Partition of energy in strongly damped generalized wave equations
β Scribed by Piotr Biler
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 430 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Dissipative perturbations of hyperbolic equations such as u~tt~ + Bu~t~ + A^2^u = 0 with positive operators A, B are considered. The rates of decay and partition of energy theorems are established for solutions of these equations.
π SIMILAR VOLUMES
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
## Abstract The paper studies the existence, asymptotic behaviour and stability of global solutions to the initial boundary value problem for a class of strongly damped nonβlinear wave equations. By a H00.5ptkβGalerkin approximation scheme, it proves that the aboveβmentioned problem admits a unique
## Abstract In this paper we are concerned with a nonlinear viscoelastic equation with nonlinear damping. The general uniform decay of the energy is obtained. Copyright Β© 2008 John Wiley & Sons, Ltd.
Here we are concerned about the stability of the solution of internally damped wave equation y Y s β¬ y q β¬ y X with small damping constant ) 0, in a bounded domain β in R n under mixed undamped boundary conditions. A uniform expo-Ε½ . yβ€ t Ε½ . nential energy decay rate E t F Me E 0 where M G 1 and β€