Existence and uniqueness for the equations of the joule-thomson effect

Abstract

The electrical heating of a conductor obeying the Wiedemann-Pranz law is studied taking into account the Thomson's effect. Using a suitable transformation, the nonlinear elliptic system governing the problem is put in divergence form. The new formulation permits to find a bound for the temperature, to prove a theorem of existence and, in a special case, a result of uniqueness

AMS(MOS):

• 78A60

Keywords:

• Joule-Thomson effect
• nliptic system
• existence
• uniqueness