Journal of Siberian Federal University. Mathematics & Physics / The Solution of Adjoint Heat Problem in Spherical Area by Laplace Transform Method

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (3)
Authors
Reznikova, Ilona A.
Contact information
Reznikova, Ilona A.: Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia; e-mail: ilona
Keywords
initial-boundary value problem; interface; Laplace transform method; inverse problem
Abstract

The spherically symmetric adjoint initial-boundary value problem of heat propagation in closed bounded spherical regionshasbeenresearched. Theexactanalytical solutionof thedirectandinversenonstationary problem has been obtained using Laplace transform method. The stationary state has been found and it is shown that the nonstationary solution converges to stationary one when time tends to infinity, if such are the heat sources in media.

Pages
336-341
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/9892