𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Decay rates for viscoelastic plates with memory

✍ Scribed by J. E. Muñoz Rivera; E. C. Lapa; R. Barreto

Book ID
104619776
Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
828 KB
Volume
44
Category
Article
ISSN
0374-3535

No coin nor oath required. For personal study only.

✦ Synopsis

We consider the viscoelastic plate equation and we prove that the first and second order energies associated with its solution decay exponentially provided the kernel of the convolution also decays exponentially. When the kernel decays polynomially then the energy also decays polynomially. More precisely if the kernel g satisfies g(t) <~ -cog(t) ~+~/~ and g,g~+~/P ~ Ll(~) withp > 2, then the energy decays as 1/(1 + t) p.

📜 SIMILAR VOLUMES

General decay rate estimates for viscoel
General decay rate estimates for viscoelastic dissipative systems
✍ M.M. Cavalcanti; V.N. Domingos Cavalcanti; P. Martinez 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 299 KB

The linear viscoelastic equation is considered. We prove uniform decay rates of the energy by assuming a nonlinear feedback acting on the boundary, without imposing any restrictive growth assumption on the damping term and strongly weakening the usual assumptions on the relaxation function. Our esti