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arXiv · 2603.02988

On the passage from nonlinear to linearized viscoelastodynamics

Barbora Benešová·Malte Kampschulte·Martin Kružík
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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.

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Barbora Benešová, Malte Kampschulte, Martin Kružík. 2026-03-03. On the passage from nonlinear to linearized viscoelastodynamics. https://arxiv.org/abs/2603.02988

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