ginzburg landau equation 中文意思是什麼
ginzburg landau equation
解釋
金茲堡 朗道方程-
The existence of global solution of complex ginzburg - landau equation
方程整體解的存在性 -
Finite dimensional behavior for the nonautonomous ginzburg - landau equation
方程的有限維行為 -
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，考慮ginzburg - landau方程在三維空間的整體吸引子的存在性，整體吸引子的正則性，指數吸引子和三無界區域r ~ 3上的整體吸引子。 -
Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations
第三部分：在一維情形，我們考慮了一類帶導數項的ginzburg ? landau方程，通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計，證明了當粘性系數趨于零時， ginzburg ? landau方程的解逼近相應的帶導數項的schr （ ? ） dinger方程的解，並給出了最優收斂速度估計；在二維情形，我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性，以及在某種特殊情形下， gl方程的解趨近於相應的帶導數項的schr （ ? ） dinger方程的弱解；在一般情形下，我們討論了一類ginzburg ? landau方程的非齊次邊值問題，通過幾個積分恆等式，同時估計解的h ~ 1模及法向導數在邊界上的模，證明了整體弱解的存在性。 -
We mainly investigate the second kind. linear stability analysis and numerical simulations will be used, and the evolution equation of a nonlinear resonator filled with kerr medium, the mean - field model for a nonlinear resonator filled with two - level atomic medium, second - harmonic generation system ( shg ) with quadratically nonlinear material, complex ginzburg - landau equation ( cgle ), and coupled map lattice model ( cml ) will be considered in this dissertation. the paper can be divided into three parts : pattern formation, pattern selection and control of stc, the synchronization and applications of stc
以含有kerr介質非線性光學諧振腔發展方程、含有二能級原子介質的非線性光學諧振腔平均場方程、含有x ~ 2介質的光學二次諧波產生系統模型、及復金茲伯格?朗道方程和耦合映射模型等動力學系統為例，採用線性穩定性分析及數值實驗方法，研究了斑圖形成、斑圖的選擇和時空混沌的控制、時空混沌的同步及其在保密通信方面的應用等三大部分內容。 -
Global existence and uniqueness of solution for complex ginzburg landau equation in three dimensions
方程的整體解的存在惟一性 -
In chapter 2, we study the existence of the global attractor the complex ginzburg - landau equation in three dimensions space. first, we consider existence of local solu - tion. for a given perturbation n ( u ), we prove n ( u ) is contractive and locally lipschitz continuous
在第二章，考慮ginzburg - landau方程在三維空間的整體吸引子的存在性，首先考慮ginzburg - landau方程的局部解的存在性，對於一給定的擾動項n （ u ） ，證明n （ u ）是收縮的且是局部lipschitz連續的。 -
In chapter 1, we briefly in - troduce the background in physics and developments in the ginzburg - landau equation
在第一章，介紹ginzburg - landau方程的物理背景，研究狀況及本文的工作內容。 -
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，考慮廣義ginzburg - landau方程在三維空間的整體吸引子的存在性和時間周期解的存在性。 -
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，它是論文的第二部分，研究帶導數項的廣義ginzburg - landau方程在三維空間的整體吸引子的存在性。
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