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

Nail H. Ibragimov, Elena D. Avdonina

Published 2012-02-23, updated 2012-02-27Version 2

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.