An equivalence between an integro-differential operator M and an evolution operator l Ln is determined. Owing to this equivalence, the fundamental solution of Ln is estimated in terms of the fundamental solution related to the third order operator L1 whose behaviour is now acquired. Moreover, properties typical of wave hierarchies can be applied to polymeric materials. As an example the case n=2 is considered and results are applied to the Rouse model and the reptation model which describe different aspects of polymer chains.
On hereditary models of polymers / DE ANGELIS, Monica. - STAMPA. - (2005), pp. 33-38. (Intervento presentato al convegno STAMM 2002-12th Symposium on Trends of Applications of Mathematics to Mechanics tenutosi a Maiori (Salerno) -Italy nel 29/09/2002-04/10/2002).
On hereditary models of polymers
DE ANGELIS, MONICA
2005
Abstract
An equivalence between an integro-differential operator M and an evolution operator l Ln is determined. Owing to this equivalence, the fundamental solution of Ln is estimated in terms of the fundamental solution related to the third order operator L1 whose behaviour is now acquired. Moreover, properties typical of wave hierarchies can be applied to polymeric materials. As an example the case n=2 is considered and results are applied to the Rouse model and the reptation model which describe different aspects of polymer chains.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
