Stress and heat flux stabilization for viscous compressible medium equations with a nonmonotone state function

We study a system of quasilinear equations describing one-dimensional flow of a viscous compressible heat-conducting medium with a nonmonotone state function and mass force. The large-time behavior of solutions is considered for arbitrarily large initial data. In spite of possible nonuniqueness and discontinuity of the stationary solution, we prove L²-stabilization for the stress and heat flux as t → ∞ along with corresponding global energy estimates for them. The new method of proof utilizes a combination of energy type equalities for the stress and heat flux. Consequently, H¹-stabilization of the velocity and temperature along with global estimates for their derivatives are valid as well.     

Symmetry specified enumeration of substituted derivatives: an easy solution to the complex problem

Several sophisticated methods to solution of symmetry specified enumeration problems are available in the modern literature. In this paper we propose a simple technique that allows one to manually compute the exact numbers of fixed-symmetry derivatives for a given structure either with inclusion or ignoring the substitution patterns. The basic idea of the method suggested consists in the derivation of Pólya-like cycle indices for the automorphism groups of specially constructed orbit partition graphs; the expansion of these indices and subsequent simple calculations result in the desired numbers of substituted derivatives with achiral substituents. Limitations of the new technique (and a method suggested earlier) depend on the relevance of the orbit partitions for particular subgroups of the point symmetry group. For illustration purposes, the results obtained for the prismane (D _3h ) and adamantane (T _d ) structures are discussed. In the former case the numbers of substituted derivatives can be found for all subgroups of the D _3h group, whereas in the latter case these numbers can be determined for eight out of eleven subgroups of the T _d point symmetry group. This work is based on the text of the lecture presented by the authors at the 5th All-Russia Conference on Molecular Modeling (Moscow, April 2007). The paper deals with the methodology and detailed treatment of applied aspects related to solution of enumeration problems for substituted derivatives with prescribed symmetry groups. Unlike the known methods of symmetry specified enumeration, the technique suggested is simple enough and may be regarded as generalization of the Pólya methodology, which is widely used by chemists. Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 2, pp. 227–245, February, 2008.     

浅谈如何做好竣工结算

简述了竣工结算编制的依据与原则,提出了竣工结算书的编制方法。     

如何在材料力学实验中提高学生的学习兴趣

文章分析了材料力学实验的现状和目前存在的问题,针对性地进行了实验教学改革的探索,并应用于实验教学当中,取得了良好的教学效果。     

煤质管理是国有煤矿可持续发展的基石

文章论述了煤质管理的重要性,阐明了煤质管理是国有煤矿可持续发展的基石。     

论文化建设在林区发展中的作用

以山西省五台山国有林管理局为例,阐述了林区文化建设的重要性及文化建设在林区发展中的重要作用。     

"知识工程"与少数民族地区新农村建设

论述了在少数民族地区新农村建设中开展“知识工程”的意义,介绍了“知识工程”的形式,并提出了几点建议。     

需求特征对供应链中企业资源再利用的影响分析

为了了解需求因素对供应链中企业资源再利用的影响,选取工业园上下游企业的相互联系为分析背景,建立企业间的供应链模型,研究了需求不确定性σ和需求弹性k对供应链中企业资源再利用的影响.模型仿真结果表明:对存在物料供需关系的2个企业来说,随着主产品需求不确定性σ的不断增大,2个企业的总利润π呈不断下降的趋势,销售损失和库存成本增加,企业资源再利用受到阻碍;随着弹性因子k的不断增大,需求批量与供给批量差距呈现出一种先减小后增大的趋势,总利润π减小,对企业资源再利用起到了负面的影响,阻碍其发展.     

钢—混凝土组合梁的研究与发展

文章对钢—混凝土组合梁的研究和发展进行了分析,并介绍了有关钢—混凝土组合梁的研究方法及值得进一步研究的问题。