Central Library

The mathematics of shock reflection-diffraction and von Neumann's conjectures / (Record no. 81371)

000 -LEADER
fixed length control field 05964cam a2200745Ii 4500
001 - CONTROL NUMBER
control field ocn984651973
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220908100125.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170405s2018 nyu ob 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2017008667
040 ## - CATALOGING SOURCE
Original cataloging agency DEGRU
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency DEGRU
Modifying agency DEBBG
-- OCLCQ
-- JSTOR
-- TXM
-- OCLCO
-- EBLCP
-- YDX
-- EZ9
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-- OCLCQ
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-- IEEEE
-- AAA
-- OCLCO
019 ## -
-- 1005930868
-- 1011104535
-- 1019657762
-- 1175629261
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781400885435
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1400885434
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780691160542
Qualifying information (hardcover : alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0691160546
Qualifying information (hardcover : alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780691160559
Qualifying information (pbk. : alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0691160554
Qualifying information (pbk. : alk. paper)
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier AU@
System control number 000062580087
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier AU@
System control number 000067041221
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)984651973
Canceled/invalid control number (OCoLC)1005930868
-- (OCoLC)1011104535
-- (OCoLC)1019657762
-- (OCoLC)1175629261
037 ## - SOURCE OF ACQUISITION
Stock number 22573/ctt1jjqptf
Source of stock number/acquisition JSTOR
037 ## - SOURCE OF ACQUISITION
Stock number 9452661
Source of stock number/acquisition IEEE
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC168.85.S45
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT000000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 531/.1133
Edition number 23
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Chen, Gui-Qiang,
Dates associated with a name 1963-
Relator term author.
9 (RLIN) 64921
245 14 - TITLE STATEMENT
Title The mathematics of shock reflection-diffraction and von Neumann's conjectures /
Statement of responsibility, etc. Gui-Qiang G. Chen, Mikhail Feldman.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Princeton :
Name of producer, publisher, distributor, manufacturer Princeton University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2018.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice �2018
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xiv, 814 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Annals of mathematics studies ;
Volume/sequential designation number 197
520 ## - SUMMARY, ETC.
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.
546 ## - LANGUAGE NOTE
Language note In English.
588 0# - SOURCE OF DESCRIPTION NOTE
Source of description note Online resource; title from PDF title page (publisher's Web site, viewed Feb. 24, 2017).
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note I. Shock reflection-diffraction, nonlinear conservation laws of mixed type, and von Neumann's conjectures -- Shock reflection-diffraction, nonlinear partial differential equations of mixed type, and free boundary problems -- Mathematical formulations and main theorems -- Main steps and related analysis in the proofs of the main theorems -- II. Elliptic theory and related analysis for shock reflection-diffraction -- Relevant results for nonlinear elliptic equations of second order -- Basic properties of the self-similar potential flow equation -- III. Proofs of the main theorems for the sonic conjecture and related analysis -- Uniform states and normal reflection -- Local theory and von Neumann's conjectures -- Admissible solutions and features of problem 2.6.1 -- Uniform estimates for admissible solutions -- Regularity of admissible solutions away from the sonic arc -- Regularity of admissible solutions near the sonic arc -- Iteration set and solvability of the iteration problem -- Iteration map, fixed points, and existence of admissible solutions up to the sonic angle -- Optimal regularity of solutions near the sonic circle -- IV. Subsonic regular reflection-diffraction and global existence of solutions up to the detachment angle -- Regularity of admissible solutions near the sonic arc and the reflection point -- Existence of global regular reflection-diffraction solutions up to the detachment angle -- V. Connections and open problems -- The full Euler equation and the potential flow equation -- Shock reflection-diffraction and new mathematical challenges.
590 ## - LOCAL NOTE (RLIN)
Local note IEEE
Provenance (VM) [OBSOLETE] IEEE Xplore Princeton University Press eBooks Library
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Shock waves
General subdivision Diffraction.
9 (RLIN) 64922
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Shock waves
General subdivision Mathematics.
9 (RLIN) 11646
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Von Neumann algebras.
9 (RLIN) 64923
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Ondes de choc
General subdivision Math�ematiques.
9 (RLIN) 64924
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Alg�ebres de Von Neumann.
9 (RLIN) 64925
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS
General subdivision General.
Source of heading or term bisacsh
9 (RLIN) 4635
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Shock waves
General subdivision Diffraction.
Source of heading or term fast
Authority record control number or standard number (OCoLC)fst01116734
9 (RLIN) 64922
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Von Neumann algebras.
Source of heading or term fast
Authority record control number or standard number (OCoLC)fst01169167
9 (RLIN) 64923
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
9 (RLIN) 3294
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
9 (RLIN) 3294
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Feldman, Mikhail,
Dates associated with a name 1960-
Relator term author.
9 (RLIN) 64926
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Note Druck-Ausgabe
International Standard Book Number 9780691160559
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Annals of mathematics studies ;
Volume/sequential designation no. 197.
9 (RLIN) 64927
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452661">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452661</a>
938 ## -
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Koha item type eBooks
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