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Asymptotic Behavior for Constant Equilibria for Ginzburg-Landau Equation With Delay(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2008年04期
Page:
14-20
Research Field:
数学
Publishing date:

Info

Title:
Asymptotic Behavior for Constant Equilibria for Ginzburg-Landau Equation With Delay
Author(s):
Zhang HaixiaGao Hongjun
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
Keywords:
Com plex G inzburg-Landau equation de lay stab ility asymptotic behav ior
PACS:
O175.29
DOI:
-
Abstract:
The asymptotic behav ior for Comp lex G inzburg-Landau equation w ith de lay is d iscussed. Linear ized and nonlinea r stab ility o f zero for Comp lex G inzburg-Landau equation w ith first boundary cond ition unde r som e cond itions on the param eters are obta ined; also asym ptotic behav io r o f constant so lu tions for Comp lex G inzburg-Landau equation w ith second boundary cond ition under som e cond itions on the param eters and delay are obta ined

References:

[ 1] Doe ring C, G ibbon J D, H o lm D, et a.l Low-d im ensiona l behav ior in the com plexG inzburg-Landau equa tion[ J] . Non linearity,1988, 1( 2): 279-309.
[ 2] Gh idag lia JM, H eron B. D im ension of the attracto r assoc iated to the G inzburg-Landau equation[ J] . Physics D, 1987, 28( 3) : 282-304.
[ 3] Jimbo S C, M or ita Y. Theo ry and applications o f pa rtia l functiona l differential equations to a G inzburg-Landau equa tion in higher space d imensions[ J]. Non linear Ana lysis, Theo ry, M ethods and App lica tion, 1994, 22( 6) : 753-770.
[ 4] Casten R G, H olland C J. Instab ility results for reac tion diffusion equa tion w ith Neum ann bounda ry conditions[ J]. Journal o f Differential Equa tions, 1978, 27( 2): 266-273.
[ 5] W u J H. Theory and app lications of partia l functiona l d ifferential equations[M ] / / AppliedM a them a tica l Sciences. New Yo rk: Spr ing er-Ve rlag, 1996.
[ 6] Casa lA C, D iaz J I. On the com plex G inzbu rg-Landau equation w ith a de layed feedback[ J]. M athem atica lM odels and Methods in Applied Sc iences, 2006, 16( 1): 1-17.
[ 7] StraussW, W ang G. Instab ility o f trave ling w aves of the Kuram oto-Sivashinsky equation[ J]. China Annua lM ath B, 2002,23( 2): 267-276.
[ 8] GaoH J, L iu C C. Instability of trave lingw aves of the Convectiv e-Diffusive Cahn-H illiard equa tion[ J]. Chaos, So litions and Frac tals, 2004, 20( 2): 253-258.

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Last Update: 2013-05-05