IMA JOURNAL OF APPLIED MATHEMATICS, v. 71, No. 4, Page. 590-599
Abstract
A system of partial differential equation for modelling the conduction of heat was proposed by Ghaleb & El-Deen Mohamedein (1989). According to their theory, the initial-value problem for the temperature is ill-posed. In this paper, two well-posed problems for the temperature are introduced and investigated.