A model of evolution of temperature and density of ions in an electrolyte
Volume 32 / 2005
Applicationes Mathematicae 32 (2005), 225-241 MSC: 35Q, 35K60, 35K57, 35B40, 82C21. DOI: 10.4064/am32-2-8
We study existence and nonexistence of solutions (both stationary and evolution) for a parabolic-elliptic system describing the electrodiffusion of ions. In this model the evolution of temperature is also taken into account. For stationary states the existence of an external potential is also assumed.