Solution of stationary conjugation problem heat exchange in the ultimate cylinders

Evgeny P. Magdenko

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: Solved problem of stationary heat distribution for two contacting cylinder when the temperature on the whole boundary of the cylinders is known. On the surface division the conditions of conjugation are given: equal temperature and heat flows. Stationary temperature distribution is found in the form of Fourier's sets. Their convergence is proved in functional space and the uniqueness of solution is proved.

Keywords: conjugation marginal problem, equation Laplasa, interface, a priori estimation.

UDC: 517.994

Received: 18.05.2011
Received in revised form: 25.06.2011
Accepted: 10.07.2011