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<p>In this paper, we are concerned with 2D non-autonomous Reissner-Mindlin-Timoshenko plate systems with Laplacian damping terms and nonlinear sources terms. The global well-posedness is proved by using the theory of maximal monotone operators. And then we get the Lipschtiz stability of the solution. By establishing the existence of pullback absorbing sets and pullback asymptotic compactness of the process generated by the system, we obtain the existence of pullback attractors. The upper-semicontinuity of pullback attractors regarding the fractional exponent is also proved. It is the first time when the non-autonomous Reissner-Mindlin-Timoshenko plate systems are studied.</p>

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Pullback dynamics of 2D non-autonomous Reissner-Mindlin-Timoshenko plate systems

  • 期刊论文

  • 发表日期：

    2025年3月4日

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  • Baowei Feng,
  • Mirelson M. Freitas,
  • Anderson J. A. Ramos,
  • Manoel J. Dos Santos

摘要

In this paper, we are concerned with 2D non-autonomous Reissner-Mindlin-Timoshenko plate systems with Laplacian damping terms and nonlinear sources terms. The global well-posedness is proved by using the theory of maximal monotone operators. And then we get the Lipschtiz stability of the solution. By establishing the existence of pullback absorbing sets and pullback asymptotic compactness of the process generated by the system, we obtain the existence of pullback attractors. The upper-semicontinuity of pullback attractors regarding the fractional exponent is also proved. It is the first time when the non-autonomous Reissner-Mindlin-Timoshenko plate systems are studied.