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非线性应变波方程的指数吸引子

EXPONENTIAL ATTRACTOR OF NONLINEAR STRAIN WAVES IN ELASTIC WAVEGUIDES
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摘要 在文[1] 的基础上 ,得到了一维广义的非线性应变波方程的指数吸引子。 Based on the paper 1,we obtain the exponential attractors for the generalized nonlinear Strain waves equation in one dimension.
作者 陈玲 杜先云
出处 《西南工学院学报》 2002年第1期70-74,共5页 Journal of Southwest China Institute of Technology
关键词 非线性应变波方程 挤压性 指数吸引子 Nonlinear Strain Wave equation The Squeezing Property Exponential Attractors
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参考文献6

  • 1[1]Dai Zhengde and Du Xianyun.Global attractor for the nonlinear Strain wave in elastic waveguides[J].ACTA Math.Appl.SINICA,vol.17 No.2(2002),260~270
  • 2[2]A.M.Samsonov,E.V.Sokurinskaya.Energy exchange nonlinear waves in elastic waveguides and exteral media nonlinear waves in active media.Springer-Verlag[J].Berlin,Heidelberg,1989,99~104
  • 3[3]A.M.Samsonov.Nonlinear Strain waves in elastic waveguides[J].Nonlinears Waves in Solids,A.Jeffrey,J.Engelbrecht,1994
  • 4[4]A.M.Samsonov,E.V.Sokurinskaya.On the excitation of a longitudinal deformation soliton in a nonlinear elastic rod[J].Sov.Phys-techn.Phys.,1988,33(8):989~991
  • 5[5]Dai Zhengde and Guo Boling.Long time behavior of nonlinear Strain waves in elastic waveguides[J].J.of Partioal Diff.Eqs.,1999,12(4):301~312
  • 6[6]A.Eden,C.Foias,B.Nicolaenko,R.Teman,Exponential attractor for dissipative evolution equations,Masso Paris and J.wily collection recherchesen,Mathmatiques Appligues,1994

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