Mathematische Nachrichten

Optimal decay for plates with rotational inertia and memory

Early View

Abstract We study the asymptotic behavior of a linear plate equation with effects of rotational inertia and a fractional damping in the memory term: where and the kernel g is exponentially decreasing. The main result of this work is the polynomial decay of their solutions when . We prove that the solutions decay with the rate and also that the decay rate is optimal. Furthermore, when , we obtain the exponential decay of the solutions.

Related Topics

Related Publications

Related Content

Site Footer

Address:

This website is provided by John Wiley & Sons Limited, The Atrium, Southern Gate, Chichester, West Sussex PO19 8SQ (Company No: 00641132, VAT No: 376766987)

Published features on StatisticsViews.com are checked for statistical accuracy by a panel from the European Network for Business and Industrial Statistics (ENBIS)   to whom Wiley and StatisticsViews.com express their gratitude. This panel are: Ron Kenett, David Steinberg, Shirley Coleman, Irena Ograjenšek, Fabrizio Ruggeri, Rainer Göb, Philippe Castagliola, Xavier Tort-Martorell, Bart De Ketelaere, Antonio Pievatolo, Martina Vandebroek, Lance Mitchell, Gilbert Saporta, Helmut Waldl and Stelios Psarakis.