# American Institute of Mathematical Sciences

March  2009, 8(2): 645-654. doi: 10.3934/cpaa.2009.8.645

## On the diffusive stress relaxation for multidimensional viscoelasticity

 1 Dipartimento di Matematica Pura ed Applicata, Università degli Studi dell'Aquila, Via Vetoio, 67010 Coppito (AQ), Italy 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, Italy

Received  January 2008 Revised  October 2008 Published  December 2008

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.
Citation: Donatella Donatelli, Corrado Lattanzio. On the diffusive stress relaxation for multidimensional viscoelasticity. Communications on Pure & Applied Analysis, 2009, 8 (2) : 645-654. doi: 10.3934/cpaa.2009.8.645
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