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Heat equations with memory

✍ Scribed by J. Yong; X. Zhang

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
138 KB
Volume
63
Category
Article
ISSN
0362-546X

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✦ Synopsis

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.

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