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Shock Waves and Reaction-Diffu
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Item specifics
- Condition
- Book Title
- Shock Waves and Reaction-Diffusion Equations
- ISBN
- 9780387942599
About this product
Product Identifiers
Publisher
Springer New York
ISBN-10
0387942599
ISBN-13
9780387942599
eBay Product ID (ePID)
145534
Product Key Features
Number of Pages
Xxiii, 634 Pages
Language
English
Publication Name
Shock Waves and Reaction-Diffusion Equations
Publication Year
1994
Subject
Waves & Wave Mechanics, Differential Equations / Partial, Mathematical Analysis
Features
Revised
Type
Textbook
Subject Area
Mathematics, Science
Series
Grundlehren Der Mathematischen Wissenschaften Ser.
Format
Hardcover
Dimensions
Item Weight
85.4 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
93-050712
Dewey Edition
20
Series Volume Number
258
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515/.353
Table Of Content
1 Ill-Posed Problems.- 2 Characteristics and Initial-Value Problems.- 3 The One-Dimensional Wave Equation.- 4 Uniqueness and Energy Integrals.- 5 Holmgren's Uniqueness Theorem.- 6 An Initial-Value Problem for a Hyperbolic Equation.- 7 Distribution Theory.- 8 Second-Order Linear Elliptic Equations.- 9 Second-Order Linear Parabolic Equations.- 10 Comparison Theorems and Monotonicity Methods.- 11 Linearization.- 12 Topological Methods.- 13 Bifurcation Theory.- 14 Systems of Reaction-Diffusion Equations.- 15 Discontinuous Solutions of Conservation Laws.- 16 The Single Conservation Law.- 17 The Riemann Problem for Systems of Conservation Laws.- 18 Applications to Gas Dynamics.- 19 The Glimm Difference Scheme.- 20 Riemann Invariants, Entropy, and Uniqueness.- 21 Quasi-Linear Parabolic Systems.- 22 The Conley Index.- 23 Index Pairs and the Continuation Theorem.- 24 Travelling Waves.- 25 Recent Results.- Author Index.
Edition Description
Revised edition
Synopsis
For this edition, a number of typographical errors and minor slip-ups have been corrected. In addition, following the persistent encouragement of Olga Oleinik, I have added a new chapter, Chapter 25, which I titled "Recent Results." This chapter is divided into four sections, and in these I have discussed what I consider to be some of the important developments which have come about since the writing of the first edition. Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave theory. The main topics considered are L. Tartar's notion of compensated compactness, together with its application to pairs of conservation laws, and T.-P. Liu's work on the stability of viscous profiles for shock waves. In the next section, Conley's connection index and connection matrix are described; these general notions are useful in con structing travelling waves for systems of nonlinear equations. The final sec tion, Section IV, is devoted to the very recent results of C. Jones and R. Gardner, whereby they construct a general theory enabling them to locate the point spectrum of a wide class of linear operators which arise in stability problems for travelling waves. Their theory is general enough to be applica ble to many interesting reaction-diffusion systems., For this edition, a number of typographical errors and minor slip-ups have been corrected. In addition, following the persistent encouragement of Olga Oleinik, I have added a new chapter, Chapter 25, which I titled "Recent Results." This chapter is divided into four sections, and in these I have discussed what I consider to be some of the important developments which have come about since the writing of the first edition. Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave theory. The main topics considered are L. Tartar's notion of compensated compactness, together with its application to pairs of conservation laws, and T.-P. Liu's work on the stability of viscous profiles for shock waves. In the next section, Conley's connection index and connection matrix are described; these general notions are useful in con- structing travelling waves for systems of nonlinear equations. The final sec- tion, Section IV, is devoted to the very recent results of C. Jones and R. Gardner, whereby they construct a general theory enabling them to locate the point spectrum of a wide class of linear operators which arise in stability problems for travelling waves. Their theory is general enough to be applica- ble to many interesting reaction-diffusion systems.
LC Classification Number
QA299.6-433
Item description from the seller
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- 3***e (6)- Feedback left by buyer.Past 6 monthsVerified purchaseThis seller communicates very well, ships same or next day, great packing preserved the use book I bought. The book was in stellar condition also. I found this seller to be reliable and trustworthy.Design and Composition by Nathan Goldstein (1989, Trade Paperback) (#356641449939)
- h***n (102)- Feedback left by buyer.Past monthVerified purchaseWhat a wonderful book! Good condition, great quality. Looks good. Fast Postage, good packaging. Such a great and lovely thing as described. Great value! Love it! And it is a pleasant communication with the seller!
- a***n (2691)- Feedback left by buyer.Past monthVerified purchaseGreat Ebayer!!! Item as described; packed well and shipped FAST!!! Highly Recommend!!!
Seller feedback (284)
- 3***e (6)- Feedback left by buyer.Past 6 monthsVerified purchaseThis seller communicates very well, ships same or next day, great packing preserved the use book I bought. The book was in stellar condition also. I found this seller to be reliable and trustworthy.Design and Composition by Nathan Goldstein (1989, Trade Paperback) (#356641449939)
- h***n (102)- Feedback left by buyer.Past monthVerified purchaseWhat a wonderful book! Good condition, great quality. Looks good. Fast Postage, good packaging. Such a great and lovely thing as described. Great value! Love it! And it is a pleasant communication with the seller!
- a***n (2691)- Feedback left by buyer.Past monthVerified purchaseGreat Ebayer!!! Item as described; packed well and shipped FAST!!! Highly Recommend!!!