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

Physics – Mathematical Physics

Scientific paper

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Scientific paper

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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