Decay rates for viscoelastic plates with memory View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1996-07

AUTHORS

J. E. Muñoz Rivera, E. C. Lapa, R. Barreto

ABSTRACT

We consider the viscoelastic plate equation and we prove that the first and second order energies associated with its solution decay exponentially provided the kernel of the convolution also decays exponentially. When the kernel decays polynomially then the energy also decays polynomially. More precisely if the kernel g satisfies g(t) ⩽ -c0g(t)1+1/p and g,g1+1/p ∈ L1(ℝ) with p > 2, then the energy decays as 1/(1+t)p. More... »

PAGES

61-87

References to SciGraph publications

  • 1970-01. Asymptotic stability in viscoelasticity in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • Journal

    TITLE

    Journal of Elasticity

    ISSUE

    1

    VOLUME

    44

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00042192

    DOI

    http://dx.doi.org/10.1007/bf00042192

    DIMENSIONS

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