A hierarchy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations
A model of evolution of temperature and density of ions in an electrolyte
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.
A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape.