๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On a strongly damped wave equation for the flame front

โœ Scribed by Claude-Michel Brauner; Luca Lorenzi; Gregory I. Sivashinsky; Chuanju Xu


Publisher
Coastal and Estuarine Research Federation
Year
2010
Tongue
English
Weight
478 KB
Volume
31
Category
Article
ISSN
1860-6261

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the Strongly Damped Wave Equation
โœ Vittorino Pata; Marco Squassina ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Springer ๐ŸŒ English โš– 228 KB
One-dimensional global attractor for str
โœ Hongyan Li; Shengfan Zhou ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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
โœ Shengfan Zhou ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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