Heat waves in nonlinear anisotropic space

Аuthors

Formalev V. F.^*, Selin I. A.^**

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: formalev38@mail.ru
**e-mail: i.selin@bk.ru

Abstract

Quasilinear parabolic equation with initial conditions is solved in an anisotropic space where heat conductivity tensor’s components have power dependence from temperature. Analysis of the solution has show a wave type and finite speed of the diffusion of heat as opposed to infinite speed of case parabolic type linear equation. It is displayed that heat wave’s front in the anisotropic space likes ellipse in case of a plane and likes ellipsoid in case of space. Results are discussed.

Keywords:

heat transmission; quasilinear heat conductivity equation; anisotropic space; heat wave; Koshi’s problem

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