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Application of DMA 242 C for Quasi-Static Measurements of Piezoelectric Properties of Solids dma242c在固体压电特性准静态测量中的应用
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-02-01 DOI: 10.17516/1997-1397-2020-13-1-97-103
P. P. Turchin, V. I. Turchin, Sergey V. Yurkevich, P. O. Sukhodaev, Irina S. Raikova, Павел П. Турчин, Владимир Иванович Турчин, Сергей В. Юркевич, Павел О. Суходаев, Ирина С. Райкова
{"title":"Application of DMA 242 C for Quasi-Static Measurements of Piezoelectric Properties of Solids","authors":"P. P. Turchin, V. I. Turchin, Sergey V. Yurkevich, P. O. Sukhodaev, Irina S. Raikova, Павел П. Турчин, Владимир Иванович Турчин, Сергей В. Юркевич, Павел О. Суходаев, Ирина С. Райкова","doi":"10.17516/1997-1397-2020-13-1-97-103","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-1-97-103","url":null,"abstract":"Application of DMA 242 C for Quasi-Static Measurements of Piezoelectric Properties of Solids Pavel P.Turchin∗ Siberian Federal University Krasnoyarsk, Russian Federation Kirensky Institute of Physics Federal Research Center KSC SB RAS Krasnoyarsk, Russian Federation Vladimir I. Turchin Sergey V. Yurkevich Pavel O. Sukhodaev Irina S.Raikova Siberian Federal University Krasnoyarsk, Russian Federation","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"104 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132755031","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
A Degree Theory for Lagrangian Boundary Value Problems 拉格朗日边值问题的一个度理论
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-02-01 DOI: 10.17516/1997-1397-2020-13-1-5-25
Ammar Alsaedy, N. Tarkhanov, Аммар Аль-Саеди, Николай Тарханов
{"title":"A Degree Theory for Lagrangian Boundary Value Problems","authors":"Ammar Alsaedy, N. Tarkhanov, Аммар Аль-Саеди, Николай Тарханов","doi":"10.17516/1997-1397-2020-13-1-5-25","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-1-5-25","url":null,"abstract":"Distribution theory steams from weak solutions of linear differential equations and it is hardly efficient for nonlinear equations. The use of distributions is actually difficult in linear boundary value problems, for no canonical duality theory is available for manifolds with boundary X . The scale of Sobolev-Slobodetskij spaces W (X ) makes it possible to consider the restrictions of functions to the boundary surface, however, these latter are defined only if s − 1/p > 0. To go beyond this range, one applies integral equalities obtained by manipulation of the Green formula. The study of general boundary value problems for differential equations in Sobolev-Slobodetskij spaces of negative smoothness goes back at least as far as [22]. For a boundary value problem, the Green formula is determined uniquely up to the counterpart of boundary data within the entire Cauchy data, see [26, 9.2.2]. This allows one to avoid much ambiguity in the choice of formal adjoint boundary value problem and to set up duality. As a result one is in a position to introduce weak solutions of the boundary value problem, see for instance Section 9.3.1 ibid. and elsewhere. The Cauchy data of a weak solution to an overdetermined elliptic system in the interior of X are proved to possess weak boundary values at ∂X if and only if the solution is of finite order of growth near the boundary surface, see [26, 9.3.6]. When considering a boundary value problem for a nonlinear equation, one has no good guide to an appropriate concept of weak solution. Perhaps one has to pass to the linearised problem. In any case the definition of a weak solution is implicitly contained in the variational setting of the boundary value problem. If the problem itself fails to be Lagrangian, it can be relaxed to variational one. It is just the task of experienced researcher to recover the concept of weak solution in the variational formulation, see [2].","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114598314","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
Berry Phase for Time-Dependent Coupled Harmonic Oscillators in the Noncommutative Phase Space via Path Integral Techniques 利用路径积分技术研究非对易相空间中时变耦合谐振子的Berry相位
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-02-01 DOI: 10.17516/1997-1397-2020-13-1-58-70
L. Khiari, T. Boudjedaa, A. Makhlouf, M. Meftah, Лейла Хиари, Тахар Буджедаа, Абденасер Махлуф, Мохамед Таеб Мефта
{"title":"Berry Phase for Time-Dependent Coupled Harmonic Oscillators in the Noncommutative Phase Space via Path Integral Techniques","authors":"L. Khiari, T. Boudjedaa, A. Makhlouf, M. Meftah, Лейла Хиари, Тахар Буджедаа, Абденасер Махлуф, Мохамед Таеб Мефта","doi":"10.17516/1997-1397-2020-13-1-58-70","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-1-58-70","url":null,"abstract":"The classical geometry is based on the duality between the geometry and the commutative algebra. In commutative algebra, the product of two algebraic quantities is independent from the order. In Quantum Mechanics, following Heisenberg’s viewpoint, the geometry of the states space describing a microscopic system, an atom for example, has a new property such as the momentum and the position are non-commuting operators [1–7]:","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131551362","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
On Application of Prandtl-Obukhov Formula in the Numerical Model of the Turbulent Layer Depth Dynamics Prandtl-Obukhov公式在湍流层深度动力学数值模型中的应用
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-02-01 DOI: 10.17516/1997-1397-2020-13-1-37-47
V. Belolipetskii, S. Genova, Виктор М. Белолипецкий, Светлана Н. Генова
{"title":"On Application of Prandtl-Obukhov Formula in the Numerical Model of the Turbulent Layer Depth Dynamics","authors":"V. Belolipetskii, S. Genova, Виктор М. Белолипецкий, Светлана Н. Генова","doi":"10.17516/1997-1397-2020-13-1-37-47","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-1-37-47","url":null,"abstract":"Received 15.10.2019, received in revised form 16.11.2019, accepted 10.12.2019 Abstract. A numerical simulation of the penetration of the turbulent layer in a stably stratified fluid under the action of tangential stress was performed. For the coefficient of vertical turbulent exchange, the Prandtl–Obukhov formula is used. The results of the calculations are consistent with known experimental data and calculations by other authors.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126946455","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
On Analytical Complexity of Antiderivatives 关于不定积分的解析复杂度
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2019-12-01 DOI: 10.17516/1997-1397-2019-12-6-694-698
M. Stepanova, Мария А. Степанова
{"title":"On Analytical Complexity of Antiderivatives","authors":"M. Stepanova, Мария А. Степанова","doi":"10.17516/1997-1397-2019-12-6-694-698","DOIUrl":"https://doi.org/10.17516/1997-1397-2019-12-6-694-698","url":null,"abstract":"It is shown that the class of all functions of two variables of finite analytical complexity is not closed under integration. It also follows that the class of all functions of finite analytical complexity in the case of three or more variables is not closed under integration. For the case of three or more variables explicit examples of finite complexity functions with infinite complexity antiderivatives are constructed.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130913995","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
Singular Quasilinear Elliptic Systems with (super-) Homogeneous Condition 具有(超)齐次条件的奇异拟线性椭圆系统
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2019-06-02 DOI: 10.17516/1997-1397-2020-13-2-151-159
Hana Didi, B. Khodja, Abdelkrim Moussaoui
{"title":"Singular Quasilinear Elliptic Systems with (super-) Homogeneous Condition","authors":"Hana Didi, B. Khodja, Abdelkrim Moussaoui","doi":"10.17516/1997-1397-2020-13-2-151-159","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-2-151-159","url":null,"abstract":"In this paper we establish existence, nonexitence and regularity of positive solutions for a class of singular quasilinear elliptic systems subject to (super-) homogeneous condition. The approach is based on sub-supersolution methods for systems of quasilinear singular equations combined with perturbation arguments involving singular terms.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130906643","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: 7
Systematization and Analysis of Integrals of Motion for an Incompressible Fluid Flow 不可压缩流体运动积分的系统化与分析
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2018-06-01 DOI: 10.17516/1997-1397-2018-11-3-370-382
V. Alexander, Inland Shipping
{"title":"Systematization and Analysis of Integrals of Motion for an Incompressible Fluid Flow","authors":"V. Alexander, Inland Shipping","doi":"10.17516/1997-1397-2018-11-3-370-382","DOIUrl":"https://doi.org/10.17516/1997-1397-2018-11-3-370-382","url":null,"abstract":"Received 7.05.2017, received in revised form 30.09.2017, accepted 20.02.2018 An analysis of integrals of motion of an incompressible fluid flow both known and new obtained by author are presented in the paper. It was found that the known integrals of Lagrange –Cauchy, Bernoulli and Euler –Bernoulli are special cases of a new more general integral. It was shown that the set of all integrals of motion of an incompressible fluid form a logical chain which can be represented as a tree.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125907537","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
An Approach to Determine the Resultant of Two Entire Functions 确定两个完整函数的结式的一种方法
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2018-05-01 DOI: 10.17516/1997-1397-2018-11-2-264-268
Olga V. Khodos, Ольга В. Ходос
{"title":"An Approach to Determine the Resultant of Two Entire Functions","authors":"Olga V. Khodos, Ольга В. Ходос","doi":"10.17516/1997-1397-2018-11-2-264-268","DOIUrl":"https://doi.org/10.17516/1997-1397-2018-11-2-264-268","url":null,"abstract":"Classical recurrent Newton’s identities give relations between sums of powers of the roots of a polynomial and the coefficients of this polynomial (see, e.g., [1–3]). These formulas can be obtained with the use of the Cauchy integral formula [4, Ch.1]. This fact allows us to expand the class of functions for which these recurrent formulas are valid. Namely, for the class of entire functions of finite order of growth one can obtain relations between the coefficients of a Taylor expansion of a given function and sums of negative powers of zeros of the function [4, Ch.1]. Using the methods of complex analysis, we introduce the concept of the resultant for an entire function and an entire function with finite number of zeros and establish its properties. The proposed approach can be useful, for example, in studies of equations of chemical kinetics where exponential polynomials arise [5, 6]. It also allows us to apply this approach to the elimination of unknowns from systems of non-algebraic equations on the basis of the Zel’dovich-Semenov scheme [7]. Let us consider two polynomials f and g. The classical resultant R(f, g) can be defined in several ways: a) by using the Sylvester determinant (see, e.g., [1–3]); b) by virtue of the product formula R(f, g) = ∏","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125942238","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
Effect of Anisotropy on the Transport Properties of Layered High-temperature Superconductors with Extended Magnetic and Nonmagnetic Defects 各向异性对具有扩展磁性和非磁性缺陷的层状高温超导体输运特性的影响
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2018-05-01 DOI: 10.17516/1997-1397-2018-11-2-227-230
V. Kashurnikov, A. N. Maksimova, I. Rudnev, D. S. Odintsov, Владимир А. Кашурников, Анастасия Н. Максимова, Игорь А. Руднев, Дмитрий С. Одинцов
{"title":"Effect of Anisotropy on the Transport Properties of Layered High-temperature Superconductors with Extended Magnetic and Nonmagnetic Defects","authors":"V. Kashurnikov, A. N. Maksimova, I. Rudnev, D. S. Odintsov, Владимир А. Кашурников, Анастасия Н. Максимова, Игорь А. Руднев, Дмитрий С. Одинцов","doi":"10.17516/1997-1397-2018-11-2-227-230","DOIUrl":"https://doi.org/10.17516/1997-1397-2018-11-2-227-230","url":null,"abstract":"Transport properties of anisotropic superconductor with point, columnar and columnar tilted defects have been analyzed using Monte-Carlo method. It was shown that for columnar tilted defects the critical current dependence on anisotropy γ weakens as γ increases and vanishes at certain γ. The S-type nonlinearity of current-voltage characteristics has been shown for three-dimensional vortex system in presence of ferromagnetic defects.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127995419","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
Metal Layer Thickness Influence on the Dispersion Characteristics of Acoustic Waves in the Layered Structure 金属层厚度对层状结构中声波色散特性的影响
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2018-05-01 DOI: 10.17516/1997-1397-2018-11-2-206-218
I. Sergey, P. Olga, P. Pavel, I. T. Vladimir, P. Boris, Novel Carbon Materials
{"title":"Metal Layer Thickness Influence on the Dispersion Characteristics of Acoustic Waves in the Layered Structure","authors":"I. Sergey, P. Olga, P. Pavel, I. T. Vladimir, P. Boris, Novel Carbon Materials","doi":"10.17516/1997-1397-2018-11-2-206-218","DOIUrl":"https://doi.org/10.17516/1997-1397-2018-11-2-206-218","url":null,"abstract":"","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130572726","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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