alexa Abstract | Heat Conduction: Hyperbolic Self-similar Shock-waves in Solid Medium
ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
Open Access

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Research Article Open Access

Abstract

Analytic solutions for cylindrical thermal waves in solid medium are given based on the nonlinear hyperbolic
system of heat flux relaxation and energy conservation equations. The Fourier-Cattaneo phenomenological law
is generalized where the relaxation time and heat propagation coefficient have a general power law temperature
dependence. From such laws one cannot form a second order parabolic or telegraph-type equation.We consider the
original non-linear hyperbolic system itself with the self-similar Ansatz for the temperature distribution and for the heat
flux. As results continuous.

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Author(s): Barna IF and Kersner R

Keywords

Self-similar solution, Non-linear heat conduction, Shock wave, Cattaneo heat conduction law, Algebra, Combinatorics, Deformations Theory, Geometry, Harmonic Analysis, Homological Algebra, Homotopical Algebra, Latin Squares, Lie Algebra, Lie Superalgebra, Lie Theory, Lie Triple Systems, Loop Algebra, Operad Theory, Quantum Group, Quasi-Group, Representation theory, Super Algebras, Symmetric Spaces, Topologies

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