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ATTRACTORS FOR THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN 被引量:1

ATTRACTORS FOR THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN
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摘要 By the interpolating inequality and a priori estimates in the weighted space,the existence of the global solutions for the Ginzburg-Landau equation coupled with the BBM equation in an unbounded domain is considered, and the existence of the maximal attractor is obtained. By the interpolating inequality and a priori estimates in the weighted space,the existence of the global solutions for the Ginzburg-Landau equation coupled with the BBM equation in an unbounded domain is considered, and the existence of the maximal attractor is obtained.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2000年第1期122-130,共9页 数学物理学报(B辑英文版)
关键词 Unbounded domain weighted space ATTRACTOR Ginzburg-Landau-BBM equations Unbounded domain,weighted space,attractor,Ginzburg-Landau-BBM equations
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参考文献12

  • 1BolingGUO,MurongJIANG.Finite Dimensional Behavior of Global Attractors for Weakly Damping Ginzburg-Landau Equations Coupling with BBM Equations[J].Communications in Nonlinear Science and Numerical Simulation,1998,3(1):10-14. 被引量:3
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同被引文献10

  • 1郭柏灵.BBM—非线性Schcrdinger耦合方程组的整体解[J]工程数学学报,1987(03).
  • 2Appert K,Vaxlavik J.Dynamics of coupled solitons. The Physics of Fluids . 1977
  • 3Makhankov,V.G.Dynamics of classical solitary-wave. Phys.Rep.A . 1978
  • 4Temam,R. Infinite-Dimensional Dynamical Systems in Mechanics and Physics . 1988
  • 5Zhou Y L.Applications of Discrete Functional Analysis to the Finite Difference Method. . 1990
  • 6Gibbon J,Thornhill S.G,Wardrop M. J. et al.On the theory of Langmuir solitons. Journal of Plasma Physics . 1977
  • 7Guo B.L,Chang Q.S.Attractors and dimensions for discretizations of a generalized ginzburg-Landau equation. J. Partial Diff Equ . 1996
  • 8Guo B.L,Cheng F.X.Finite dimensional behavior of attractors for weakly damping Schrodingercoupled with KdV equations. Nonli. Anal. Theo. Method & Appl . 1997
  • 9Lu B.N.Attractor for discretization of the Landau-Lifschitz equation of the ferromagnetic spinchain. . 1998
  • 10BolingGUO,MurongJIANG.Finite Dimensional Behavior of Global Attractors for Weakly Damping Ginzburg-Landau Equations Coupling with BBM Equations[J].Communications in Nonlinear Science and Numerical Simulation,1998,3(1):10-14. 被引量:3

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