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<p>This article presents a new scheme for studying the dynamics of a quintic wave equation with nonlocal weak damping in a 3D smooth bounded domain. As an application, the existence and structure of weak, strong, and exponential attractors for the solution semigroup of this equation are obtained. The investigation sheds light on the well-posedness and long-term behavior of nonlinear dissipative evolution equations with nonlinear damping and critical nonlinearity.</p>

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Dynamics of the quintic wave equation with nonlocal weak damping

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月15日

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  • Feng Zhou,
  • Hongfang Li,
  • Kaixuan Zhu

摘要

This article presents a new scheme for studying the dynamics of a quintic wave equation with nonlocal weak damping in a 3D smooth bounded domain. As an application, the existence and structure of weak, strong, and exponential attractors for the solution semigroup of this equation are obtained. The investigation sheds light on the well-posedness and long-term behavior of nonlinear dissipative evolution equations with nonlinear damping and critical nonlinearity.