A dynamic model for viscoelasticity in domains with time-dependent cracks

Author:

Sapio FrancescoORCID

Abstract

AbstractIn this paper, we prove the existence of solutions for a class of viscoelastic dynamic systems on time-dependent cracking domains.

Funder

Scuola Internazionale Superiore di Studi Avanzati - SISSA

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference17 articles.

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3. Caponi, M.: Linear hyperbolic systems in domains with growing cracks. Milan J. Math. 85, 149–185 (2017)

4. Caponi, M., Sapio, F.: A dynamic model for viscoelastic materials with prescribed growing cracks. Annali di Matematica Pura ed Applicata 199, 1263–1292 (2020)

5. Dafermos, C.: An abstract Volterra equation with applications to linear viscoelasticity. J. Differ. Equ. 7, 554–569 (1970)

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