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THE FINITE DIMENSIONAL BEHAVIOUR FOR THE HIGHER-ORDER NONLINEAR GINZBURG-LANDAU SYSTEM IN n SPATIAL DIMENSIONS

THE FINITE DIMENSIONAL BEHAVIOUR FOR THE HIGHER-ORDER NONLINEAR GINZBURG-LANDAU SYSTEM IN n SPATIAL DIMENSIONS
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摘要 In this paper, we study the 2m-order nonlinear Ginzburg-Landau system in n spatial dimensions. We show the existence and uniqueness of the global generalized solution, and the existence of the global attractor for this system, and establish the estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractor. In this paper, we study the 2m-order nonlinear Ginzburg-Landau system in n spatial dimensions. We show the existence and uniqueness of the global generalized solution, and the existence of the global attractor for this system, and establish the estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractor.
作者 黄海洋
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2000年第4期386-395,共10页 应用数学学报(英文版)
基金 the National Natural Science Foundation of China (No.19571010).
关键词 Generalized solution global attractor Hausdorff dimension fractal dimension Ginzburg-Landau equat? Generalized solution global attractor Hausdorff dimension fractal dimension Ginzburg-Landau equat?
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参考文献4

  • 1H.T. Moon,P. Huerre,L.G. Redekopp.Transitions to Chaos in the Ginzburg-Landau Equation[].Physica D Nonlinear Phenomena.1983
  • 2Temam,R. Infinite Dimensional Dynamical Systems in Mechanics and Physics . 1988
  • 3C.R. Doering,J.D. Gibbon,C.D. Levermore.Weak Strong Solutions of the Complex Ginzburg-LandauEquation[].Physica D Nonlinear Phenomena.1994
  • 4J.L. Lions.Quelques aux Methodes de Resolution des Problemes aus Limites non Lineaires[]..1969

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