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Journal of Siberian Federal University. Mathematics and Physics最新文献

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A Coupled Mathematical Model for the Synthesis of Composites 复合材料合成的耦合数学模型
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-12-01 DOI: 10.17516/1997-1397-2020-13-6-708-717
A. Knyazeva, N. Bukrina
{"title":"A Coupled Mathematical Model for the Synthesis of Composites","authors":"A. Knyazeva, N. Bukrina","doi":"10.17516/1997-1397-2020-13-6-708-717","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-6-708-717","url":null,"abstract":"The work proposes a model for synthesizing a composite \"metallic matrix–reinforcing inclusions\". The solution is based on two algorithms demonstrating similar results. It is shown that, like in classic models of combustion, there is a domain of model parameters where a transition to the stationary regime is possible. It is demonstrated that taking into account the thermal and mechanical processes alters the effective properties (thermal capacity and thermal effects of the reaction) and provokes the formation of a new heat source conditioned by the interaction of different physical processes","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132037157","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
Upper Bounds for the Analytic Complexity of Puiseux Polynomial Solutions to Bivariate Hypergeometric Systems 二元超几何系统Puiseux多项式解解析复杂度的上界
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-12-01 DOI: 10.17516/1997-1397-2020-13-6-718-732
V. Krasikov
{"title":"Upper Bounds for the Analytic Complexity of Puiseux Polynomial Solutions to Bivariate Hypergeometric Systems","authors":"V. Krasikov","doi":"10.17516/1997-1397-2020-13-6-718-732","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-6-718-732","url":null,"abstract":"The paper deals with the analytic complexity of solutions to bivariate holonomic hypergeometric systems of the Horn type. We obtain estimates on the analytic complexity of Puiseux polynomial solutions to the hypergeometric systems defined by zonotopes. We also propose algorithms of the analytic complexity estimation for polynomials","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131685027","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
Accuracy of Symmetric Multi-Step Methods for the Numerical Modelling of Satellite Motion 对称多步卫星运动数值模拟方法的精度
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-12-01 DOI: 10.17516/1997-1397-2020-13-6-781-791
E. Karepova, I. Adaev, Y. Shan’ko
{"title":"Accuracy of Symmetric Multi-Step Methods for the Numerical Modelling of Satellite Motion","authors":"E. Karepova, I. Adaev, Y. Shan’ko","doi":"10.17516/1997-1397-2020-13-6-781-791","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-6-781-791","url":null,"abstract":"Stability of high-order linear multistep St¨ormer-Cowell and symmetric methods are discussed in detail in this paper. Efficient algorithms for obtaining intervals of absolute stability and periodicity are given for these methods. To demonstrate the accuracy of numerical integration of the orbit over an interval about one year two model problems are considered. First problem is the 3D Kepler problem. Second one is a specially designed 3D model problem that has the exact solution and simulates the Earth-Moon-satellite system","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"270 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134161227","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: 4
Filtration of Liquid in a Non-isothermal Viscous Porous Medium 非等温粘性多孔介质中液体的过滤
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-12-01 DOI: 10.17516/1997-1397-2020-13-6-763-773
A. Alexander, A. Margarita, A. Rudolf
{"title":"Filtration of Liquid in a Non-isothermal Viscous Porous Medium","authors":"A. Alexander, A. Margarita, A. Rudolf","doi":"10.17516/1997-1397-2020-13-6-763-773","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-6-763-773","url":null,"abstract":"The solvability of the initial-boundary value problem is proved for the system of equations of one-dimensional unsteady fluid motion in a heat-conducting viscous porous medium","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115265461","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
Nonlocal Problem for a Three-dimensional Elliptic Equation with Singular Coefficients in a Rectangular Parallelepiped 矩形平行六面体上奇异系数三维椭圆方程的非局部问题
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-10-01 DOI: 10.17516/1997-1397-2020-13-5-533-546
K. Karimov
{"title":"Nonlocal Problem for a Three-dimensional Elliptic Equation with Singular Coefficients in a Rectangular Parallelepiped","authors":"K. Karimov","doi":"10.17516/1997-1397-2020-13-5-533-546","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-5-533-546","url":null,"abstract":"Received 20.05.2020, received in revised form 14.06.2020, accepted 08.07.2020 Abstract. The nonlocal problem for an elliptic equation with two singular coefficients in a rectangular parallelepiped is studied. The uniqueness of the solution of the problem is proved with the use of the method of energy integrals. The spectral Fourier method based on the separation of variables is used to prove the existence of solutions. The solution of the problem is constructed as double Fourier series in terms of a sum of trigonometric and Bessel functions. Under some conditions on parameters and given functions the uniform convergence of the constructed series and its derivatives up to the second order inclusive is proved.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115596995","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
Relationship Between the Bergman and Cauchy-Szeg¨o Ker- nels in the Domains + (n -1) and ℜn I V + (n -1)和域上Bergman和Cauchy-Szeg¨o Ker-核的关系
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-10-01 DOI: 10.17516/1997-1397-2020-13-5-559-567
G. Khudayberganov, J. Abdullayev
{"title":"Relationship Between the Bergman and Cauchy-Szeg¨o Ker- nels in the Domains + (n -1) and ℜn I V","authors":"G. Khudayberganov, J. Abdullayev","doi":"10.17516/1997-1397-2020-13-5-559-567","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-5-559-567","url":null,"abstract":"The selection of classes biholomorphically equivalent domains has great importance in multidimensional analysis and its applications. It is well known that all simply connected proper open subsets of the plane C are conformally equivalent (Rieman mapping theorem). The situation is completely different in the multidimensional case. For instance, an open unit ball and an open unit polydisc are not biholomorphically equivalent. In fact, there does not exist any holomorphic mapping from one to the other. Therefore, it is very important to have stocks of domains that are biholomorphically equivalent to each other. Finding the kernels of representations of holomorphic functions in domains C and in the matrix domains from C [m×m] is a rather difficult task (see [1–4]). Usually, in classical theory, kernels of such kind are constructed in bounded symmetric domains (see [5]). One of such domain is the matrix ball. One considers the following problems for it (see [4, 6]): finding the transitive group of automorphisms of a matrix ball; computing the Bergman and Cauchy-Szegö kernels for this domain; finding Carleman’s formula, recovering values of a holomorphic function in a matrix ball by its values on some boundary (uniqueness) sets (see [7–9]). By writing down explicitly the transitive group of automorphisms of the matrix ball, by direct calculation, we can find the Bergman and Cauchy-Szegö kernels for this domain. And then (using the properties of the Poisson kernel) we can find Carleman’s formula, which recovers values of a holomorphic function in whole domain by its values on some boundary set of uniqueness","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129417387","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
Layered Motion of Two Immiscible Liquids with a Free Boundary 具有自由边界的两种不混溶液体的分层运动
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-10-01 DOI: 10.17516/1997-1397-2020-13-4-574-582
E. Lemeshkova
{"title":"Layered Motion of Two Immiscible Liquids with a Free Boundary","authors":"E. Lemeshkova","doi":"10.17516/1997-1397-2020-13-4-574-582","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-4-574-582","url":null,"abstract":"Abstract. The unidirectional motion of two viscous immiscible incompressible liquids in a flat channel is studied. An unsteady temperature gradient is set on the bottom solid wall, and the upper wall is a free boundary. Liquids contact on a flat interface. The motion is caused by the combined action of thermogravitational and thermocapillary forces and a given total unsteady flow rate in the layers. The corresponding initial boundary value problem is conjugate and inverse, since the pressure gradient along the channel is determined together with the velocity and temperature field. An exact stationary solution was found for it. In Laplace images, the solution of the non-stationary problem is found in the quadrature forms. It was established that if the temperature on the bottom wall and the flow rate stabilize with time, then the motion goes to a stationary state with time. This fact indicates the stability of the stationary solution with respect to unidirectional unsteady perturbations. The calculation results showing various methods of controlling motion by setting the temperature on the wall are given.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"542 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127053249","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
Experimental and Numerical Study of Free Convection Heat Transfer Around the Junction of Circular Cylinder and Heated Vertical Plate 圆柱与受热竖板交界处自由对流换热的实验与数值研究
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-10-01 DOI: 10.17516/1997-1397-2020-13-5-631-643
H. Malah, Y. Chumakov
{"title":"Experimental and Numerical Study of Free Convection Heat Transfer Around the Junction of Circular Cylinder and Heated Vertical Plate","authors":"H. Malah, Y. Chumakov","doi":"10.17516/1997-1397-2020-13-5-631-643","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-5-631-643","url":null,"abstract":"The present study investigates the effects of a circular cylinder on the three-dimensional characteristics of free convective heat transfer. The circular cylinder is mounted horizontally on a heated vertical plate and is categorized as high aspect ratio obstacle, which means the height of cylinder is comparable to its diameter. The obtained results are provided for the laminar flow regime. In addition, during numerical study the governing differential equations are solved around the Grashof number equals to 3× 10. In order to illustrated the regions of high gradients of temperature, the flow temperature is shown in terms of non-dimensional contours and diagrams. At the near junction region in upstream of cylinder, by description of heat transfer coefficients represented to the temperature gradients at intended points, the effects of cylinder emplacement on the heat transfer rate is surveyed. As expected, the value of the buoyancy-induced heat transfer coefficient increases at the cylinder junction in the upstream side. The maximum value of heat transfer coefficient is seen at the symmetry plane of study domain, which is corresponded to the location of horseshoe vortex system core. Finally, by deviation calculating between numerical and experimental results also by analysis of the experimental method uncertainty the validity and reliability of numerical and experimental approaches are proved.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127492133","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
A Perturbation of the de Rham Complex de Rham复合体的扰动
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-10-01 DOI: 10.17516/1997-1397-2020-13-5-519-532
Ihsane Malass, N. Tarkhanov
{"title":"A Perturbation of the de Rham Complex","authors":"Ihsane Malass, N. Tarkhanov","doi":"10.17516/1997-1397-2020-13-5-519-532","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-5-519-532","url":null,"abstract":"We consider a perturbation of the de Rham complex on a compact manifold with boundary. This perturbation goes beyond the framework of complexes, and so cohomology does not apply to it. On the other hand, its curvature is \"small\", hence there is a natural way to introduce an Euler characteristic and develop a Lefschetz theory for the perturbation. This work is intended as an attempt to develop a cohomology theory for arbitrary sequences of linear mappings","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123363778","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
Baranchick-type Estimators of a Multivariate Normal Mean Under the General Quadratic Loss Function 广义二次损失函数下多元正态均值的baranchick型估计
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-10-01 DOI: 10.17516/1997-1397-2020-13-5-608-621
Abdenour Hamdaoui, A. Benkhaled, M. Terbeche
{"title":"Baranchick-type Estimators of a Multivariate Normal Mean Under the General Quadratic Loss Function","authors":"Abdenour Hamdaoui, A. Benkhaled, M. Terbeche","doi":"10.17516/1997-1397-2020-13-5-608-621","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-5-608-621","url":null,"abstract":"Abdenour Hamdaoui∗ Department of Mathematics University of Sciences and Technology, Mohamed Boudiaf, Oran Laboratory of Statistics and Random Modelisations (LSMA), Tlemcen Algeria Abdelkader Benkhaled† Department of Biology Mascara University Mustapha Stambouli Laboratory of Geomatics, Ecology and Environment (LGEO2E) Mascara, Algeria Mekki Terbeche‡ Department of Mathematics University of Sciences and Technology, Mohamed Boudiaf, Oran Laboratory of Analysis and Application of Radiation (LAAR), USTO-MB Oran, Algeria","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130065829","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
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