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EXPONENTIAL ATTRACTOR FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING TERM 被引量:1

EXPONENTIAL ATTRACTOR FOR THE GENERALIZEDSYMMETRIC REGULARIZED LONG WAVEEQUATION WITH DAMPING TERM
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摘要 The global fast dynamics for the generalized symmetric regularized long wave equation with damping term is considered. The squeezing property of the nonlinear semi_group associated with this equation and the existence of exponential attractor are proved. The upper bounds of its fractal dimension are also estimated. The global fast dynamics for the generalized symmetric regularized long wave equation with damping term is considered. The squeezing property of the nonlinear semi_group associated with this equation and the existence of exponential attractor are proved. The upper bounds of its fractal dimension are also estimated.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第3期283-291,共9页 应用数学和力学(英文版)
基金 ProjectsupportedbytheNationalNaturalScienceFoundationofChina (No .1 0 2 71 0 3 4)
关键词 symmetric regularized long wave equation asymptotic behavior squeezing property exponential attractor symmetric regularized long wave equation asymptotic behavior squeezing property exponential attractor
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