Solving the Mathematical Model of the Electrode Sheath in Symmetrically Driven RF Discharges
✍ Scribed by Natalia Sternberg; Valery A. Godyak
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 293 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
A mathematical analysis is given for a self-consistent dynamic model for of sheaths in the frequency range between the ion and electron plasma frequencies for arbitrary collision parameters and arbitrary if sheath voltages. Based on this analysis, an algorithm is developed to solve the problem numerically in its full generality. Using the method that is developed, it is found that the rf conductivity current causes an asymmetrical behavior of the plasma-sheath interface and of the sheath characteristics, but has little effect on the if discharge current/voltage characteristics. (ç) 1994 Academic Press. Inc.
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## Abstract In this paper, we present a mathematical analysis of the quasilinear effects arising in a hyperbolic system of partial differential equations modelling blood flow through large compliant vessels. The equations are derived using asymptotic reduction of the incompressible Navier–Stokes eq