Calculus of Variations and Geometric Measure Theory

G. Dal Maso - F. Sapio

Quasistatic limit of a dynamic viscoelastic model with memory

created by dalmaso on 07 Jun 2021
modified by sapio on 01 Dec 2021


Published Paper

Inserted: 7 jun 2021
Last Updated: 1 dec 2021

Journal: Milan Journal of Mathematics
Year: 2021
Doi: 10.1007/s00032-021-00343-w

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.