Logarithmic stabilization of the Kirchhoff plate transmission system with locally distributed Kelvin-Voigt damping.

Autor:	Hong, Gimyong
Další autoři:	Hong, Hakho
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles transmission problem Kirchhoff plate Kelvin-Voigt damping Carleman estimate energy decay
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: We are concerned with a transmission problem for the Kirchhoff plate equation where one small part of the domain is made of a viscoelastic material with the Kelvin-Voigt constitutive relation. We obtain the logarithmic stabilization result (explicit energy decay rate), as well as the wellposedness, for the transmission system. The method is based on a new Carleman estimate to obtain information on the resolvent for high frequency. The main ingredient of the proof is some careful analysis for the Kirchhoff transmission plate equation.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Full text from SpringerLink