| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9718205 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 10 Pages |
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.
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Authors
J. Yong, X. Zhang,