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Issue 2
Jul.  2016
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LIU Ting-Ting, MA Qiao-Zhen. Existence of time-dependent global attractors for plate equations[J]. Journal of East China Normal University (Natural Sciences), 2016, (2): 35-44. doi: 2016.02.005
Citation: LIU Ting-Ting, MA Qiao-Zhen. Existence of time-dependent global attractors for plate equations[J]. Journal of East China Normal University (Natural Sciences), 2016, (2): 35-44. doi: 2016.02.005

Existence of time-dependent global attractors for plate equations

doi: 2016.02.005
  • Received Date: 2015-04-08
  • Publish Date: 2016-03-25
  • The concept of time-dependent global attractors was recently presented by Di Plinio, Temam et al.~By using the skill of the operator decomposition, the asymptotic compactness of a family process \{U(t,\tau)\} corresponding to the plate equations with the coefficient dependent on time was proved,~and then the existence of time-dependent global attractors as well as the regularity were obtained under the condition that f satisfies the critical exponent growth
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  • [1] DI PLINIO F, DUANE G S, TEMAM R. Time-dependent attractor for the oscillon equation~[J]. Discrete Contin Dyn Syst, 2011, 29: 141-167.
    [2]CONTI M, PATA V, TEMAM R. Attractors for processes on time-dependent spaces: Applications to wave equations [J]. J Differential Equations, 2013, 255: 1254-1277.
    [[3] DI PLINIO~F, DUANE~G~S, TEMAM~R. The 3-dimensional oscillon equation~[J]. Boll Unione Mat Ital, 2012, 5(1): 19-53.
    [4] WOINOWSKY-KRIEGER S. The effect of axial force on the vibration of hinged bars~[J]. J Appl Mech, 1950,~17: 35-36.
    [5] BALL J M, LAX D. Initial-boundary value problems for an extensible beam~[J]. J Math Anal Appl, 1973, 42: 61-90.
    [6] KHANMAMEDOV A K. Existence of a global attractor for the plate equation with a critical exponent in an unbounded domain~[J]. Appl Math Lett, 2005, 18: 827-832.
    [7] KHANMAMEDOV A K. Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain~[J]. J Differential Equations, 2006, 225: 528-548.
    [8] XIAO H B. Asymptotic dynamtics of plate equations with a critical exponent on unbounded domain~[J]. Nonl Anal, 2009, 70: 1288-1301.
    [9] YANG L, ZHONG C K. Global attractor for plate equation with nonlinear damping~[J], Nonl Anal, 2008, 69: 3802-3810.
    [10] YANG L. Uniform attractor for non-autonomous plate equation with a localized damping and a critical nonlinearity~[J]. J Math Anal Appl, 2008, 338(2): 1243-1254.
    [11] MA W J, MA Q Z. Attractors for stochastic strongly damped plate equations with additive noise~[J]. Electron J Differential Equations, 2013, 12(3): 1501-1526.
    [12] BABIN A V, VISHIK M I. Attractors of Evolution Equations~[M].Amsterdam: North-Holland, 1992.
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