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

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On the Differentiation in the Privalov Classes 论普里瓦洛夫类的分化
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-10-01 DOI: 10.17516/1997-1397-2020-13-5-622-630
E. G. Rodikova, F. Shamoyan
{"title":"On the Differentiation in the Privalov Classes","authors":"E. G. Rodikova, F. Shamoyan","doi":"10.17516/1997-1397-2020-13-5-622-630","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-5-622-630","url":null,"abstract":"Received 22.09.2019, received in revised form 25.04.2020, accepted 26.07.2020 Abstract. The invariance of the Privalov classes with respect to the differentiation operator is studied.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"82 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":"122935242","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
Finite Difference Schemes for Modelling the Propagation of Axisymmetric Elastic Longitudinal Waves 轴对称弹性纵波传播模拟的有限差分格式
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-09-01 DOI: 10.17516/1997-1397-2020-13-5-644-654
V. Sadovskii, O. Sadovskaya, E. A. Efimov, Владимир М. Садовский, О.В. Садовская, Евгений Алексеевич Ефимов
{"title":"Finite Difference Schemes for Modelling the Propagation of Axisymmetric Elastic Longitudinal Waves","authors":"V. Sadovskii, O. Sadovskaya, E. A. Efimov, Владимир М. Садовский, О.В. Садовская, Евгений Алексеевич Ефимов","doi":"10.17516/1997-1397-2020-13-5-644-654","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-5-644-654","url":null,"abstract":"Abstract. An efficient finite difference shock-capturing scheme for the solution of direct seismic problems is constructed. Problem formulation is based on equations of the dynamics of elastic medium with axial symmetry. When implementating the scheme on multiprocessor computing systems, the two-cyclic splitting method with respect to spatial variables is used. One-dimensional systems of equations that arise in the context of splitting procedure are represented as subsystems for longitudinal, transverse and torsional waves. The case of longitudinal waves is considered in this paper. The results of simulations with the use of explicit grid-characteristic schemes and implicit schemes of the \"predictor–corrector\" type with controllable dissipation of energy are compared with exact solutions that describe propagation of monochromatic waves.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133893117","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
Structural Changes of Co Caused a Change of the Solution pH During Chemical Deposition 化学沉积过程中Co的结构变化引起溶液pH的变化
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-08-01 DOI: 10.17516/1997-1397-2020-13-4-451-458
S. A. Podorozhnyak, A. V. Chzhan, V. Maltsev, I. N. Krayuhin, G. Patrin, I. Sakash
{"title":"Structural Changes of Co Caused a Change of the Solution pH During Chemical Deposition","authors":"S. A. Podorozhnyak, A. V. Chzhan, V. Maltsev, I. N. Krayuhin, G. Patrin, I. Sakash","doi":"10.17516/1997-1397-2020-13-4-451-458","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-4-451-458","url":null,"abstract":"The phase transformations of the Co lattice are discussed, which determine the anomalous changes in the magnetic properties of chemically deposited Co-P films obtained at various pH values. The coercivity of the Hc films obtained at low pH values exceeds 1 kOe and decreases to several units Oe in the films obtained at high pH values. It is shown that the observed changes in the magnetic properties of Co-P films are caused by the transition of the cobalt crystal lattice to the nanocrystalline state.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121552912","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
Magnetic and Structure Properties of CoPt-In₂O₃ Nanocomposite Films CoPt-In₂O₃纳米复合膜的磁性和结构性质
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-08-01 DOI: 10.17516/1997-1397-2020-13-4-431-438
L. Bykova, V. Myagkov, V. Zhigalov, A. Matsynin, D. Velikanov, G. Bondarenko, G. Patrin, Людмила Е. Быкова, Виктор Г. Мягков, Виктор С. Жигалов, Алексей А. Мацынин, Дмитрий Анатольевич Великанов, Г.Н. Бондаренко, Геннадий С. Патрин
{"title":"Magnetic and Structure Properties of CoPt-In₂O₃ Nanocomposite Films","authors":"L. Bykova, V. Myagkov, V. Zhigalov, A. Matsynin, D. Velikanov, G. Bondarenko, G. Patrin, Людмила Е. Быкова, Виктор Г. Мягков, Виктор С. Жигалов, Алексей А. Мацынин, Дмитрий Анатольевич Великанов, Г.Н. Бондаренко, Геннадий С. Патрин","doi":"10.17516/1997-1397-2020-13-4-431-438","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-4-431-438","url":null,"abstract":"Magnetic and Structure Properties of CoPt-In2O3 Nanocomposite Films Liudmila E. Bykova∗ Victor G. Myagkov Victor S. Zhigalov Alexei A. Matsynin Dmitry A. Velikanov Kirensky Institute of Physics, Federal Research Center KSC SB RAS Krasnoyarsk, Russian Federation Galina N. Bondarenko Institute of Chemistry and Chemical Technology, Federal Research Center KSC SB RAS Krasnoyarsk, Russian Federation Gennady S. Patrin Siberian Federal University Krasnoyarsk, Russian Federation Kirensky Institute of Physics, Federal Research Center KSC SB RAS Krasnoyarsk, Russian Federation","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"112 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130479914","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
Centers and Limit Cycles of Generalized Kukles Polynomial Differential Systems: Phase Portraits and Limit Cycles 广义Kukles多项式微分系统的中心与极限环:相肖像与极限环
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-08-01 DOI: 10.17516/1997-1397-2020-13-4-387-397
Ahlam Belfar, R. Benterki
{"title":"Centers and Limit Cycles of Generalized Kukles Polynomial Differential Systems: Phase Portraits and Limit Cycles","authors":"Ahlam Belfar, R. Benterki","doi":"10.17516/1997-1397-2020-13-4-387-397","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-4-387-397","url":null,"abstract":"Abstract. In this work, we give the seven global phase portraits in the Poincaré disc of the Kukles differential system given by ẋ = −y, ẏ = x+ ax + bxy + cy, where x, y ∈ R and a, b, c ∈ R with a + b + c ̸= 0. Moreover, we perturb these system inside all classes of polynomials of eight degrees, then we use the averaging theory up sixth order to study the number of limit cycles which can bifurcate from the origin of coordinates of the Kukles differential system.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"530 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133354169","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
Rate of the Almost Sure Convergence of a Generalized Regression Estimate Based on Truncated and Functional Data 基于截断和函数数据的广义回归估计的几乎肯定收敛率
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-08-01 DOI: 10.17516/1997-1397-2020-13-4-480-491
Halima Boudada, S. Leulmi, Soumia Kharfouch, Халима Будада, Сара Леулми, Соумиа Харфучи
{"title":"Rate of the Almost Sure Convergence of a Generalized Regression Estimate Based on Truncated and Functional Data","authors":"Halima Boudada, S. Leulmi, Soumia Kharfouch, Халима Будада, Сара Леулми, Соумиа Харфучи","doi":"10.17516/1997-1397-2020-13-4-480-491","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-4-480-491","url":null,"abstract":"In this paper, a nonparametric estimation of a generalized regression function is proposed. The real response random variable (r.v.) is subject to left-truncation by another r.v. while the covariate takes its values in an infinite dimensional space. Under standard assumptions, the pointwise and the uniform almost sure convergences, of the proposed estimator, are established","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"203 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123036262","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
The Study of the Fine Structure of Ti-Al Coatings on the Surface of Ti, Obtained by Mechanical Alloying 机械合金化制备Ti表面Ti- al涂层的精细组织研究
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-08-01 DOI: 10.17516/1997-1397-2020-13-4-459-465
Zhuldyz Sagdoldina, B. Rakhadilov, R. Abylkalykova, L. Kveglis, P. O. Shalaev, R. Kozhanova, Жулдыз Б. Сагдолдина, Бауржан Корабаевич Рахадилов, Р.Б. Абылкалыкова, Л.И. Квеглис, Павел О. Шалаев, Рауан С. Кожанова
{"title":"The Study of the Fine Structure of Ti-Al Coatings on the Surface of Ti, Obtained by Mechanical Alloying","authors":"Zhuldyz Sagdoldina, B. Rakhadilov, R. Abylkalykova, L. Kveglis, P. O. Shalaev, R. Kozhanova, Жулдыз Б. Сагдолдина, Бауржан Корабаевич Рахадилов, Р.Б. Абылкалыкова, Л.И. Квеглис, Павел О. Шалаев, Рауан С. Кожанова","doi":"10.17516/1997-1397-2020-13-4-459-465","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-4-459-465","url":null,"abstract":"Received 27.12.2019, received in revised form 27.04.2020, accepted 10.06.2020 Abstract. The work is devoted to the study of structural-phase transformations in composite coatings (Ti-Al)+Ti during mechanical alloying. The data on the structural-phase states of (Ti-Al)-Ti coatings after mechanical alloying have been obtained, confirming the mechanism of formation of the modified layer due to deformation compaction of powder particles on the titanium surface under mechanical action. As a result of mechanochemical fusion, a TiAl3 phase with a bcc lattice (I4/mmm structure) was detected, which corresponds to the stable state of the TiAl3 alloy. Under conditions of mechanical alloying of the structure, I4/mmm transforms into the L12 structure, which corresponds to the metastable state of TiAl3.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127764913","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
Lᵖ Regularity of the Solution of the Heat Equation with Discontinuous Coefficients 非连续系数热方程解的正则性
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-08-01 DOI: 10.17516/1997-1397-2020-13-466-479
Selma Kouicem, W. Chikouche
{"title":"Lᵖ Regularity of the Solution of the Heat Equation with Discontinuous Coefficients","authors":"Selma Kouicem, W. Chikouche","doi":"10.17516/1997-1397-2020-13-466-479","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-466-479","url":null,"abstract":"In this paper, we consider the transmission problem for the heat equation on a bounded plane sector in Lᵖ-Sobolev spaces. By Applying the theory of the sums of operators of Da Prato-Grisvard and Dore-Venni, we prove that the solution can be splited into a regular part in Lp-Sobolev space and an explicit singular part","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121987135","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
Algebraic Geometry over Heyting Algebras Heyting代数上的代数几何
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-08-01 DOI: 10.17516/1997-1397-2020-13-4-414-421
M. Nouri
{"title":"Algebraic Geometry over Heyting Algebras","authors":"M. Nouri","doi":"10.17516/1997-1397-2020-13-4-414-421","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-4-414-421","url":null,"abstract":"Universal algebraic geometry is a new area of modern algebra, whose subject is basically the study of equations over an arbitrary algebraic structure A (see [11]). In the classical algebraic geometry A of type L is a field. Many articles already published about algebraic geometry over groups, see [1, 8, 16], and [10]. O. Kharlampovich and A.Miyasnikov developed algebraic geometry over free groups to give affirmative answer for an old problem of Alfred Tarski concerning elementary theory of free groups (see [7] and also [15] for the independent solution of Z. Sela). Also in [9], a problem of Tarski about decidablity of the elementary theory of free groups is solved. Algebraic geometry over algebraic structures (universal algebraic geometry) is also developed for algebras other than groups. A systematic study of universal algebraic geometry is done in a series of articles by V.Remeslennikov, A. Myasnikov and E. Daniyarova in [2–4], and [5]. The notations of the present paper are standard and can be find in [2] or [11]. Our main aim in this article is to deal with the equational conditions in the universal algebraic geometry over Heyting algebras, i.e. different conditions relating systems of equations especially conditions about systems and sub-systems of equations over algebras. The main examples of such conditions are equational noetherian property and qω-compactness. We begin with a review of basic concepts of universal algebraic geometry and we describe the properties of being being equational noetherian, qω-compact. We will show that only finite Heyting algebras have these properties.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124650317","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 New Decomposition Theorems in some Analytic Function Spaces in Bounded Pseudoconvex Domains 有界伪凸域上解析函数空间的新分解定理
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2020-08-01 DOI: 10.17516/1997-1397-2020-13-4-503-514
R. Shamoyan, E. B. Tomashevskaya, Роми Ф. Шамоян, Елена В. Томашевская
{"title":"On New Decomposition Theorems in some Analytic Function Spaces in Bounded Pseudoconvex Domains","authors":"R. Shamoyan, E. B. Tomashevskaya, Роми Ф. Шамоян, Елена В. Томашевская","doi":"10.17516/1997-1397-2020-13-4-503-514","DOIUrl":"https://doi.org/10.17516/1997-1397-2020-13-4-503-514","url":null,"abstract":"j=1 ||fj ||Xj ≍ ||f1 . . . fm||Apα for various (Xj) spaces of analytic functions in bounded pseudoconvex domains with smooth boundary where f, fj , j = 1, . . . ,m are analytic functions and where Aα, 0 < p < ∞, α > −1 is a Bergman space. This in particular also extend in various directions a known theorem on atomic decomposition of Bergman Aα spaces.","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134395494","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
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