On the Nonlinear Theory of Viscoelasticity of Differential Type
Edvige Pucci, Giuseppe Saccomandi
TL;DR
This paper investigates nonlinear viscoelastic materials of differential type, deriving exact solutions for specific models to understand why global solutions may not exist.
Contribution
It provides exact solutions for certain models of nonlinear viscoelasticity and analyzes the causes of non-existence of global solutions.
Findings
Exact solutions for special models
Insights into non-existence of global solutions
Analysis of initial boundary value problems
Abstract
We consider nonlinear viscoelastic materials of differential type and for some special models we derive exact solutions of initial boundary value problems. These exact solutions are used to investigate the reasons of non-existence of global solutions for such equations.
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