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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(see[2,12,6l).In[7]…  相似文献
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1 IntroductionPattern formation in a thin layer of fluid heated from below or above is one of the classicalexamples of weakly non-linear phenomena, where the system evolution is described in terms ofa narrow band of linearly unstable modes. The case of a fluid layer confined between poorlyconduction boundaries leads to a situation in which the critical wavelength for the onset ofconvection diverges, as the vatio of diffusivities of the fluid to boundaries increases. The effectappears both in b…  相似文献
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1 IntroductionInthispaper,weconsiderthefollowingperiodicinitialvalueproblemforthesystemofGinzburg LandauequationscoupledwithBBMequations:x∈Rεt+ με-(α1+iα2 )εxx+ (β1+iβ2 ) |ε|2 ε-iδnε=g1(x) ,(1 .1 )nt+ f(n) x+λn-αnxx-nxxt+ |ε|2 x =g2 (x) ,(1 .2 )ε(x+ 2π ,t) =ε(x ,t) ,n(x + 2π ,t) =n(x ,t) ,(1 .3)ε(x ,0 )…  相似文献
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1. IntroductionThe infinite dimensional dynamical systems which are defined by nonlinear evolutionequations have a lot of properties sindlar to what the differential dynamical system8 havehad, such as attractor and inertia1 manifold. However, because of spectral barriers and spec-tra1 gap conditions, for many dissipative evolution equations such as the 2D Navior-Stokesequations, the existence of an inertial manifOld still remains to be a precarious question. Themajor difference between inert…  相似文献
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本文利用挤压性质和算子分解方法证明了Ginzburg-Landau-BBM耦合方程组周期初边值问题指数吸引子的存在性.  相似文献
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