A model of evolution of temperature and density of ions in an electrolyte. (English) Zbl 1075.35015
The paper deals with a nonlinear parabolic-elliptic system describing the electrodiffusion of ions. In this modell the evolution of temperature is also taken into account. The existence of solutions in both stationary and evolution cases is studed.
Reviewer: Georg V. Jaiani (Tbilisi)
MSC:
35K50 | Systems of parabolic equations, boundary value problems (MSC2000) |
78A35 | Motion of charged particles |
82D37 | Statistical mechanics of semiconductors |
35K57 | Reaction-diffusion equations |