SU Xiaohu, JIANG Jinping. Existence of Time-Dependent Global Attractors for Beam Equations[J]. Applied Mathematics and Mechanics, 2020, 41(2): 195-203. doi: 10.21656/1000-0887.400088
Citation: SU Xiaohu, JIANG Jinping. Existence of Time-Dependent Global Attractors for Beam Equations[J]. Applied Mathematics and Mechanics, 2020, 41(2): 195-203. doi: 10.21656/1000-0887.400088

Existence of Time-Dependent Global Attractors for Beam Equations

doi: 10.21656/1000-0887.400088
  • Received Date: 2019-03-06
  • Rev Recd Date: 2019-04-26
  • Publish Date: 2020-02-01
  • The existence of time-dependent global attractors for beam equations was studied. Based on the existence theorem for time-dependent global attractors, if nonlinear term f met the critical increase condition, the asymptotic compactness of process family {U(t,τ)} corresponding to the beam equations was proved with the prior estimate method and the operator decomposition method when the coefficient was related to time t.In turn, the existence and regularity of the time-dependent global attractors for beam equations were obtained.
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