Heat conduction in anisotropic media: Nonlinear self-adjointness and conservation laws
Mathematical Physics
2012-02-28 v2 math.MP
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.
Keywords
Cite
@article{arxiv.1202.5133,
title = {Heat conduction in anisotropic media: Nonlinear self-adjointness and conservation laws},
author = {Nail H. Ibragimov and Elena D. Avdonina},
journal= {arXiv preprint arXiv:1202.5133},
year = {2012}
}