Document Zbl 1075.35015

A model of evolution of temperature and density of ions in an electrolyte. (English) Zbl 1075.35015

Appl. Math. 32, No. 2, 225-241 (2005).

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

Keywords:

nonlinear parabolic-elliptic systems; electrodiffusion of ions; stationary problems; evolution problems; mean field equations; drift-diffusion and energy-transport systems

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