𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global attractor for the Kirchhoff type equations with strong nonlinear damping and supercritical nonlinearity

✍ Scribed by Yang, Zhijian; Ding, Pengyan; Liu, Zhiming


Book ID
121692071
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
405 KB
Volume
33
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Attractors for Kirchhoff’s equation with
✍ Stanislav Kolbasin πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 603 KB

We consider Kirchhoff's equation with a nonlinear damping coefficient depending on the displacement. The equation is proven to generate a dissipative semigroup possessing both compact global and exponential attractors.

Dimension of the Global Attractor for St
✍ Shengfan Zhou πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 109 KB

The existence and estimate of the upper bound of the Hausdorff dimension of the global attractor for the strongly damped nonlinear wave equation with the Dirichlet boundary condition are considered by introducing a new norm in the phase space. The gained Hausdorff dimension decreases as the damping