Global existence for elastic waves with memory

Vladimir Simeonov Gueorguiev, Bruno Rubino, Rosella Sampalmieri

研究成果: Article

10 引用 (Scopus)

抄録

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.

元の言語English
ページ(範囲)303-330
ページ数28
ジャーナルArchive for Rational Mechanics and Analysis
176
発行部数3
DOI
出版物ステータスPublished - 2005 6
外部発表Yes

Fingerprint

Memory Term
Elastic Waves
Elastic waves
Global Existence
Polynomial Decay
Data storage equipment
Viscoelasticity
Global Solution
Nonlinear Problem
Nonlinear systems
Cauchy Problem
Nonlinear Systems
Infinity
Polynomials
Nonlinearity
Singularity
Decay
kernel
Zero
Arbitrary

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

これを引用

Global existence for elastic waves with memory. / Gueorguiev, Vladimir Simeonov; Rubino, Bruno; Sampalmieri, Rosella.

:: Archive for Rational Mechanics and Analysis, 巻 176, 番号 3, 06.2005, p. 303-330.

研究成果: Article

Gueorguiev, Vladimir Simeonov ; Rubino, Bruno ; Sampalmieri, Rosella. / Global existence for elastic waves with memory. :: Archive for Rational Mechanics and Analysis. 2005 ; 巻 176, 番号 3. pp. 303-330.
@article{6f9e0bbd981d47899f2587669751903f,
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 = "Gueorguiev, {Vladimir Simeonov} and Bruno Rubino and Rosella Sampalmieri",
year = "2005",
month = "6",
doi = "10.1007/s00205-004-0345-2",
language = "English",
volume = "176",
pages = "303--330",
journal = "Archive for Rational Mechanics and Analysis",
issn = "0003-9527",
publisher = "Springer New York",
number = "3",

}

TY - JOUR

T1 - Global existence for elastic waves with memory

AU - Gueorguiev, Vladimir Simeonov

AU - Rubino, Bruno

AU - Sampalmieri, Rosella

PY - 2005/6

Y1 - 2005/6

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.

UR - http://www.scopus.com/inward/record.url?scp=18844450473&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=18844450473&partnerID=8YFLogxK

U2 - 10.1007/s00205-004-0345-2

DO - 10.1007/s00205-004-0345-2

M3 - Article

AN - SCOPUS:18844450473

VL - 176

SP - 303

EP - 330

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

SN - 0003-9527

IS - 3

ER -