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您的检索式：作者名="LIDonglong"
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| 1 | On the Cauchy problem of generalized complex Ginzburg-Landau equation in three dimensions显示文摘The generlized complex Ginzburg-Landau equation (CGL) under periodic boundary condition is studied. The existence of global solution for this equation is established under appropriate assumption on a nonlinear σ, which rigorously establishes the foundation for further investigation of this type of model. | LIDonglong GUOBoling | 2003 | Progress in Natural Science:Materials International2003，13，9： | 5 |
| 2 | EXPONENTIAL ATTRACTOR FOR COMPLEX GINZBURG—LANDAU EQUATION IN THREE—DIMENSIONS显示文摘In this paper,we consider the complex Ginzburg-Landau equation (CGL) in three spatial dimensions ut=ρu+(1+iγ)△u-1+iμ—|u|^2σu,(1) u(0,x)=u0(x),(2) where u is an unknown complex-value function defined in 3+1 dimensional space-time R^3+1,△ is a Laplacian in R^3,ρ>0,γ,μ are real parameters,Ω∈R^3 is a bounded domain,We show that the semigroup S(t) associated with the problem(1),(2) satisfies Lipschitz continuity and the squeezing property for the initial-value problem(1),(2) with the initial-value condition belonging to H^2(Ω),therefore we obtain the existence of exponential attractor. | GuoBoling LiDonglong | 2003 | Journal of Partial Differential Equations2003，16，2： | 0 |
| 3 | EXISTENCE OF PERIODIC SOLUTIONS FOR 3-D COMPLEX GINZBERG-LANDAU EQUATION显示文摘In this paper, the authors consider complex Ginzburg-Landau equation(CGL) in three spatial dimensions ut=ρu+(1+iγ)△u-(1+iμ)|u|^2σu+f,where u is an unknown complex-value function defined in 3+ 1 dimensional space-time R^3+1,△ is a Laplacian in R^3, ρ > 0, γ μ are real parameters, Ω∈R^3 is a bounded domain. By using the method of Galeerkin and Faedo-Schauder fix point theorem we prove the existence of approximate solution uN of the problem. By establishing the uniform boundedness of the norm ||uN|| and the standard compactness arguments, the convergence of the approximate solutions is considered. Moreover, the existence of the periodic solution is obtained. | LiDonglong GuoBoling | 2004 | Journal of Partial Differential Equations2004，17，1： | 0 |
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