IJPAM: Volume 49, No. 1 (2008)
PROCESS AS A NONLINEAR PROBLEM
Department of Mathematics
Valahia University of Targoviste
King Carol, No. 3, Targoviste, 0200, ROMANIA
e-mail: ghita@valahia.ro
Abstract.The dissipative power in an electric arc to the REZ process assures the
necessary quantity of heat in normal conditions. We offer the premises to a
mathematical analysis of the thermal transfer in the electric arc. Using the
thermal equilibrium equation, an initial time of the initiation of the
electric arc, an integral transformation technique, we will formulate a
boundary value problem of elliptic type. Some techniques of bifurcation theory
can be applied to reveal that a ramification of solution is achieved from the
first eigenvalue of the linear part and a continuation is given by means of
implicit function theorems.
Received: September 1, 2008
AMS Subject Classification: 70E20, 74B20, 74A45, 74R10
Key Words and Phrases: electric arc, heat extraction control, quasi-linear boundary value problem
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 49
Issue: 1
