Analysis demonstrates the existence of a global attractor in Kirchhoff-type suspension bridge equations, implying unique long-term solutions.
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 is obtained.
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Jun-dong Jin (2025) studied this question.
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