LEADER 02483nam 2200601 450 001 9910820405903321 005 20180731044909.0 010 $a1-4704-0330-7 035 $a(CKB)3360000000464921 035 $a(EBL)3114483 035 $a(SSID)ssj0000976563 035 $a(PQKBManifestationID)11524876 035 $a(PQKBTitleCode)TC0000976563 035 $a(PQKBWorkID)11035705 035 $a(PQKB)10313989 035 $a(MiAaPQ)EBC3114483 035 $a(RPAM)12504445 035 $a(PPN)195416236 035 $a(EXLCZ)993360000000464921 100 $a20010816h20022002 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA stability index analysis of 1-D patterns of the Gray-Scott model /$fArjen Doelman, Robert A. Gardner, Tasso J. Kaper 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2002] 210 4$d©2002 215 $a1 online resource (82 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 737 300 $a"Volume 155, number 737 (third of 5 numbers)." 311 $a0-8218-2739-1 320 $aIncludes bibliographical references (pages 63-64). 327 $a""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. The Gray-Scott Model: Background""; ""1.2. Asymptotic Analysis of the Wave""; ""1.3. The Nonlocal Eigenvalue Problem (NLEP)""; ""1.4. The Main Results""; ""Chapter 2. The Evans Function and the Stability Index""; ""2.1. The Linearized Equations""; ""2.2. The Evans Function""; ""2.3. The Stability Index""; ""2.4. Outline and Endgame of the Proof""; ""Chapter 3. Tracking the Fast Subbundle""; ""3.1. Asymptotic and Reduced Equations in the Fast Scaling""; ""3.2. A Large I?» Estimate"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 737. 606 $aReaction-diffusion equations 606 $aPerturbation (Mathematics) 606 $aEigenvalues 615 0$aReaction-diffusion equations. 615 0$aPerturbation (Mathematics) 615 0$aEigenvalues. 676 $a510 s 676 $a515/.353 700 $aDoelman$b A.$0536224 702 $aGardner$b Robert A.$f1950- 702 $aKaper$b Tasso J.$f1964- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820405903321 996 $aA stability index analysis of 1-D patterns of the Gray-Scott model$94108105 997 $aUNINA