【摘要】 在化工系统DCS先进控制领域和基于机理模型的化工类商品化软件中,大型装置的过程数学模型通常处于核心地位,同时这些场合也对模型的稳定性和动态特性有较高要求。而适定性分析有利于从物理意义和数学的角度分析模型的合理性,并指导正确的数值求解方法,从而产生高质量数学模型。本文结合醇酮氧化过程模拟的实践应用了Lipschitz条件、解的存在唯一性定理、解的延拓、解对初值的连续性和可微性定理和相关常微方程稳定性理论等数学工具,发现了文献中动力学方程组存在的问题,并对其进行了改进与提高；在实际应用中也取得了更好的效果；同时,对于其它类似的数学建模与求解问题也具有理论和实践的参考意义。更多还原

【Abstract】 The process Mathematic models almost play a nuclear roal in DCS and relative APC\RT-OPT software products based on chemical mechanism,the more complicated the condition is,the more critical is required for the mathematical models on both stability and dynamic trait.As the result of deducing high quality models,the study of weU-posedness problems helps to construct the rationality of the model from the physical meaning and mathematical theory point of view,and could offer correct algorithms.In this paper the in- dustrial reaction process of non-catalytic oxidation of cyelohexane is simulated and the problem of well-posedness is discussed,such as the problems of Lipschitz,uniqueness,local solvability,and continuation of solutions are included.A classic reaction kinetic equations in documents are ameliorated.The applied results show the new model is reliable and practical;and the results obtained can also pro- vide the basis for analyse the correction of other kinetic and reactor models.更多还原