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On the mathematical analysis and optimization of chemical vapor infiltration in materials science. (English) Zbl 0962.76083
Summary: We present an analysis of partial differential equations that describe the chemical vapor infiltration processes. The mathematical model requires at least two partial differential equations, one describing the gas phase and one corresponding to the solid phase. A key difficulty in the process is the long processing times that are typically required. We address here the issue of optimization and show that we can choose appropriate pressure and temperature to minimize these processing times.

MSC:
76N25 Flow control and optimization for compressible fluids and gas dynamics
76S05 Flows in porous media; filtration; seepage
76V05 Reaction effects in flows
35Q35 PDEs in connection with fluid mechanics
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