Spatial estimates for Kelvin-Voigt finite elasticity with nonlinear viscosity: well behaved solutions in space.
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hdl:2117/328378
Document typeArticle
Defense date2020-08-18
Rights accessRestricted access - publisher's policy
(embargoed until 2021-08-18)
Abstract
We provide some spatial estimates for the nonlinear partial di erential 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-Lindel of type. These estimates are possible when a precise balance between the elastic and viscoelastic nonlinearities holds
CitationQuintanilla, R.; Saccomandi, G. Spatial estimates for Kelvin-Voigt finite elasticity with nonlinear viscosity: well behaved solutions in space. "Analysis and applications", 18 Agost 2020, p. 1-19.
ISSN0219-5305
Publisher versionhttps://www.worldscientific.com/doi/abs/10.1142/S0219530520500153
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