The existence and uniqueness of solution to an integro-differential problem arising in Heat Conduction with Memory is here considered. Specifically, a singular kernel problem is analyzed in the case of a multi-dimensional rigid heat conductor. The choice to investigate a singular kernel material is suggested by applications to model a wider variety of materials and, in particular, new materials whose heat flux relaxation function may be superiorly unbounded at the initial time t = 0. The present study represents a generalization to higher dimen- sions of a recently obtained result in the framework of linear viscoelas- ticity with memory.
The existence and uniqueness of solution to an integro-differential problem arising in Heat Conduction with Memory is here considered. Specifically, a singular kernel problem is analyzed in the case of a multi-dimensional rigid heat conductor. The choice to investigate a singular kernel material is suggested by applications to model a wider variety of materials and, in particular, new materials whose heat flux relaxation function may be superiorly unbounded at the initial time t = 0. The present study represents a generalization to higher dimen- sions of a recently obtained result in the framework of linear viscoelas- ticity with memory.
Heat Conduction with Memory: a singular kernel problem / Carillo, Sandra; Valente, Vanda; VERGARA CAFFARELLI, Giorgio. - In: EVOLUTION EQUATIONS AND CONTROL THEORY. - ISSN 2163-2480. - STAMPA. - 3 n.ro 3:(2014), pp. 399-410. [10.3934/eect.2014.399]
Heat Conduction with Memory: a singular kernel problem
CARILLO, Sandra;VALENTE, VANDA;VERGARA CAFFARELLI, Giorgio
2014
Abstract
The existence and uniqueness of solution to an integro-differential problem arising in Heat Conduction with Memory is here considered. Specifically, a singular kernel problem is analyzed in the case of a multi-dimensional rigid heat conductor. The choice to investigate a singular kernel material is suggested by applications to model a wider variety of materials and, in particular, new materials whose heat flux relaxation function may be superiorly unbounded at the initial time t = 0. The present study represents a generalization to higher dimen- sions of a recently obtained result in the framework of linear viscoelas- ticity with memory.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
