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nam a22 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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240219b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780691160559 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
531.1133 |
| Item number |
CHE |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Chen, Gui-Qiang |
| 245 ## - TITLE STATEMENT |
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| Title |
The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Princeton University Press, |
| Place of publication, distribution, etc |
Princeton : |
| Date of publication, distribution, etc |
2018 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xiv, 814 p. ; |
| Other physical details |
ill., |
| Dimensions |
24 cm. |
| 365 ## - TRADE PRICE |
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| Price amount |
84.00 |
| Price type code |
$ |
| Unit of pricing |
86.50 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Annals of mathematics studies |
| Volume number/sequential designation |
v.197 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development.Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in the form of nonlinear conservation laws-PDEs of divergence form. When a shock hits an obstacle, shock reflection-diffraction configurations take shape. To understand the fundamental issues involved, such as the structure and transition criteria of different configuration patterns, it is essential to establish the global existence, regularity, and structural stability of shock reflection-diffraction solutions. This involves dealing with several core difficulties in the analysis of nonlinear PDEs-mixed type, free boundaries, and corner singularities-that also arise in fundamental problems in diverse areas such as continuum mechanics, differential geometry, mathematical physics, and materials science. Presenting recently developed approaches and techniques, which will be useful for solving problems with similar difficulties, this book opens up new research opportunities. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
A priori estimated |
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| Topical term or geographic name as entry element |
Accuracy and precision |
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| Topical term or geographic name as entry element |
Algorithm |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Feldman, Mikhail |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |