We state a 1D model with quasi-stationary gas flows approximation for a carbon reactivity test in the production of silicon. The mathematical problem we formulate is a non-linear boundary value problem for a third-order ordinary differential equation with non-linear boundary conditions, which are non-local in time. We prove existence and uniqueness of a classical solution and provide a numerical example. (C) 1998 B. G. Teubner Stuttgart-John Wiley & Sons Ltd. [References: 10]
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机译:我们提出了一个近似准静态气流近似的一维模型,用于硅生产中的碳反应性测试。我们提出的数学问题是具有非线性边界条件的三阶常微分方程的非线性边界值问题,这些条件在时间上是非局部的。我们证明了经典解的存在性和唯一性,并提供了一个数值示例。 (C)1998年B. G. Teubner斯图加特-约翰·威利父子有限公司[参考:10]
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