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Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory

✍ Scribed by Jaime E. Muñoz Rivera; Maria Grazia Naso; Federico M. Vegni

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
206 KB
Volume
286
Category
Article
ISSN
0022-247X

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✦ Synopsis

A class of second-order abstract systems with memory and Dirichlet boundary conditions is investigated. By suitable Liapunov functionals, existence of solutions as well as asymptotic behavior, are determined. In particular, when the memory kernel decays exponentially, the polynomially decay of the solutions is proved.

📜 SIMILAR VOLUMES

Asymptotic behaviour of the energy for e
Asymptotic behaviour of the energy for electromagnetic systems with memory
✍ Jaime E. Muñoz Rivera; Maria Grazia Naso; Elena Vuk 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 172 KB

## Abstract Some linear evolution problems arising in the theory of hereditary electromagnetism are considered here. Making use of suitable Liapunov functionals, existence of solutions as well as asymptotic behaviour, are determined for rigid conductors with electric memory. In particular, we show