On the posedness of thermoelectrochemical coupled systems
1600-256, Lisbon, Portugal
* e-mail: firstname.lastname@example.org
Revised: 1 April 2013
Accepted: 9 April 2013
Published online: 3 May 2013
We examine the complete coupled thermoelectrochemical system that describes reaction problems. The cross effects, namely the thermoelectric (Peltier-Seebeck), the thermodiffusion (Dufour-Soret), and the electrochemical diffusion, occur as reciprocal phenomena of irreversible processes. We deal with convective/radiative heat-transfer boundary conditions on a part of the boundary. The objective is their application to electrolysis, Li batteries, and fuel cells. The existence of stationary solutions for the theoretical model is found, under different smallness conditions on the data, via a fixed point argument.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013