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<p>This study examines the well-posedness and asymptotic behavior of a nonlinear suspension bridge with a deck modeled according to the Bresse vibration theory. We establish the existence and uniqueness of global solutions by means of semigroup theory of linear operators, which gives rise to a dynamical system of solutions. From the perspective of quasi-stability properties, we prove the existence of a global and exponential attractor for the dynamical system and the finiteness of the fractal dimension and the regularity of the attractor. Finally, we establish conditions for a finite set of bounded linear functionals defined on phase space to be a set of determining functionals for the dynamical system.</p>

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Well-Posedness and Existence of Global and Exponential Attractors for a Nonlinear Model of a Bresse-Type Deck Bridge

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月6日

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  • Sebastião M. S. Cordeiro,
  • Manoel J. Dos Santos,
  • Carlos A. Raposo,
  • Luiz G. R. Miranda

摘要

This study examines the well-posedness and asymptotic behavior of a nonlinear suspension bridge with a deck modeled according to the Bresse vibration theory. We establish the existence and uniqueness of global solutions by means of semigroup theory of linear operators, which gives rise to a dynamical system of solutions. From the perspective of quasi-stability properties, we prove the existence of a global and exponential attractor for the dynamical system and the finiteness of the fractal dimension and the regularity of the attractor. Finally, we establish conditions for a finite set of bounded linear functionals defined on phase space to be a set of determining functionals for the dynamical system.