摘要
主要研究在三维空间中周期边界条件下的复Ginzburg-Landau方程u_t=pu+(1+iγ)△u-(1+iμ)|u|^(2σ)u.不仅证明了三维复Ginzburg-Landau方程解的时间解析性,而且还讨论了它的近似惯性流形的存在性.
In the present paper, the complex Ginzburg-Landau equation（CGLE） under periodic boundary condition in three spatial dimensions ut = pu ＋ （1 ＋ iγ）Δu - （1 ＋ iμ）｜u｜2σu is investigated. The time analyticity of solution for CGLE is proved, and the approximate inertial manifolds for CCLE are studied by the analysis on some complex fields.
出处
《数学进展》
CSCD
北大核心
2013年第3期279-287,共9页
Advances in Mathematics（China）
基金
Supported by NSFC(No.11201475,No.11061003)
GXNSF(No.2013GXNSFAA019001)
