Heat conduction in anisotropic media: Nonlinear self-adjointness and conservation laws

Published 23 Feb 2012 in math-ph and math.MP | (1202.5133v2)

Abstract: Nonlinear self-adjointness of the anisotropic nonlinear heat equation is investigated. Mathematical models of heat conduction in anisotropic media with a source are considered and a class of self-adjoint models is identified. Conservation laws corresponding to the symmetries of the equations in question are computed.

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