用伸缩变换群分析法探究群体平衡方程的自相似解 林府标, 张千宏贵州财经大学数统学院, 贵阳 550025 Self-similar Solutions of the Population Balance Equation, Using Scaling Group Analysis LIN Fubiao, ZHANG QianhongSchool of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China

摘要 图/表 参考文献 相关文章(2) 点击分布统计 下载分布统计 --> 全文: PDF(464 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 摘要改进了的李群分析方法用于积分-偏微分方程（群体平衡方程）十分复杂，问题的本质在于求解积分-偏微分方程的决定方程既棘手又困难，探究决定方程的方法依赖于原积分-偏微分方程本身的结构特征和性质.相反，采用伸缩变换群分析方法探索积分-偏微分方程的自相似解既简单又方便.论文利用伸缩变换群分析方法研究了积分-偏微分方程，获得了积分-偏微分方程的显式真实解、自相似解和约化的积分-常微分方程. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2020-01-09 PACS: O175.6 基金资助:国家自然科学基金（11761018；11361012），贵州省科技计划基金项目（黔科合基础[2019]1051）；贵州省科技厅科学技术基金（[2020]1Y008）；贵州省教育厅青年科技人才成长项目（黔教合KY字[2017]150）；2018年度贵州财经大学校级科研基金项目资助（2018XYB04）；贵州财经大学创新探索及学术新苗项目（黔科合平台人才[2017]5736-020 引用本文: 林府标, 张千宏. 用伸缩变换群分析法探究群体平衡方程的自相似解[J]. 应用数学学报, 2020, 43(5): 833-852. LIN Fubiao, ZHANG Qianhong. Self-similar Solutions of the Population Balance Equation, Using Scaling Group Analysis. Acta Mathematicae Applicatae Sinica, 2020, 43(5): 833-852. 链接本文: http://123.57.41.99/jweb_yysxxb/CN/或 http://123.57.41.99/jweb_yysxxb/CN/Y2020/V43/I5/833 [1] Ramkrishna D. Population balances:theory and applications to particulate systems in engineering. 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