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<p>This paper is dedicated to the long-time behavior of a system of coupled one-dimensional wave equations modeling helicoidal flows of Maxwell fluid. In a scenario featuring nonlinear damping and source terms of arbitrary polynomial growth, we prove the existence of smooth finite dimensional global attractors as well as exponential attractors. We also prove that its long-time dynamics is completely determined by a finite set of linear continuous functionals.</p>

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Global Attractors and Determining Functionals for Helical Flows of Maxwell Fluid

  • 期刊论文

  • 发表日期：

    2025年12月17日

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  • M. M. Freitas,
  • N. T. Vu,
  • A. J. A. Ramos

摘要

This paper is dedicated to the long-time behavior of a system of coupled one-dimensional wave equations modeling helicoidal flows of Maxwell fluid. In a scenario featuring nonlinear damping and source terms of arbitrary polynomial growth, we prove the existence of smooth finite dimensional global attractors as well as exponential attractors. We also prove that its long-time dynamics is completely determined by a finite set of linear continuous functionals.