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<p>In this article, we consider the long-time behavior of solutions for the Kirchhoff-type suspension bridge equations with nonlinear damping and memory. First, the well-posedness of weak solutions is established, and then the existence of a global attractor to this equation in a phase space <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13660_2025_3355_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mi mathvariant="script">H</mi> </math></EquationSource> <EquationSource Format="TEX">$\mathcal{H}$</EquationSource> </InlineEquation> is obtained.</p>

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Long-time behavior of the Kirchhoff-type suspension bridge equations with nonlinear damping and memory

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  • 发表日期：

    2025年8月25日

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  • Jundong Jin

摘要

In this article, we consider the long-time behavior of solutions for the Kirchhoff-type suspension bridge equations with nonlinear damping and memory. First, the well-posedness of weak solutions is established, and then the existence of a global attractor to this equation in a phase space H $\mathcal{H}$ is obtained.