1.

Record Nr.

UNINA9910820405903321

Autore

Doelman A.

Titolo

A stability index analysis of 1-D patterns of the Gray-Scott model / / Arjen Doelman, Robert A. Gardner, Tasso J. Kaper

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2002]

©2002

ISBN

1-4704-0330-7

Descrizione fisica

1 online resource (82 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 737

Disciplina

510 s

515/.353

Soggetti

Reaction-diffusion equations

Perturbation (Mathematics)

Eigenvalues

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 155, number 737 (third of 5 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 63-64).

Nota di contenuto

""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""