Kirchhoff型波方程的时间依赖全局吸引子

The time-dependent global attractors for Kirchhoff-type wave equation

  • 摘要: 对于带有强阻尼和非线性扰动的Kirchhoff波方程,研究它在时间依赖空间中解的长时间行为. 运用收缩函数的方法验证过程的渐近紧性,得到时间依赖全局吸引子的存在性.

     

    Abstract: We are concerned with the long-time behavior of solutions in the time-dependent functional space for the Kirchhoff wave equation with strong damping and nonlinear perturbations. The existence of time-dependent global attractor is achieved by using the contraction function method to verify the asymptotic compactness of the process.

     

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