Global classical solutions to the elastodynamic equations with damping

Abstract In this paper, we show the global existence of classical solutions to the incompressible elastodynamics equations with a damping mechanism on the stress tensor in dimension three for sufficiently small initial data on periodic boxes, that is, with periodic boundary conditions. The approach...

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Bibliographic Details
Main Authors: Mengmeng Liu, Xueyun Lin
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-021-02608-9