On a strongly damped wave equation for the flame front
โ 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.
๐ SIMILAR VOLUMES
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
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