Regularity of Attractor for 3D Derivative Ginzburg-Landau Equation

来源 :第十二届全国非线性振动暨第九届全国非线性动力学和运动稳定性学术会议 | 被引量 : 0次 | 上传用户:xiaomeitomei
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In this paper,a three dimensional derivative Ginzburg-Landau equation with a periodic initial value condition is considered. Firstly,the smoothing property of the solution is obtained by a uniform priori estimates;Furthermore,the existence of the global attractors,AiCHip(Ω)Ci=2,3……)of the semi-group {S(I)(t)}t≥0 of operators generated by the equation are proved by using the compactness principle;Finally,the regularity of the global attractors is proved by the decomposition of semi-group.
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