An evolution operator L(n) with n arbitrary, typical of several models, is analyzed. When n=1 the operator characterizes the Standard Linear Solid of viscoelasticity, whose properties are already extablished in previous papers. The fundamental solution l E(n) of L(n) is explictly obtained and it's estimated in terms of the fundamental solution E(1) of L(1). So, whatever n may be, asymptotic properties and maximum theorems are achieved. These results are applied to the Rouse model and reptation model, which describe different aspects of polymer chains.

Wave hierarchies in viscoelasticity

MASSAROTTI, PAOLO;DE ANGELIS, MONICA;RENNO, PASQUALE
2004

Abstract

An evolution operator L(n) with n arbitrary, typical of several models, is analyzed. When n=1 the operator characterizes the Standard Linear Solid of viscoelasticity, whose properties are already extablished in previous papers. The fundamental solution l E(n) of L(n) is explictly obtained and it's estimated in terms of the fundamental solution E(1) of L(1). So, whatever n may be, asymptotic properties and maximum theorems are achieved. These results are applied to the Rouse model and reptation model, which describe different aspects of polymer chains.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/204328
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