Friday, February 24, 2012

1202.5133 (Nail H. Ibragimov et al.)

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

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.
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