R. Sh. Islamov, “On the regularity of solutions to the drift-diffusion approximation equations in gas discharge theory”, Zh. Vychisl. Mat. Mat. Fiz., 2006, Volume 46, Number 1,Pages <nobr>131

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On the regularity of solutions to the drift-diffusion approximation equations in gas discharge theory

R. Sh. Islamov

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.

Key words: existence theorem, uniqueness, nonlinear boundary conditions, a priori estimates, anode, cathode.

UDC: 519.634

Received: 21.02.2005
Revised: 26.05.2005