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The energy decay rate for the modified Von Kármán system of thermoelastic plates: An improvement

✍ Scribed by G.Perla Menzala; E. Zuazua

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
201 KB
Volume
16
Category
Article
ISSN
0893-9659

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✦ Synopsis

we prove that the energy of solutions of the modified von K&m&n system of a thermoelastic plate decays with the rate as t + +oo where C and w are positive constants which are independent of the solution. This improves an earlier result in which we claimed the decay rate to be of the order of exp(-wt/(l + E2(0)) and provides a simpler and complete proof.

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✍ Igor Bock 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 143 KB

We deal with the system of quasistationary von Kà armà an equations describing moderately large de ections of thin viscoelastic plates. We concentrate on a di erential-type material, which gives rise to a quasistationary system with a linear pseudoparabolic main part and a non-linear di erential ter