秦明达, 杜才难. 脱碳动力学随机微分方程解过程的转移概率密度[J]. 工程科学学报, 1984, 6(2): 131-138. DOI: 10.13374/j.issn1001-053x.1984.02.013
引用本文: 秦明达, 杜才难. 脱碳动力学随机微分方程解过程的转移概率密度[J]. 工程科学学报, 1984, 6(2): 131-138. DOI: 10.13374/j.issn1001-053x.1984.02.013
Qin Mingda, Du Cainan. The transition probability density function of stochastion process of decarbonization kinetic stochastic differential eguations[J]. Chinese Journal of Engineering, 1984, 6(2): 131-138. DOI: 10.13374/j.issn1001-053x.1984.02.013
Citation: Qin Mingda, Du Cainan. The transition probability density function of stochastion process of decarbonization kinetic stochastic differential eguations[J]. Chinese Journal of Engineering, 1984, 6(2): 131-138. DOI: 10.13374/j.issn1001-053x.1984.02.013

脱碳动力学随机微分方程解过程的转移概率密度

The transition probability density function of stochastion process of decarbonization kinetic stochastic differential eguations

  • 摘要: 文中由带随机系数的脱碳动力学方程求出了相应的Fokker—Planck方程,求解得到了脱碳随机过程的转移概率密度函数,从而论证了该过程是一个Gauss—Markov过程。本文最后还提出了将所求得的转移概率密度应用于转炉炼钢过程后期终碳控制的某些设想。

     

    Abstract: The transition probability density function of stochastic decarbonization process is obtained by Forker-planck equations, which is deduced decarbo-nization kinetic equations with a random from rate coefficients.lt is asshown that the stochatic process does belong to Gauss-Markov process. The sugges tions of application of transition probability function to control end point carbon content for Oxygen steel making are presented.

     

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