Oscillating kernels and arbitrary decays in viscoelasticity

Nasser eddine Tatar

doi:10.1002/mana.201000053

Oscillating kernels and arbitrary decays in viscoelasticity

Nasser eddine Tatar^*

^*Corresponding author for this work

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

7 Scopus citations

Abstract

In this work we consider a viscoelastic problem with a kernel whose derivative may be positive on some subsets. Starting from a "generalized" necessary condition we show that it is in fact also sufficient to prove a decay of arbitrary type provided that the non-decreasingness rate or/and zone of the kernel is small enough.

Original language	English
Pages (from-to)	1130-1143
Number of pages	14
Journal	Mathematische Nachrichten
Volume	285
Issue number	8-9
DOIs	https://doi.org/10.1002/mana.201000053
State	Published - Jun 2012

Keywords

Exponential decay
Memory term
Relaxation function
Viscoelasticity

ASJC Scopus subject areas

General Mathematics

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10.1002/mana.201000053

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title = "Oscillating kernels and arbitrary decays in viscoelasticity",

abstract = "In this work we consider a viscoelastic problem with a kernel whose derivative may be positive on some subsets. Starting from a {"}generalized{"} necessary condition we show that it is in fact also sufficient to prove a decay of arbitrary type provided that the non-decreasingness rate or/and zone of the kernel is small enough.",

keywords = "Exponential decay, Memory term, Relaxation function, Viscoelasticity",

author = "Tatar, \{Nasser eddine\}",

year = "2012",

month = jun,

doi = "10.1002/mana.201000053",

language = "English",

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T1 - Oscillating kernels and arbitrary decays in viscoelasticity

AU - Tatar, Nasser eddine

PY - 2012/6

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N2 - In this work we consider a viscoelastic problem with a kernel whose derivative may be positive on some subsets. Starting from a "generalized" necessary condition we show that it is in fact also sufficient to prove a decay of arbitrary type provided that the non-decreasingness rate or/and zone of the kernel is small enough.

AB - In this work we consider a viscoelastic problem with a kernel whose derivative may be positive on some subsets. Starting from a "generalized" necessary condition we show that it is in fact also sufficient to prove a decay of arbitrary type provided that the non-decreasingness rate or/and zone of the kernel is small enough.

KW - Exponential decay

KW - Memory term

KW - Relaxation function

KW - Viscoelasticity

UR - https://www.scopus.com/pages/publications/84861674699

U2 - 10.1002/mana.201000053

DO - 10.1002/mana.201000053

M3 - Article

AN - SCOPUS:84861674699

SN - 0025-584X

VL - 285

SP - 1130

EP - 1143

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 8-9

ER -

Oscillating kernels and arbitrary decays in viscoelasticity

Abstract

Keywords

ASJC Scopus subject areas

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