Using the correspondence between psedodifferential operator and its symbol,the authors obtain Heisenberg's inequality in Sobolev spaces and therefore a kind of quantitatire representation of uncertainty principle.
采用柠檬酸为络合剂,溶胶-凝胶法制备系列CeO_2-CuO/ZnO/Al_2O_3,在3.0 MPa压力和220~230℃反应条件下,甲苯二胺(TDA)和乙烯催化合成二乙基甲苯二胺(DETDA)为探针反应,考察其催化性能,其中CeO_2掺杂量为3%,催化活性最高。通过X射线衍射(...采用柠檬酸为络合剂,溶胶-凝胶法制备系列CeO_2-CuO/ZnO/Al_2O_3,在3.0 MPa压力和220~230℃反应条件下,甲苯二胺(TDA)和乙烯催化合成二乙基甲苯二胺(DETDA)为探针反应,考察其催化性能,其中CeO_2掺杂量为3%,催化活性最高。通过X射线衍射(XRD)、傅里叶红外光谱(FT-IR)、差热重量分析法(DTG-DTA)、核磁氢谱1 H NMR对CeO_2-CuO/ZnO/Al_2O_3、DETDA、TDA进行检测和表征,揭示了它们的微观结构和内在规律性。XRD检测发现CeO_2掺杂量增多,CeO_2-CuO/ZnO/Al_2O_3衍射峰强度增强,提高了晶化程度,金属原子存在协同效应,增多了活性中心。FT-IR揭示了DETDA内部化学键键型,拥有甲基、亚甲基的多取代芳胺。DTG-DTA检测出的质量变化与热效应两种信息,DETDA的DTG-DTA曲线在66.0、271.0℃存在二个吸热峰,分别为氨基脱离苯环、DETDA的分解产生。通过1 H NMR对DETDA、TDA检测,得到DETDA、TDA的氢原子的数目分别为18和10,分子中各个氢核对应所归属的吸收峰,分别和它们分子式中的氢原子数目吻合。CeO_2-CuO/ZnO/Al_2O_3催化合成DETDA,反应条件温和,工艺流程简单,容易实现高效率和连续化工业生产,因此具有广阔的发展前景。展开更多
To better describe the phenomenon of non-Fourier heat conduction, the fractional Cattaneo heat equation is introduced from the generalized Cattaneo model with two fractional derivatives of different orders. The anomal...To better describe the phenomenon of non-Fourier heat conduction, the fractional Cattaneo heat equation is introduced from the generalized Cattaneo model with two fractional derivatives of different orders. The anomalous heat conduction under the Neumann boundary condition in a semi-infinity medium is investigated. Exact solutions are obtained in series form of the H-function by using the Laplace transform method. Finally, numerical examples are presented graphically when different kinds of surface temperature gradient are given. The effects of fractional parameters are also discussed.展开更多
Using the method of Clerc and Stein study the multipliers of spherical Fourier transform on symmetric space to proof the multipliers theory for the space SL(3,H)/SP(3), completely avoid the complex theory of Anker, an...Using the method of Clerc and Stein study the multipliers of spherical Fourier transform on symmetric space to proof the multipliers theory for the space SL(3,H)/SP(3), completely avoid the complex theory of Anker, and we have gain the same result. Key words Riemannian symmetric space SL(3,H)/SP(3) - multipliers - spherical Fourier transform - invariant differential operator CLC number O 152.5 - O 186.12 Biography: LIAN Bao-sheng (1973-), male, Master, research direction: Li group and Lie algebra.展开更多
文摘Using the correspondence between psedodifferential operator and its symbol,the authors obtain Heisenberg's inequality in Sobolev spaces and therefore a kind of quantitatire representation of uncertainty principle.
文摘采用柠檬酸为络合剂,溶胶-凝胶法制备系列CeO_2-CuO/ZnO/Al_2O_3,在3.0 MPa压力和220~230℃反应条件下,甲苯二胺(TDA)和乙烯催化合成二乙基甲苯二胺(DETDA)为探针反应,考察其催化性能,其中CeO_2掺杂量为3%,催化活性最高。通过X射线衍射(XRD)、傅里叶红外光谱(FT-IR)、差热重量分析法(DTG-DTA)、核磁氢谱1 H NMR对CeO_2-CuO/ZnO/Al_2O_3、DETDA、TDA进行检测和表征,揭示了它们的微观结构和内在规律性。XRD检测发现CeO_2掺杂量增多,CeO_2-CuO/ZnO/Al_2O_3衍射峰强度增强,提高了晶化程度,金属原子存在协同效应,增多了活性中心。FT-IR揭示了DETDA内部化学键键型,拥有甲基、亚甲基的多取代芳胺。DTG-DTA检测出的质量变化与热效应两种信息,DETDA的DTG-DTA曲线在66.0、271.0℃存在二个吸热峰,分别为氨基脱离苯环、DETDA的分解产生。通过1 H NMR对DETDA、TDA检测,得到DETDA、TDA的氢原子的数目分别为18和10,分子中各个氢核对应所归属的吸收峰,分别和它们分子式中的氢原子数目吻合。CeO_2-CuO/ZnO/Al_2O_3催化合成DETDA,反应条件温和,工艺流程简单,容易实现高效率和连续化工业生产,因此具有广阔的发展前景。
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 11102102, 11072134, and 91130017)the Natural Science Foundation of Shandong Province, China (Grant No. ZR2009AQ014)the Independent Innovation Foundation of Shandong University, China (Grant No. 2010ZRJQ002)
文摘To better describe the phenomenon of non-Fourier heat conduction, the fractional Cattaneo heat equation is introduced from the generalized Cattaneo model with two fractional derivatives of different orders. The anomalous heat conduction under the Neumann boundary condition in a semi-infinity medium is investigated. Exact solutions are obtained in series form of the H-function by using the Laplace transform method. Finally, numerical examples are presented graphically when different kinds of surface temperature gradient are given. The effects of fractional parameters are also discussed.
文摘Using the method of Clerc and Stein study the multipliers of spherical Fourier transform on symmetric space to proof the multipliers theory for the space SL(3,H)/SP(3), completely avoid the complex theory of Anker, and we have gain the same result. Key words Riemannian symmetric space SL(3,H)/SP(3) - multipliers - spherical Fourier transform - invariant differential operator CLC number O 152.5 - O 186.12 Biography: LIAN Bao-sheng (1973-), male, Master, research direction: Li group and Lie algebra.
