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<p>This paper studies the dynamics of concentrated suspensions under shear flow using a non-autonomous mode-coupling model. The model describes the evolution of the stress distribution in a material composed of mesoscopic blocks, incorporating stress relaxation and diffusion effects. We construct an approximating lattice dynamical system for the model under consideration and prove the existence of a compact uniform attractor for the family of semi-processes generated by solutions of the system.</p>

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Asymptotic Behavior of Solutions for a Lattice System Generated by Non-Autonomous Complex Flows Modeling Concentrated Suspensions

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  • 发表日期：

    2026年3月14日

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  • Nataliia V. Gorban,
  • Björn S. Rüffer

摘要

This paper studies the dynamics of concentrated suspensions under shear flow using a non-autonomous mode-coupling model. The model describes the evolution of the stress distribution in a material composed of mesoscopic blocks, incorporating stress relaxation and diffusion effects. We construct an approximating lattice dynamical system for the model under consideration and prove the existence of a compact uniform attractor for the family of semi-processes generated by solutions of the system.