On the passage from nonlinear to linearized viscoelastodynamics
Analysis of PDEs
2026-03-04 v1
Abstract
The equations of linearized viscoelastodynamics in Kelvin-Voigt rheology are rigorously derived from a nonlinear model that satisfies the time-dependent frame indifference in the sense of Antman. Besides showing the convergence of corresponding solutions of both systems, we also prove the convergence of time-discrete solutions on various scales and of continuous solutions of nonlinear problems to linearized ones.
Cite
@article{arxiv.2603.02988,
title = {On the passage from nonlinear to linearized viscoelastodynamics},
author = {Barbora Benešová and Malte Kampschulte and Martin Kružík},
journal= {arXiv preprint arXiv:2603.02988},
year = {2026}
}