【摘 要】
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In this paper, the authors consider complex Ginzburg-Landau equation (CGL) in three spatial dimensions ut=ρu+(1+iγ) Δμ-(1+iμ) |u|2σu+f,where u is an unkn
【机 构】
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Guangxi University of Technology, Liuzou 545006, China“,”Institute of Applied Physics and Computatio
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In this paper, the authors consider complex Ginzburg-Landau equation (CGL) in three spatial dimensions ut=ρu+(1+iγ) Δμ-(1+iμ) |u|2σu+f,where u is an unknown complex-value function defined in 3+1 dimensional space-time R3+1, Δ is a Laplacian in R3, ρ ＞ 0, γ, μ are real parameters, Ω ∈ R3 is a bounded domain. By using the method of Galerkin 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 .
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