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非局部边界条件下的逆热传导问题
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作者 王谦 《滨州学院学报》 2022年第6期57-67,共11页
研究了一类非局部边界条件下的逆热传导问题。由于问题的不适定性,需要额外的超定条件。先用分离变量法构造特征函数系统,再通过辅助谱理论和Fourier方法确定解的一般形式,通过级数收敛判别法和Schauder不动点定理证明解的存在性,最后... 研究了一类非局部边界条件下的逆热传导问题。由于问题的不适定性,需要额外的超定条件。先用分离变量法构造特征函数系统,再通过辅助谱理论和Fourier方法确定解的一般形式,通过级数收敛判别法和Schauder不动点定理证明解的存在性,最后利用估计证明解的唯一性和稳定性。同时,采用预测矫正型迭代法和Crank Nicoloson有限差分格式相结合的方法对反演问题进行数值分析,并讨论了数值算例。 展开更多
关键词 反问题 热传导方程 辅助谱理论 存在性 唯一性 稳定性
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Hydrogen-Assisted C-C Coupling on Reaction of CuC3H-Cluster Anion with CO
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作者 Xiao-na Li Li-xue Jiang +2 位作者 Qing-yu Liu Yi Ren Gong-ping Wei 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2020年第5期628-634,I0063-I0069,I0079,共15页
A fundamental study on C-C coupling,that is the crucial step in the Fischer-Tropsch synthesis(FTS)process to obtain multi-carbon products,is of great importance to tailor catalysts and then guide a more promising path... A fundamental study on C-C coupling,that is the crucial step in the Fischer-Tropsch synthesis(FTS)process to obtain multi-carbon products,is of great importance to tailor catalysts and then guide a more promising pathway.It has been demonstrated that the coupling of CO with the metal carbide can represent the early stage in the FTS process,while the related mechanism is elusive.Herein,the reactions of the CuC3H-and CuC3-cluster anions with CO have been studied by using mass spectrometry and theoretical calculations.The experimental results showed that the coupling of CO with the C3H-moiety of CuC3H can generate the exclusive ion product COC3H-.The reactivity and selectivity of this reaction of CuC3H-with CO are greatly higher than that of the reaction of CuC3-with CO,and this H-assisted C-C coupling process was rationalized by theoretical calculations. 展开更多
关键词 C-C coupling Hydrogen-assisted reaction Mass spectrometry DFT calculations
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