A. Yu. Chebotarev, G. V. Grenkin, A. E. Kovtanyuk, “Unique solvability of the subdifferential boundary value problem for the complex heat transfer equations”, Dal'nevost. Mat. Zh., 2016, Volume 16, Number 2,Pages <nobr>229

This article is cited in 1 paper

Unique solvability of the subdifferential boundary value problem for the complex heat transfer equations

A. Yu. Chebotarev^ab, G. V. Grenkin^ab, A. E. Kovtanyuk^ab

^a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
^b Far Eastern Federal University, Vladivostok

Abstract: A model of the process of radiation-conductive heat transfer with the multi-valued dependence of emissivity on the radiation intensity is considered. The unique solvability of the subdifferential boundary value problem for the complex heat transfer equations in a three-dimensional domain is proved.

Key words: radiation heat transfer, subdifferential boundary conditions, non-local unique solvability.

UDC: 517.95

MSC: Primary 35J61; Secondary 35Q79

Received: 09.11.2016