Mathematical Problems: Mathematical Modeling in Plasma Physics

9404433 Sternberg提出的研究涉及射频放电中发生的物理过程的数学建模。目的是研究静态有界等离子体问题中等离子体中心恒定离子迁移态到等离子体边界空间电荷态的转变。本文还建立了确定中频时护套小信号电容的数学模型。对等离子体和鞘层的更精确的分析和数值理解对于未来等离子体化学、激光工程、微电子和核物理学的成功应用至关重要。利用数学方法，改进物理实验的公式，为物理问题提供新的见解。

9404433 Sternberg The proposed research is concerned with mathematical modeling of physical processes that occur in radio frequency discharges. The intent is to study the transition from the constant ion mobility regime at the center of the plasma to the space-charge regime at the plasma boundary in the static bounded plasma problem. It is also intended to construct a mathematical model for determining the small signal capacitance of the sheath at intermediate frequencies. A more precise analytical and numerical understanding of the the plasma and the sheath is vital for future successful applications in plasma chemistry, laser engineering, microelectronics, and nuclear physics. Using mathematical methods, the proposed project will improve the formulation of the physical experiments, and provide new insight into the physical problem.