Title

Heat Equations With Memory

Keywords

Heat equation with memory; Memory kernel; Speed of propagation

Abstract

A modified Fourier's law in an anisotropic and non-homogeneous media results in a heat equation with memory, for which the memory kernel is matrix valued and spatially dependent. Different conditions on the memory kernel lead the equation to being either a parabolic type or a hyperbolic type. Well-posedness of such a heat equation is established under some general and reasonable conditions. © 2005 Elsevier Ltd. All rights reserved.

Publication Date

11-30-2005

Publication Title

Nonlinear Analysis, Theory, Methods and Applications

Volume

63

Issue

5-7

Number of Pages

-

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.na.2005.02.033

Socpus ID

28044441362 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/28044441362

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