| This paper studies the global attractor family and the random attractor family of a class of high-order nonlocal Kirchhoff equations.Reasonably assume source terms and Kirchhoff stress terms.By using the standard Galerkin finite element method,the existence and uniqueness of the solution are proved.By constructing a bounded absorption set,it is proved that the solution semigroup is uniformly bounded and completely continuous,and the compact global attractor family of the equation is obtained.By linearizing the equation,we get that the solution semigroup has Frechet differentiable,and estimate the d_H(Hausdorff dimension)andd_F(fractal dimension)of the global attractor family.In addition,based on the original equations,we study the random attractor family with zero external force term.Construct a continuous stochastic dynamic system with a fully continuous and slowly increasing bounded random attraction set,proving the existence of a compact random attractor family. |
