Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping
The authors study the degenerate fractional Kirchhoff wave equation with structural or strong damping. They prove the well-posedness and the existence of global attractors in the natural energy space by means of the Faedo-Galerkin method and provide energy estimates. The authors' results cover the possible degeneration (or even negativity) of the stiffness coefficient. Moreover, under suitable assumptions, the fractal dimension of the global attractor is shown to be infinite by using \(\mathbb{Z}_2\) index theory.
scientific article; zbMATH DE number 7493797
scientific article