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.
Quasistatic Limit of a Dynamic Viscoelastic Model with Memory / Dal Maso, Gianni; Sapio, Francesco. - In: MILAN JOURNAL OF MATHEMATICS. - ISSN 1424-9286. - 89:(2021), pp. 485-522. [10.1007/s00032-021-00343-w]
Quasistatic Limit of a Dynamic Viscoelastic Model with Memory
Dal Maso, Gianni;Sapio, Francesco
2021-01-01
Abstract
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.File in questo prodotto:
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Descrizione: Quasistatic Limit of a Dynamic Viscoelastic Model with Memory
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