This paper analyzes heat equation with memory in the case of kernels that are linear combinations of Gamma distributions. In this case, it is possible to rewrite the non-local equation as a local system of partial differential equations of hyperbolic type. Stability is studied in details by analyzing the corresponding dispersion relation, providing sufficient stability condition for the general case and sharp instability thresholds in the case of linear combination of the first three Gamma functions.

Stability analysis for linear heat conduction with memory kernels described by Gamma functions / Mascia, Corrado. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 35:8(2015), pp. 3569-3584. [10.3934/dcds.2015.35.3569]

Stability analysis for linear heat conduction with memory kernels described by Gamma functions

MASCIA, Corrado
2015

Abstract

This paper analyzes heat equation with memory in the case of kernels that are linear combinations of Gamma distributions. In this case, it is possible to rewrite the non-local equation as a local system of partial differential equations of hyperbolic type. Stability is studied in details by analyzing the corresponding dispersion relation, providing sufficient stability condition for the general case and sharp instability thresholds in the case of linear combination of the first three Gamma functions.
2015
Diffusion equation; heat conduction; memory kernels; stability
01 Pubblicazione su rivista::01a Articolo in rivista
Stability analysis for linear heat conduction with memory kernels described by Gamma functions / Mascia, Corrado. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 35:8(2015), pp. 3569-3584. [10.3934/dcds.2015.35.3569]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/650418
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