Journal
MILAN JOURNAL OF MATHEMATICS
Volume 89, Issue 2, Pages 485-522Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00032-021-00343-w
Keywords
Evolution problems with memory; Linear second order Hyperbolic systems; Dynamic mechanics; Elastodynamics; Viscoelasticity
Categories
Funding
- National Research Project (PRIN 2017) Variational Methods for Stationary and Evolution Problems with Singularities and Interfaces - Italian Ministry of University and Research
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The study focuses on the behavior of solutions to a viscoelastic model with long memory as the rate of change of data approaches zero, and it is proven that a rescaled version of the solutions converges to the solution of the corresponding stationary problem.
We study the behaviour of the solutions to a dynamic evolution problem for a viscoelastic model with long memory, when the rate of change of the data tends to zero. We prove that a suitably rescaled version of the solutions converges to the solution of the corresponding stationary problem.
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