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Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika最新文献

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HEAT FLUX AT A CRITICAL POINT OF AXISYMMETRIC BODIES OF MINIMUM RESISTANCE 最小阻力轴对称体临界点处的热流密度
Pub Date : 2021-01-01 DOI: 10.18384/2310-7251-2021-4-43-53
S. Gorelov, V. L. Nguyen
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引用次数: 0
EXPERIMENTAL STUDY OF THE STRUCTURE OF SHOCK WAVES IN A COMPRESSED POWDER OF NIKEL NANOPARTICLES 压缩镍纳米颗粒粉末中激波结构的实验研究
Pub Date : 2021-01-01 DOI: 10.18384/2310-7251-2021-4-66-74
Timofei A. Rostilov, V. Ziborov, Aleksandr Ju. Dolgoborodov
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引用次数: 0
STUDY OF THE DEGENERACY CASE OF BASIC FEASIBLE SOLUTIONS IN THE SIMPLEX METHOD 单纯形法中基本可行解的退化情况研究
Pub Date : 2021-01-01 DOI: 10.18384/2310-7251-2021-1-103-119
A. S. Khasanov
Aim. We describe the degeneracy case of basic feasible solutions in the simplex method for use by lecturers both in the classroom and in self-study of students. Methodology. The basic concepts of linear programming are formulated and the problems caused by excessive constraints in the problem conditions are considered. The reasons for the occurrence of such a special case in the simplex method as the degeneracy of basic feasible ©
的目标。我们描述了单纯形法中基本可行解的退化情况,以供教师在课堂上和学生自学中使用。方法。阐述了线性规划的基本概念,并考虑了问题条件中过多约束所引起的问题。单纯形法中出现这种特例的原因是基本可行的简并性©
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引用次数: 0
ASYMPTOTIC HIGH-SPEED OVERSHOOT EFFECT VALUE IN A SHOCK-COMPRESSED GAS MIXTURE 冲击压缩气体混合物的渐近高速超调效应值
Pub Date : 2021-01-01 DOI: 10.18384/2310-7251-2021-3-39-56
M. M. Kuznetsov, Y. D. Kuleshova
Aim. We have found asymptotically exact values for the distribution function of pairs of molecules in a shock-compressed, binary mixture of gases with a strong difference in the concentrations and molecular weights of its components. Methodology. The research relies on the mathematical methods of theoretical physics related to the calculation of the threshold frequency of collisions based on the kinetic Boltzmann equation. Results. Asymptotically exact analytical expressions are found for the distribution functions of pairs of molecules by the absolute values of their relative velocities. The maxima of these functions are also determined in pairs: light–light, light–heavy and heavy–heavy components. These maxima correspond to the greatest intensities of the effects of high-speed overshoot in the components of the shock-compressed gas mixture. Research implication. The effect of high-speed overshoot in the components of a shock-compressed gas mixture is realized by experimentally modeling it in shock pipes (for example, in the processes of pyrolysis of carbon and carbon-hydrogen compounds). The results obtained in this work are essential for the optimal performance of such experiments.
的目标。我们已经找到了激波压缩的二元气体混合物中分子对分布函数的渐近精确值,其组分的浓度和分子量有很大差异。方法。该研究依靠理论物理中基于动力学玻尔兹曼方程计算碰撞阈值频率的数学方法。结果。通过分子对相对速度的绝对值,得到了分子对分布函数的渐近精确解析表达式。这些函数的最大值也是成对确定的:轻-轻、轻-重和重-重分量。这些最大值对应于冲击压缩气体混合物组分中高速超调效应的最大强度。研究暗示。高速超调对冲击压缩气体混合物组分的影响是通过在激波管道(例如碳和碳氢化合物的热解过程)中进行实验模拟来实现的。本工作的结果对此类实验的最佳性能至关重要。
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引用次数: 0
QUANTUM ELECTRON PLASMA AND S-WAVE INTERACTION WITH METAL HALF-SPACE 量子电子等离子体和s波与金属半空间的相互作用
Pub Date : 2021-01-01 DOI: 10.18384/2310-7251-2021-4-54-65
E. A. Bedrikova, N. Zverev, Victoria I. Paryonkina, A. Yushkanov
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引用次数: 0
GRAPHICAL SENSITIVITY ANALYSIS OF OPTIMAL SOLUTIONS OF LINEAR PROGRAMMING PROBLEMS 线性规划问题最优解的图解灵敏度分析
Pub Date : 2021-01-01 DOI: 10.18384/2310-7251-2021-2-61-76
A. S. Khasanov, Anna I. Zvereva
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引用次数: 1
TERAHERTZ MEASUREMENTS OF SCATTERING AND ABSORBING STRUCTURE CHARACTERISTICS 太赫兹散射和吸收结构特性的测量
Pub Date : 2021-01-01 DOI: 10.18384/2310-7251-2021-3-57-69
E. Y. Shamparov, A. Bugrimov, S. Rode, I. N. Zhagrina
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引用次数: 0
MEASUREMENT OF CONTRIBUTIONS OF VARIOUS TRANSMISSION TYPES TO RADIATIVE-CONDUCTIVE HEAT TRANSFER IN AIR-FILLED RANDOMLY SCATTERING STRUCTURES 在充满空气的随机散射结构中,各种传输方式对辐射传导传热贡献的测量
Pub Date : 2021-01-01 DOI: 10.18384/2310-7251-2021-4-32-42
E. Y. Shamparov, A. Bugrimov, S. Rode, I. N. Zhagrina
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引用次数: 0
ANALYTICAL CALCULATION OF THE DRY FRICTION COEFFICIENT 干摩擦系数的解析计算
Pub Date : 2021-01-01 DOI: 10.18384/2310-7251-2021-2-18-29
S. Gladkov
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引用次数: 0
BOUNDARY VALUE PROBLEMS FOR THE POISSON EQUATION IN A HALF-SPACE WITH POLYNOMIAL DATA AND THE CAUCHY PROBLEM 半空间多项式泊松方程的边值问题及柯西问题
Pub Date : 2021-01-01 DOI: 10.18384/2310-7251-2021-3-6-17
O. Algazin
Aim. The purpose is to find exact solutions of boundary value problems and the Cauchy problem for the Poisson equation in a half-space with polynomial data. Methodology. The paper considers the Dirichlet and Neumann boundary value problems in a half-space and the Cauchy problem with polynomial data for the Poisson equation. These problems are solved using the Fourier transform of generalized functions of slow growth. Results. It is shown that the Cauchy problem with polynomial data for the Poisson equation has a solution that is a polynomial. This solution is the only one in the class of functions of slow growth in hyperplanes parallel to the hyperplane on which the initial conditions are specified. The polynomial solution is obtained explicitly. Each solution from an infinite set of solutions to the Dirichlet or Neumann problem is a solution to some Cauchy problem. Research implications. We have obtained exact solutions to boundary value problems and the Cauchy problem with polynomial data for the Poisson equation.
的目标。目的是在具有多项式数据的半空间中求泊松方程边值问题和柯西问题的精确解。方法。研究了泊松方程在半空间中的Dirichlet和Neumann边值问题和具有多项式数据的Cauchy问题。利用广义慢增长函数的傅里叶变换解决了这些问题。结果。证明了泊松方程具有多项式数据的柯西问题有一个多项式解。该解是在与给定初始条件的超平面平行的一类慢增长函数中唯一的解。得到了多项式解。狄利克雷或诺伊曼问题的无穷解集中的每一个解都是某个柯西问题的解。研究的意义。得到了泊松方程边值问题和具有多项式数据的柯西问题的精确解。
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引用次数: 0
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Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika
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