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

We prove that the energy of solutions of the modified von Kármán system of a thermoelastic plate decays with the rate E(t)≤CE(0) exp −ωt 1+E(0) , as t → + ∞ where C and ω are positive constants which are independent of the solution. This improves an earlier result in which we claimed the decay rate...

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Bibliographic Details
Published in:Applied mathematics letters 2003-05, Vol.16 (4), p.531-534
Main Authors: Menzala, G.Perla, Zuazua, E.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Exponential rate of decay
Mathematical analysis
Mathematics
Modified von Kármán system
Partial differential equations
Sciences and techniques of general use
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Summary:We prove that the energy of solutions of the modified von Kármán system of a thermoelastic plate decays with the rate E(t)≤CE(0) exp −ωt 1+E(0) , as t → + ∞ where C and ω 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 (1 + E 2(0) ) and provides a simpler and complete proof.
ISSN:0893-9659
1873-5452
DOI:10.1016/S0893-9659(03)00032-6