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Science in China Series A-Mathematics, Physics, Astronomy & Technological Science最新文献

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Nonlinear Acoustics of Bounded Solid-Reflection and Refraction of Second-order Bulk Waves (I)——P Incidence~* 二阶体波有界固体反射和折射的非线性声学(I)——P入射~*
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-12-20 DOI: 10.1360/YA1993-36-12-1468
Z. Qian
{"title":"Nonlinear Acoustics of Bounded Solid-Reflection and Refraction of Second-order Bulk Waves (I)——P Incidence~*","authors":"Z. Qian","doi":"10.1360/YA1993-36-12-1468","DOIUrl":"https://doi.org/10.1360/YA1993-36-12-1468","url":null,"abstract":"In the light of the theory of second-order potentials in nonlinear acoustics proposed by the author, this paper investigates the second-order harmonics resulting from an incident bulk wave in a solid with a plane boundary when the P, SV and SH waves are incident. It is shown that several bulk waves of the second-order harmonics occur in solid media besides second-order surface waves. Some of the waves are accumulated and some waves propagate in the direction parallel to the boundary surface. In order to obtain enough expressions for all the third-order elasticity constants, an SH-wave incidence is necessary in addition to the P and SV wave ones. It is pointed out that the contribution of the nonaccumulative waves and the waves resulting from the boundary surface are very important for measuring the nonlinear wave fields.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122969794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
An Explanation for the Abnormal Temperature Rise of Palladium Cathode During Electrochemical Deuterium Charging 电化学充氘过程中钯阴极异常温升的解释
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-12-20 DOI: 10.1360/YA1993-36-12-1501
Sun Dalin, Lei Yongquan, Wu Jing, Wang QI-DONGbr, Wang Rong
{"title":"An Explanation for the Abnormal Temperature Rise of Palladium Cathode During Electrochemical Deuterium Charging","authors":"Sun Dalin, Lei Yongquan, Wu Jing, Wang QI-DONGbr, Wang Rong","doi":"10.1360/YA1993-36-12-1501","DOIUrl":"https://doi.org/10.1360/YA1993-36-12-1501","url":null,"abstract":"Palladium bars in different states were used as cathodes to electrolyse the heavy water in a special calorimeter. During the seven long-period electrolysis tests, the abnormal temperature rise was observed only once. On the basis of experimental data and theoretical analysis, the possibilities of chemical and D-D fusion reactions which may cause this phenomenon were eliminated. According to our calculations, we believe that the abnormal temperature rise during the electrolysis of heavy water may result from the release of the elastic strain energy accumulated in the palladium cathodes.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127443379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The Characteristic Finite Difference Methods for Enhanced Oil Recovery Simulation and L 2 Estimates 提高采收率模拟及l2估计的特征有限差分法
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-11-20 DOI: 10.1360/YA1993-36-11-1296
Y. Yirang
{"title":"The Characteristic Finite Difference Methods for Enhanced Oil Recovery Simulation and L 2 Estimates","authors":"Y. Yirang","doi":"10.1360/YA1993-36-11-1296","DOIUrl":"https://doi.org/10.1360/YA1993-36-11-1296","url":null,"abstract":"A 2-dimensional, multicomponent, multiphase, and incompressible compositional reservoir simulator has been developed and applied to chemical flooding (surfactants, alcohol and polymers) and convergence analysis. The characteristic finite difference methods for 2-dimensional enhanced oil recovery can be described as a coupled system of nonlinear partial differential equations. For a generic case of the cross interference and bounded region, we put forward a kind of characteristic finite difference schemes and make use of thick and thin grids to form a complete set, and of calculus of variations, the theory of prior estimates and techniques. Optimal order estimates in L 2 norm are derived for the error in the approximate solutions. Thus we have thoroughly solved the well-known theoretical problem proposed by a famous scientist, J. Douglas, Jr.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127825573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
包含M 11 的秩2特征3amalgam 包含M 11 的秩2特征3amalgam
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-11-20 DOI: 10.1360/ZA1993-23-11-1155
黄建华, 李慧陵
{"title":"包含M 11 的秩2特征3amalgam","authors":"黄建华, 李慧陵","doi":"10.1360/ZA1993-23-11-1155","DOIUrl":"https://doi.org/10.1360/ZA1993-23-11-1155","url":null,"abstract":"","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122838794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
高阶非线性严格双曲方程(组)相切余法波的干扰 高阶非线性严格双曲方程(组)相切余法波的干扰
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-11-20 DOI: 10.1360/ZA1993-23-11-1141
尹会成, 仇庆久
{"title":"高阶非线性严格双曲方程(组)相切余法波的干扰","authors":"尹会成, 仇庆久","doi":"10.1360/ZA1993-23-11-1141","DOIUrl":"https://doi.org/10.1360/ZA1993-23-11-1141","url":null,"abstract":"","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122152230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized Noether Theorem and Poincaré-Cartan Integral Invariant for Singular High-order Lagrangian in Fields Theories 场理论中奇异高阶拉格朗日的广义Noether定理和poincarm - cartan积分不变量
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-10-20 DOI: 10.1360/YA1993-36-10-1212
Li Zi-ping
{"title":"Generalized Noether Theorem and Poincaré-Cartan Integral Invariant for Singular High-order Lagrangian in Fields Theories","authors":"Li Zi-ping","doi":"10.1360/YA1993-36-10-1212","DOIUrl":"https://doi.org/10.1360/YA1993-36-10-1212","url":null,"abstract":"A generalized first Noether theorem (GFNT) originating from the invariance under the finite continuous group for singular high-order Lagrangian and a generalized second Noether theorem (or generalized Noether identities (GNI)) for variant system under the infinite continuous group of field theory in canonical formalism are derived. The strong and weak conservation laws in canonical formalism are also obtained. It is pointed out that some variant systems also have Dirac constraint. Based on the canonical action, the generalized Poincare-Cartan integral invariant (GPCⅡ) for singular high-order Lagrangian in the field theory is deduced. Some confusions in literafure are clarified. The GPCⅡ connected with canonical equations and canonical transformation are discussed.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130837892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
ZnS:Cr 2+ 晶体中Cr 2+ 杂质离子的EPR参量及其占位 ZnS:Cr 2+ 晶体中Cr 2+ 杂质离子的EPR参量及其占位
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-10-20 DOI: 10.1360/ZA1993-23-10-1112
吴平锋, 周康巍, 赵尚勃, 王慧素
{"title":"ZnS:Cr 2+ 晶体中Cr 2+ 杂质离子的EPR参量及其占位","authors":"吴平锋, 周康巍, 赵尚勃, 王慧素","doi":"10.1360/ZA1993-23-10-1112","DOIUrl":"https://doi.org/10.1360/ZA1993-23-10-1112","url":null,"abstract":"本文基于 ZnS:Cr 2+ 晶体中 Cr 2+ 杂质离子处于八面体有效晶场(D 2d 畸变)理论模型,通过考虑对基态有较大影响的所有低自旋态的贡献后,建立了一组维数较大曲 d 4 (D 2d * )不可约表示强场能量矩阵.利用矩阵的特征值、特征矢量以及相应的EPR 参量理论公式,对 ZnS:Cr 2+ 晶体的精细光谱、基态 ZFS,EPR 参量(g,g,D,E,F,α)、基态 Zeeman 能级以及 EPR 条件(B,v)进行了系统的理论分析与计算.结果与实验值符合很好.从而确立了 ZnS:Cr 2+ 晶体中 Cr 2+ 杂质离子的环境晶场系 D 2d 畸变八面体结构.ZnS:Cr 2+ 晶体的光、磁性质与 Cr 2+ 杂质离子的八面体晶场结构特征密切相关.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122555926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Discrete Elementary Groups 离散初等群
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-09-20 DOI: 10.1360/YA1993-36-9-1047
Zhou Qing
{"title":"The Discrete Elementary Groups","authors":"Zhou Qing","doi":"10.1360/YA1993-36-9-1047","DOIUrl":"https://doi.org/10.1360/YA1993-36-9-1047","url":null,"abstract":"This paper discusses discrete elementary subgroups in the Mobius group M( R n ).With a help of geometry,it is proved that these groups are isomorphic to either a group extension of Z by a finite subgroup of SO ( n ) or an extension of a finite group by a free Abelian group of rank k ≤ n .","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125090469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Adaptive LQ Control for Discrete-Time Stochastic Systems 离散随机系统的自适应LQ控制
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-09-20 DOI: 10.1360/YA1993-36-9-1140
Chen Hanfu
{"title":"Adaptive LQ Control for Discrete-Time Stochastic Systems","authors":"Chen Hanfu","doi":"10.1360/YA1993-36-9-1140","DOIUrl":"https://doi.org/10.1360/YA1993-36-9-1140","url":null,"abstract":"For the completelv observed discrete-time stochastic system the adaptive control is given so that a quadratic cost is minimized and the unknown coefficients of the system are consistently estimated.The feature of the proposed adaptive control scheme is that it a priori requires neither stability nor minimum-phase of the system.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127127984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Study on BaB 2 O 4 -Na 2 B 2 O 4 -K 2 B 2 O 4 Ternary System ba2o - na2o - k2o三元体系的研究
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-09-20 DOI: 10.1360/YA1993-36-9-1063
Rao Guang-hui, Qiao Zhi-yu, L. Jing-Kui
{"title":"Study on BaB 2 O 4 -Na 2 B 2 O 4 -K 2 B 2 O 4 Ternary System","authors":"Rao Guang-hui, Qiao Zhi-yu, L. Jing-Kui","doi":"10.1360/YA1993-36-9-1063","DOIUrl":"https://doi.org/10.1360/YA1993-36-9-1063","url":null,"abstract":"The phase diagram of B 2 O 4 -Na 2 B 2 O 4 -K 2 B 2 O 4 ternary system has been studied by combination of experimental measurement with theoretical calculation.On the basis of selfconsistent thermodynamic analysis of three sub-binary phase diagrams,the optimized the- rmodynamic data of these sub-binary systems are extrapolated to ternary system by asymmet- rical Toop approach,and the B 2 O 4 -Na 2 B 2 O 4 -K 2 B 2 O 4 ternary phase diagram is calculated. In comparison with a measured typical vertical section,the calculated ternary phase diagram is quite satisfactory.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121293543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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