Stability Index Analysis of 1-D Patterns of the Gray-Scott Model. (Record no. 69978)
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| 000 -LEADER | |
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| fixed length control field | 02986nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114483 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124609.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2002 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470403300 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821827390 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114483 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114483 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11041261 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922964856 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA377 -- .D64 2002eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;515/.353 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Doelman, Arjen. |
| 245 10 - TITLE STATEMENT | |
| Title | Stability Index Analysis of 1-D Patterns of the Gray-Scott Model. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2002. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2002. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (82 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 |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.155 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Preface -- Chapter 1. Introduction -- 1.1. The Gray-Scott Model: Background -- 1.2. Asymptotic Analysis of the Wave -- 1.3. The Nonlocal Eigenvalue Problem (NLEP) -- 1.4. The Main Results -- Chapter 2. The Evans Function and the Stability Index -- 2.1. The Linearized Equations -- 2.2. The Evans Function -- 2.3. The Stability Index -- 2.4. Outline and Endgame of the Proof -- Chapter 3. Tracking the Fast Subbundle -- 3.1. Asymptotic and Reduced Equations in the Fast Scaling -- 3.2. A Large λ Estimate -- 3.3. Invariant Sets for the Projectivized Flow -- 3.4. Corollaries of the Fast Tracking Theorem -- Chapter 4. The Slow Subbundle -- 4.1. Definition of the Slow Solution -- 4.2. Tracking the Slow Solution over the Slow Fields -- 4.3. Tracking the Slow Solution over the Fast Field -- 4.4. The Construction of ε[sub(8)] (K,δ) -- Chapter 5. Calculation of the Stability Index -- 5.1. The Strongly Unstable Regime: 0≤β< -- 1/2 -- 5.2. The Other Regimes: 1/2≤β< -- 1 -- Chapter 6. Concluding Remarks -- Bibliography. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Reaction-diffusion equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Perturbation (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Eigenvalues. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Gardner, Robert A. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kaper, Tasso J. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Doelman, Arjen |
| Title | Stability Index Analysis of 1-D Patterns of the Gray-Scott Model |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2002 |
| International Standard Book Number | 9780821827390 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114483">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114483</a> |
| Public note | Click to View |
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