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On the regularity of solutions to the drift-diffusion approximation equations in gas discharge theory
Authors:R. Sh. Islamov
Affiliation:(1) Institute of Laser and Information Technologies, Russian Academy of Sciences, ul. Svyatoozerskaya 1, Moscow oblast, Shatura, 140700, Russia
Abstract:An initial-boundary value problem is stated for the nonlinear drift-diffusion equations, which are widely used in gas discharge simulation. The class of nonlinear boundary conditions that ensure the existence and uniqueness of strong solutions is determined.
Keywords:existence theorem  uniqueness  nonlinear boundary conditions  a priori estimates  anode  cathode
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