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Poisson方程的一维最优系统和不变解 被引量:3
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作者 白月星 苏道毕力格 《数学杂志》 2018年第4期706-712,共7页
本文研究了Poisson方程的一维最优系统及其不变解问题.利用吴-微分特征列集算法,借助于Mathematica软件,计算了Poisson方程的古典对称,并构建了Lie代数的一维最优系统.同时,利用不变量法,获得了一维最优系统中一个元素对应的Poisson方... 本文研究了Poisson方程的一维最优系统及其不变解问题.利用吴-微分特征列集算法,借助于Mathematica软件,计算了Poisson方程的古典对称,并构建了Lie代数的一维最优系统.同时,利用不变量法,获得了一维最优系统中一个元素对应的Poisson方程的不变解.得到的结果推广了Poisson方程的精确解. 展开更多
关键词 古典对称 最优系统 吴-微分特征列集算法 不变解
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Vapor Phase Ammoxidation of 4-Phenyl-o-Xylene into 4-Phenylphthalonitrile on V–Sb–Bi–Zr/<i>γ</i>-Al<sub>2</sub>O<sub>3</sub>Oxide Catalyst
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作者 Gulu A. Bagirzade Dilgam B. Taghiyev Manaf R. Manafov 《Modern Research in Catalysis》 2015年第3期59-67,共9页
Literature data dedicated to formation of 4-phenylphthalonitrile were analyzed and generalized. As a result of the own studies, it has been established that on V–Sb–Bi–Zr/γ-Al2O3-oxide catalyst ammoxidation gives ... Literature data dedicated to formation of 4-phenylphthalonitrile were analyzed and generalized. As a result of the own studies, it has been established that on V–Sb–Bi–Zr/γ-Al2O3-oxide catalyst ammoxidation gives 83.10 mol.% 4-phenylphthalonitrile at high conversion of the initial 4-phenyl-o-xylene in a single process. In connection with increased demand to purity of 4-phe-nylphthalonitrile at using and division problem of hard-separable impurity of crystal 4-phe-nylphthalimide, a variant of the technological process design with average conversion and recirculation of the unreacted 4-phenyl-o-xylene and intermediate 4-phenyl-o-tolunitrile was proposed. In contrast to the single process, it has been determined that recirculation reduces quantity of form by-products, fractions of deep oxidation and increases selectivity on 4-phenylphthalonitrile up to 96.14% - 97.72%. For the data analysis and visualization of results it is developed and offered the software package of OptimMe written in C#. 展开更多
关键词 AMMONOLYSIS Nitriles Kinetics 4-Phenyl-o-Xylene Software Package optimme
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