Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density

Nasser Eddine Tatar

doi:10.1155/IJMMS.2005.1497

Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density

Nasser Eddine Tatar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider a nonlinear viscoelastic problem and prove that the solutions are uniformly bounded and decay exponentially to zero as time goes to infinity. This is established under weaker conditions on the relaxation function than the usually used ones. In particular, we remove the assumptions on the derivative of the kernel. In fact, our kernels are not necessarily differentiable.

Original language	English
Pages (from-to)	1497-1506
Number of pages	10
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2005
Issue number	10
DOIs	https://doi.org/10.1155/IJMMS.2005.1497
State	Published - 20 Jul 2005

ASJC Scopus subject areas

Mathematics (miscellaneous)

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title = "Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density",

abstract = "We consider a nonlinear viscoelastic problem and prove that the solutions are uniformly bounded and decay exponentially to zero as time goes to infinity. This is established under weaker conditions on the relaxation function than the usually used ones. In particular, we remove the assumptions on the derivative of the kernel. In fact, our kernels are not necessarily differentiable.",

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AB - We consider a nonlinear viscoelastic problem and prove that the solutions are uniformly bounded and decay exponentially to zero as time goes to infinity. This is established under weaker conditions on the relaxation function than the usually used ones. In particular, we remove the assumptions on the derivative of the kernel. In fact, our kernels are not necessarily differentiable.

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DO - 10.1155/IJMMS.2005.1497

M3 - Article

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JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 10

ER -

Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density

Abstract

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