The pullback attractors for the Higher-order Kirchhoff-type equation with strong linear damping

The paper investigates pullback the attractors for the Higher-order Kirchhoff-type equation with strong linear damping:.Firstly, we do priori estimation for the equations to obtain the existence and uniqueness of the solution inby some assumptions the Galerkin method. Then, we prove existence of the pullback attractorsin

The Global Attractors For The Higher-order Kirchhoff-type Equation With Nonlinear Strongly Damped Term

The paper studies the longtime behavior of solutions to the initial boundary value problem for a class of Higher-order Kirchhoff models: For strong nonlinear damping and , we make assumptions (H1)-(H3). are nonlinear function specified later , we make assumptions (G1)-(G3). Under of the proper assume, the main results are existence and uniqueness of the solution are proved , and deal with the global attractors in natural energy space

Exponential attractor for the Higher-order Kirchhoff-type equation with nonlinear strongly damped term

We investigate the existence of exponential attractor for the Higher-order Kirchhoff-type equation with nonlinear strongly damped term: .For strong nonlinear damping σ(s) and φ(s) ,we assumptions .Under of the proper assume H1-H3, we first prove the squeezing property of the nonlinear semigroup associated with this equation, then the existence of exponential attractor is proved

Exponential attractors and inertial manifolds for the higher-order nonlinear Kirchhoff-type equation

Volume 4 Issue 11 (November 2016