On the diffusive stress relaxation for multidimensional viscoelasticity

Donatella Donatelli; Corrado Lattanzio

doi:10.3934/cpaa.2009.8.645

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2009, Volume 8, Issue 2: 645-654. Doi: 10.3934/cpaa.2009.8.645

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On the diffusive stress relaxation for multidimensional viscoelasticity

Donatella Donatelli^1, and
Corrado Lattanzio^2,

1.
Dipartimento di Matematica Pura ed Applicata, Università degli Studi dell'Aquila, Via Vetoio, 67010 Coppito (AQ)
2.
Sezione di Matematica per l'Ingegneria, Dipartimento di Matematica Pura ed Applicata, Università degli Studi dell'Aquila, Piazzale E. Pontieri, 2, Monteluco di Roio, 67040 L'Aquila

Received: January 2008

Revised: October 2008

Published: March 2009

Abstract / Introduction Related Papers Cited by

Abstract

This paper deals with the rigorous study of the diffusive stress relaxation in the multidimensional system arising in the mathematical modeling of viscoelastic materials. The control of an appropriate high order energy shall lead to the proof of that limit in Sobolev space. It is shown also as the same result can be obtained in terms of relative modulate energies.

Keywords:

Diffusive relaxation limits,
viscoelasticity.

Mathematics Subject Classification: 35L65, 35B25.

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