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GLOBAL ATTRACTOR AND ITS DIMENSION ESTIMATES FOR THE GENERALIZED DISSIPATIVE KdV EQUATION ON R 被引量：2

GLOBAL ATTRACTOR AND ITS DIMENSION ESTIMATES FOR THE GENERALIZED DISSIPATIVE KdV EQUATION ON R
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摘要 In this paper we prove the existence of global attractor for the generalized dissipative KdVequation on R, and give an upper bound for its Hausdorff and fractal dimensions. In this paper we prove the existence of global attractor for the generalized dissipative KdVequation on R, and give an upper bound for its Hausdorff and fractal dimensions.
作者 郭柏灵 吴永辉
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1998年第3期252-259,共8页 应用数学学报（英文版）
关键词 Global attractor Hausdorff and fractal dimensions KdV equation weighted norm . Global attractor, Hausdorff and fractal dimensions, KdV equation, weighted norm
分类号 O177 [理学—基础数学]
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参考文献9

  • 1G.R. Sell and Y.C. YOu.Inertial Manifolds: the Non-self-adjoint Case. J.D.E . 1992
  • 2A.V. Babin.Asymptotics of Functions on Attractor for Two-dimensional Navier-Stokes System inUnbounded Plane Domain Under ∞. Mathematics of the USSR Sbornik . 1991
  • 3Guo Boling.The Viscosity Elimination Methods and the Viscosity of Difference Schemes. . 1993
  • 4Ding Xiaqi and Wu YOnghui.Global Attractor and its Finiteness of Two-dimensional Navier-StokesEquations in StriP-like Domain. Acta Mathematica Scientia . 1996
  • 5J. Ginibre and Y. Tsutsumi.Uniqueness of the Solutions for the Generalized KdV Equation. SIAM Journal on Mathematical Analysis . 1989
  • 6Guo Boling and Yang Linge.The Global Attractors of the Periodic Initial Value Problem for aCoupled Nonlinear Wave Equations. Mathematical Methods in the Applied Sciences . 1996
  • 7J.M. Ghidaglia.Weakly Damped FOrced KdV Equations Behave as a Finite Dimensional DynamicalSystem in the Long Time. J.D.E . 1988
  • 8G.E. Kenig,G. Ponce and L. Vega.On the Generalized KdV Equations. Duke Mathematical Journal . 1989
  • 9F. Abergel.Existence and Finite Dimensionality of the Global Attractor for Evolution Equations onUnbounded Domain. J.D.E . 1990

同被引文献9

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Acta Mathematicae Applicatae Sinica
1998年 第3期

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