik (DE-588)4126141-0 s 1\p DE-604 Grenzfläche (DE-588)4021991-4 s Musterbildung (DE-588)4137934-2 s 2\p DE-604 Hele-Shaw-Strömung (DE-588)4485695-7 s 3\p DE-604 Dendritische Kristallisation (DE-588)4149070-8 s 4\p DE-604 https://doi.org/10.1007/978-3-642-80435-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Xu, Jian-Jun Interfacial Wave Theory of Pattern Formation Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow Physics Mathematical physics Crystallography Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Grenzfläche (DE-588)4021991-4 gnd Musterbildung (DE-588)4137934-2 gnd Dendritische Kristallisation (DE-588)4149070-8 gnd Dendritische Struktur (DE-588)4313407-5 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd Hele-Shaw-Strömung (DE-588)4485695-7 gnd Kristallwachstum (DE-588)4123579-4 gnd |
| subject_GND | (DE-588)4021991-4 (DE-588)4137934-2 (DE-588)4149070-8 (DE-588)4313407-5 (DE-588)4126141-0 (DE-588)4485695-7 (DE-588)4123579-4 |
| title | Interfacial Wave Theory of Pattern Formation Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow |
| title_auth | Interfacial Wave Theory of Pattern Formation Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow |
| title_exact_search | Interfacial Wave Theory of Pattern Formation Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow |
| title_full | Interfacial Wave Theory of Pattern Formation Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow by Jian-Jun Xu |
| title_fullStr | Interfacial Wave Theory of Pattern Formation Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow by Jian-Jun Xu |
| title_full_unstemmed | Interfacial Wave Theory of Pattern Formation Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow by Jian-Jun Xu |
| title_short | Interfacial Wave Theory of Pattern Formation |
| title_sort | interfacial wave theory of pattern formation selection of dendritic growth and viscous fingering in hele shaw flow |
| title_sub | Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow |
| topic | Physics Mathematical physics Crystallography Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Grenzfläche (DE-588)4021991-4 gnd Musterbildung (DE-588)4137934-2 gnd Dendritische Kristallisation (DE-588)4149070-8 gnd Dendritische Struktur (DE-588)4313407-5 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd Hele-Shaw-Strömung (DE-588)4485695-7 gnd Kristallwachstum (DE-588)4123579-4 gnd |
| topic_facet | Physics Mathematical physics Crystallography Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Grenzfläche Musterbildung Dendritische Kristallisation Dendritische Struktur Nichtlineare Dynamik Hele-Shaw-Strömung Kristallwachstum |
| url | https://doi.org/10.1007/978-3-642-80435-9 |
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