𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exponential attractors for the strongly damped wave equations

✍ Scribed by Meihua Yang; Chunyou Sun


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
553 KB
Volume
11
Category
Article
ISSN
1468-1218

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Attractors for strongly damped wave equa
✍ Shengfan Zhou πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 497 KB

we prove the existence of the global attractor for the semigroup generated by strongly damped wave equations when the nonlinearity has a critical growth exponent.

One-dimensional global attractor for str
✍ Hongyan Li; Shengfan Zhou πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 181 KB

We consider the dynamical behavior of the strongly damped wave equations under homogeneous Neumann boundary condition. By the property of limit set of asymptotic autonomous differential equations, we prove that in certain parameter region, the system has a one-dimensional global attractor, which is

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

Global and exponential attractors for 3-
✍ Vittorino Pata; Sergey Zelik πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 155 KB

## Abstract A weakly damped wave equation in the three‐dimensional (3‐D) space with a damping coefficient depending on the displacement is studied. This equation is shown to generate a dissipative semigroup in the energy phase space, which possesses finite‐dimensional global and exponential attract