Moroccan Journal of Condensed Matter, Vol 12, No 1 (2010)

Equation Governing the Thermal State of a Superconductor with Nonlinear Thermophysical Coefficients: Existence and Uniqueness

S. Saoud, M. Fikri, M. El Khomssi

Abstract


The aim of this paper is to prove the existence and uniqueness of the problem's solution:

equa1_478

Our basic idea is to adapt an approach coupling between two processes:

1. An iterative scheme that helps to exploit all the results obtained in [11][15].

2.  A construction of solutions sequence (Un)nЄIN IN E, wich converges to the solution of the problem.