7–11 Apr 2025
Lecture and Conference Centre
Europe/Warsaw timezone

On the passage from nonlinear to linearized viscoelastodynamics

11 Apr 2025, 08:30
20m
Room 3

Room 3

Speaker

Malte Kampschulte

Description

In the spirit of preceeding results for the quasistatic case, we study the limiting process from nonlinear to linearized viscoelastodynamics for a general frame-indifferent model of Kelvin-Voigt rheology. We prove existence of weak solutions to both cases using a recently developed variational time-delayed approach. We then prove that solutions to the nonlinear model indeed converge to the unique solution of the linearized model and highlight how the different limits of linearization and the approximation process interact.

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