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<p>This manuscript focuses on a suspension bridge system where the deck is modeled by the Timoshenko-Ehrenfest theory free of the second frequency spectrum. The existence and uniqueness of weak and strong solutions are proved by the Faedo-Galerkin method. The exponential decay is obtained without any restrictions on the coefficients of the system. The energy method is used for exponential stability, which consists of constructing a Lyapunov functional using suitable multipliers.</p>

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SUSPENSION BRIDGE IN TRUNCATED TIMOSHENKO-EHRENFEST THEORY WITH FRACTIONAL LAPLACIAN DAMPING

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月27日

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  • Carlos Alberto Raposo,
  • Isaac Elishakoff,
  • Luiz Gutemberg

摘要

This manuscript focuses on a suspension bridge system where the deck is modeled by the Timoshenko-Ehrenfest theory free of the second frequency spectrum. The existence and uniqueness of weak and strong solutions are proved by the Faedo-Galerkin method. The exponential decay is obtained without any restrictions on the coefficients of the system. The energy method is used for exponential stability, which consists of constructing a Lyapunov functional using suitable multipliers.