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Springer (part of Springer Nature), Archive for Rational Mechanics and Analysis, 3(176), p. 303-330

DOI: 10.1007/s00205-004-0345-2

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Global Existence for Elastic Waves with Memory

Journal article published in 2005 by Vladimir Georgiev ORCID, Bruno Rubino, Rosella Sampalmieri
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We treat the Cauchy problem for nonlinear systems of viscoelasticity with a memory term. We study the existence and the time decay of the solution to this nonlinear problem. The kernel of the memory term includes integrable singularity at zero and polynomial decay at infinity. We prove the existence of a global solution for space dimensions n3 and arbitrary quadratic nonlinearities.