In this paper, we deduce the estimates on decay rates of higher order derivatives about time variable and space variables for the strong solution to the Cauchy problem of the Navier᎐Stokes equations. The rate obtained is optimal in the sense that it coincides with that of solution to the heat equati
Decay rates of the plate equations
✍ Scribed by K. Ammari; M. Khenissi
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 187 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We consider the Kirchhoff plate equation and the Bernoulli–Euler plate equation. The energy decay rate in both cases is investigated. Moreover, when we do not have exponential stability in the energy space, we give explicit logarithmic decay estimates valid for regular initial data. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
We investigate the ¸N}¸O estimate of solutions to the Cauchy problem of linear viscoelastic equation, especially, the di!usion wave property of linear viscoelastic equation like the Navier}Stokes equation in the compressible #uid case, which was studied by D. Ho! and K. Zumbrum and Tai-P.