We provide some spatial estimates for the nonlinear partial differential equation governing anti-plane motions in a nonlinear viscoelastic theory of Kelvin-Voigt type when the viscosity is a function of the strain rate. The spatial estimates we prove are an alternative of Phragmen-Lindelöf type. These estimates are possible when a precise balance between the elastic and viscoelastic nonlinearities holds.
Spatial estimates for Kelvin-Voigt finite elasticity with nonlinear viscosity: Well behaved solutions in space
Saccomandi G.
Membro del Collaboration Group
2020
Abstract
We provide some spatial estimates for the nonlinear partial differential equation governing anti-plane motions in a nonlinear viscoelastic theory of Kelvin-Voigt type when the viscosity is a function of the strain rate. The spatial estimates we prove are an alternative of Phragmen-Lindelöf type. These estimates are possible when a precise balance between the elastic and viscoelastic nonlinearities holds.File in questo prodotto:
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