๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Decay rate estimates for wave equations of memory type with acoustic boundary conditions

โœ Scribed by Jong Yeoul Park; Sun Hye Park

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
215 KB
Volume
74
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Uniform decay for a von Karman plate equ
Uniform decay for a von Karman plate equation with a boundary memory condition
โœ Jong Yeoul Park; Sun Hye Park ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 149 KB ๐Ÿ‘ 1 views

We consider a von Karman plate equation with a boundary memory condition. We prove the existence of solutions using the Galerkin method and then investigate the asymptotic behaviour of the corresponding solutions by choosing suitable Lyapunov functional.

Exponential decay of non-linear wave equ
Exponential decay of non-linear wave equation with a viscoelastic boundary condition
โœ Jaime E. Muรฑoz Rivera; Doherty Andrade ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 152 KB ๐Ÿ‘ 2 views

We study in this paper the global existence and exponential decay of solutions of the non-linear unidimensional wave equation with a viscoelastic boundary condition. We prove that the dissipation induced by the memory e!ect is strong enough to secure global estimates, which allow us to show existenc