02486nam 2200601 450 991047993430332120180731044909.01-4704-0330-7(CKB)3360000000464921(EBL)3114483(SSID)ssj0000976563(PQKBManifestationID)11524876(PQKBTitleCode)TC0000976563(PQKBWorkID)11035705(PQKB)10313989(MiAaPQ)EBC3114483(PPN)195416236(EXLCZ)99336000000046492120010816h20022002 uy| 0engur|n|---|||||txtccrA stability index analysis of 1-D patterns of the Gray-Scott model /Arjen Doelman, Robert A. Gardner, Tasso J. KaperProvidence, Rhode Island :American Mathematical Society,[2002]©20021 online resource (82 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 737"Volume 155, number 737 (third of 5 numbers)."0-8218-2739-1 Includes bibliographical references (pages 63-64).""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""Memoirs of the American Mathematical Society ;no. 737.Reaction-diffusion equationsPerturbation (Mathematics)EigenvaluesElectronic books.Reaction-diffusion equations.Perturbation (Mathematics)Eigenvalues.510 s515/.353Doelman A.536224Gardner Robert A.1950-Kaper Tasso J.1964-MiAaPQMiAaPQMiAaPQBOOK9910479934303321A stability index analysis of 1-D patterns of the Gray-Scott model2273246UNINA