We study in this paper the global existence and exponential decay of solutions of the non-linear unidimensional wave equation with a viscoelastic boundary condition. We prove that the dissipation induced by the memory e!ect is strong enough to secure global estimates, which allow us to show existenc
On the rate of decay of solutions to linear viscoelastic equation
β Scribed by Yoshihiro Shibata
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 195 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0170-4214
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β¦ Synopsis
We investigate the ΒΈN}ΒΈO 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.
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