Global existence for elastic waves with memory

Vladimir Georgiev; Bruno Rubino; Rosella Sampalmieri

doi:10.1007/s00205-004-0345-2

Global existence for elastic waves with memory

Vladimir Georgiev^*, Bruno Rubino, Rosella Sampalmieri

^*Corresponding author for this work

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

12 Citations (Scopus)

Abstract

We treat the Cauchy problem for nonlinear systems of viscoelasticity with a memory term. We study the existence and the time decay of the solution to this nonlinear problem. The kernel of the memory term includes integrable singularity at zero and polynomial decay at infinity. We prove the existence of a global solution for space dimensions n ≧ 3 and arbitrary quadratic nonlinearities.

Original language	English
Pages (from-to)	303-330
Number of pages	28
Journal	Archive for Rational Mechanics and Analysis
Volume	176
Issue number	3
DOIs	https://doi.org/10.1007/s00205-004-0345-2
Publication status	Published - 2005 Jun 1
Externally published	Yes

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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10.1007/s00205-004-0345-2

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title = "Global existence for elastic waves with memory",

abstract = "We treat the Cauchy problem for nonlinear systems of viscoelasticity with a memory term. We study the existence and the time decay of the solution to this nonlinear problem. The kernel of the memory term includes integrable singularity at zero and polynomial decay at infinity. We prove the existence of a global solution for space dimensions n ≧ 3 and arbitrary quadratic nonlinearities.",

author = "Vladimir Georgiev and Bruno Rubino and Rosella Sampalmieri",

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T1 - Global existence for elastic waves with memory

AU - Georgiev, Vladimir

AU - Rubino, Bruno

AU - Sampalmieri, Rosella

PY - 2005/6/1

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N2 - We treat the Cauchy problem for nonlinear systems of viscoelasticity with a memory term. We study the existence and the time decay of the solution to this nonlinear problem. The kernel of the memory term includes integrable singularity at zero and polynomial decay at infinity. We prove the existence of a global solution for space dimensions n ≧ 3 and arbitrary quadratic nonlinearities.

AB - We treat the Cauchy problem for nonlinear systems of viscoelasticity with a memory term. We study the existence and the time decay of the solution to this nonlinear problem. The kernel of the memory term includes integrable singularity at zero and polynomial decay at infinity. We prove the existence of a global solution for space dimensions n ≧ 3 and arbitrary quadratic nonlinearities.

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U2 - 10.1007/s00205-004-0345-2

DO - 10.1007/s00205-004-0345-2

M3 - Article

AN - SCOPUS:18844450473

SN - 0003-9527

VL - 176

SP - 303

EP - 330

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 3

ER -

Global existence for elastic waves with memory

Abstract

ASJC Scopus subject areas

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