| ATTRACTORS FOR THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN |
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| 作者姓名： | 郭柏灵 蒋慕蓉 |
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| 作者单位： | Guo Boling (Institute of Applied Physics aud Computational Mathematics，P.O.Box 8009，Beijiug 100088，China |
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| 摘 要： | 1IntroductionInthispaper,weintendtostudytheexistenceoftheglobalattractorforthefollowinginitialvalueproblemofGinzburgLandauequationcoupledwithBBMequationinanunboundeddomainR=(-oo,oo)wheree(x,f)isacomplexfunction,n(x,t)isarealscalarfunction,pty,6,T,cr1,a2,P1,P2arerealcoustants,andg1(x),g2(x)aregivenrealfunctions.ThisproblemdescribesthenonlinearinteractionsbetweentheLangnluirwaveandtheionacousticwaveinplasmaphysics,E(z,t)denoteselectricfield,n(x,t)betheperturbationofdensity(see2,12,6l).In7]…
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ATTRACTORS FOR THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN |
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| Guo Boling,JIANG Murong.ATTRACTORS FOR THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN[J].Acta Mathematica Scientia,2000,20(1). |
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| Authors: | Guo Boling JIANG Murong |
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| Abstract: | By the interpolating inequality and a priori estimates in the weighted space,the existence of the global solutions for the Ginzburg-Landau equation coupled with the BBM equation in an unbounded domain is considered, and the existence of the maximal attractor is obtained. |
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| Keywords: | Unbounded domain weighted space attractor Ginzburg-Landau-BBM equations |
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