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THE MATHEMATICS OF SHOCK REFLECTION-DIFFRACTION AND VON By Gui-qiang G Chen VG

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ISBN-10
0691160546
Book Title
The Mathematics of Shock Reflection-Diffraction and von Neumann's
ISBN
9780691160542
Publication Name
Mathematics of Shock Reflection-Diffraction and Von Neumann's Conjectures : (Ams-197)
Item Length
9.4in
Publisher
Princeton University Press
Publication Year
2018
Series
Annals of Mathematics Studies
Type
Textbook
Format
Hardcover
Language
English
Item Height
1.8in
Author
Mikhail Feldman, Gui-Qiang Chen
Item Width
6.3in
Item Weight
45.1 Oz
Number of Pages
832 Pages

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Product Information

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.

Product Identifiers

Publisher
Princeton University Press
ISBN-10
0691160546
ISBN-13
9780691160542
eBay Product ID (ePID)
234819594

Product Key Features

Author
Mikhail Feldman, Gui-Qiang Chen
Publication Name
Mathematics of Shock Reflection-Diffraction and Von Neumann's Conjectures : (Ams-197)
Format
Hardcover
Language
English
Publication Year
2018
Series
Annals of Mathematics Studies
Type
Textbook
Number of Pages
832 Pages

Dimensions

Item Length
9.4in
Item Height
1.8in
Item Width
6.3in
Item Weight
45.1 Oz

Additional Product Features

Series Volume Number
197
Lc Classification Number
Qc168.85.S45c44 2017
Copyright Date
2018
Target Audience
College Audience
Topic
Waves & Wave Mechanics, Algebra / General, Differential Equations / Partial, Physics / Mathematical & Computational
Lccn
2017-008667
Dewey Decimal
531/.1133
Dewey Edition
23
Illustrated
Yes
Genre
Science, Mathematics

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