Asymptotic behavior for linear and nonlinear elastic waves in materials with memory

R. Kirova, Vladimir Simeonov Gueorguiev, B. Rubino, R. Sampalmieri, B. Yordanov

研究成果: Article

6 引用 (Scopus)

抄録

In this review, we study the Cauchy problem associated to the equation of linear and nonlinear viscoelasticity with memory. Our first point is the study of dispersive properties of the solution to the linear equation of viscoelasticity with memory. The decay estimates obtained in this first part are important to treat the corresponding nonlinear Cauchy problem. The key novelty is the fact that we admit algebraic singularities and decay at infinity for the time dependent functions in the memory kernel. This fact enables one to include models different from the classical viscoelasticity problem, where this kernel is smooth and exponentially decaying in time.

元の言語English
ページ(範囲)4126-4137
ページ数12
ジャーナルJournal of Non-Crystalline Solids
354
発行部数35-39
DOI
出版物ステータスPublished - 2008 10 1
外部発表Yes

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viscoelasticity
Elastic waves
Viscoelasticity
elastic waves
Cauchy problem
Data storage equipment
decay
linear equations
Linear equations
infinity
estimates
Materials with memory

ASJC Scopus subject areas

  • Ceramics and Composites
  • Electronic, Optical and Magnetic Materials

これを引用

Asymptotic behavior for linear and nonlinear elastic waves in materials with memory. / Kirova, R.; Gueorguiev, Vladimir Simeonov; Rubino, B.; Sampalmieri, R.; Yordanov, B.

:: Journal of Non-Crystalline Solids, 巻 354, 番号 35-39, 01.10.2008, p. 4126-4137.

研究成果: Article

Kirova, R. ; Gueorguiev, Vladimir Simeonov ; Rubino, B. ; Sampalmieri, R. ; Yordanov, B. / Asymptotic behavior for linear and nonlinear elastic waves in materials with memory. :: Journal of Non-Crystalline Solids. 2008 ; 巻 354, 番号 35-39. pp. 4126-4137.
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