1202.5133 (Nail H. Ibragimov et al.)

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

Nail H. Ibragimov, Elena D. Avdonina

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.

View original: http://arxiv.org/abs/1202.5133