Then , in secondary part , we consider the existence of the global attractor and the time periodic solution for generlized complex ginzburg - landau equation in three dimensions space 第二部分，考虑广义ginzburg - landau方程在三维空间的整体吸引子的存在性和时间周期解的存在性。
When temperature is very close to the temperature of phase transition , critical phenomena appear in the system . fluctuation of order parameters leads to the failure of landau theory of phase transition 但是，在充分接近相变点时，系统出现临界现象，序参量有显著的涨落，这导致landau理论的失效。
This topic combined with the second one imply that we partly reply the open problem about the existence of global smooth solution for multidimensional landau - lifshitz equations with initial - boundary conditions 因此本课题和上一课题意味着我们部分地回答了landau - lifshitz方程整体光滑解的存在性问题。
In chapter 6 , it ' s the secondary part of this dissertation , we study the existence of the global attractor for the generalized complex ginzburg - landau equation with derivative term in three dimensions space 第六章，它是论文的第二部分，研究带导数项的广义ginzburg - landau方程在三维空间的整体吸引子的存在性。
Cumulative integral is used to research the phenomenon . comparing this conclusion with that of applicable scope of landau theory , we discuss the relation between them and the essence of coefficient k and correlation length 文中用累积积分进行研究，联系landau理论在临界区的适用性，探讨ginzburg梯度项系数k与关联长度的实质。
The nonparallel linear stability of the two - dimensional and three - dimensional disturbance waves are studied by the parabolized stability equation which is developed in recent years and the local method based on the landau expansion 采用近年来新发展的抛物化稳定性方程和利用landau展开式的局部法方程,分别研究二维和三维线性非平行流稳定性问题。
We deduce the correlation functions of order parameter by hyperboloid function ( t > tc , t < tc ) , and then compare the two functions to get the change of specific heat , and to get correlation length ? as the token of correlation degree 利用残数定理分别求t t _ c ， t t _ c时的关联函数，发生相变时比热的跃变，找到表征关联的特征量? ?关联长度，进一步确定landau理论的适用范围。
In first part we consider the existence of the global attractor the complex ginzburg - landau equation in three dimen - sions space , the regularity of the global attractor , the exponential attractors and the existence of the global attractor in whole r ~ ( 3 ) 首先，在第一部分，考虑ginzburg - landau方程在三维空间的整体吸引子的存在性，整体吸引子的正则性，指数吸引子和三无界区域r ~ 3上的整体吸引子。
In chapter 3 , we study the existence of global smooth solution and regularity of the global attractor for the complex ginzburg - landau equation in three dimensions space . first , applying a , series fine estimate , we prove existence of global smooth solution 第三章，在三维空间中研究ginzburg - landau方程整体光滑解的存在性和整体吸引子的正则性，首先利用系列精细的估计证明整体光滑解的存在性。
The effect of the form of electron distribution function on electron temperature was also discussed in the first part . in the second part , starting from kinetic equations , we discussed stimulated raman scattering ( srs ) by including both landau damping ( ld ) and the collisional damping ( cd ) 第二部分从含有限碰撞效应的vlasov - maxwell方程组出发，首先推得含碰撞阻尼和landau阻尼的描述受激raman散射的耦合方程组，然后讨论受激raman散射的线性增长率。
