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

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Method for Determining the Mass Flow for Pressure Measurements of Gas Hydrates Formation in the Well 井中天然气水合物地层压力测量质量流量的确定方法
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2021-04-01 DOI: 10.17516/1997-1397-2021-14-2-195-205
N. Borisova, I. Rozhin
{"title":"Method for Determining the Mass Flow for Pressure Measurements of Gas Hydrates Formation in the Well","authors":"N. Borisova, I. Rozhin","doi":"10.17516/1997-1397-2021-14-2-195-205","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-2-195-205","url":null,"abstract":"The work focuses on the inverse problem of determining differential equation coefficients for additional information on the behavior of solution. Furthermore, the algorithm for determining parameters of systems of ordinary differential equations on the basis of stomatal pressure measurements is generalized for the model of hydrate formation when the internal well section of changes with time and also has to be determined during the solution of the general problem. The computational experiment has been conducted for wells of Otradninsky gas condensate deposits of the Republic Sakha (Yakutia), the exploitation of which indicates that the complications are most likely caused by formation of gas hydrates both in the bottom-hole and in the well and its plumes. It has been established that the most important influence on the dynamics of hydrate plugs formation in wells is the gas production mode, its equation of state, reservoir and geocryological conditions. Time dependency of mass flow has been determined, which knowledge will make it possible to control the change of flow area of the entire well and, if necessary, to prevent and remove formation of natural gas hydrates","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132202780","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
Asymptotic Behavior of Small Perturbations for Unsteady Motion an Ideal Fluid Jet 理想流体射流非定常运动小扰动的渐近特性
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2021-04-01 DOI: 10.17516/1997-1397-2021-14-2-206-214
V. K. Andreev
{"title":"Asymptotic Behavior of Small Perturbations for Unsteady Motion an Ideal Fluid Jet","authors":"V. K. Andreev","doi":"10.17516/1997-1397-2021-14-2-206-214","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-2-206-214","url":null,"abstract":"The stability problem of unsteady rotating circular jet motion of an ideal fluid is reduced to solving an initial-boundary value problem for Poincare–Sobolev type equation with an evolutionary condition on the jet free initial boundary. The solution of this problem is constructed by the method of variables separation. The asymptotic amplitudes behavior perturbations of the free jet boundary at t → ∞ is found. The results obtained are compared with the known results on the stability of the potential jet motion","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133005785","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
Energy Gap Evaluation in Microcrystalline m-HfO2 Powder 微晶m-HfO2粉末的能隙评价
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2021-04-01 DOI: 10.17516/1997-1397-2021-14-2-226-231
A. Shilov, S. Savchenko, A. Vokhmintsev, A. Chukin, M. Karabanalov, Maksim I. Vlasov, I. Weinstein
{"title":"Energy Gap Evaluation in Microcrystalline m-HfO2 Powder","authors":"A. Shilov, S. Savchenko, A. Vokhmintsev, A. Chukin, M. Karabanalov, Maksim I. Vlasov, I. Weinstein","doi":"10.17516/1997-1397-2021-14-2-226-231","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-2-226-231","url":null,"abstract":"In this paper optical properties of microcrystalline HfO2 powder are investigated. X-ray diffraction and Raman spectroscopy were used to determine that the studied samples are in monoclinic phase. Based on the analysis of the diffuse reflectance spectra and applying Kubelka-Munk formalism we evaluated the indirect bandgap value Eg = 5.34 ± 0.05 eV. The calculated value is in agreement with independent data for HfO2 thin films synthesized by various methods. The paper is based on the materials of the report presented at the first Russian scientific confererence with the participation of the international community \"YENISEI PHOTONICS – 2020\"","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"55 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132900319","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
Solvability of BVPs for the Parabolic-Hyperbolic Equation with Non-linear Loaded Term 非线性加载项抛物-双曲型方程BVPs的可解性
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2021-04-01 DOI: 10.17516/1997-1397-2021-14-2-133-145
O. Abdullaev
{"title":"Solvability of BVPs for the Parabolic-Hyperbolic Equation with Non-linear Loaded Term","authors":"O. Abdullaev","doi":"10.17516/1997-1397-2021-14-2-133-145","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-2-133-145","url":null,"abstract":"This work is devoted to prove the existence and uniqueness of solution of BVP with non-local assumptions on the boundary and integral gluing conditions for the parabolic-hyperbolic type equation involving Caputo derivatives. Using the method of integral energy, the uniqueness of solution have been proved. Existence of solution was proved by the method of integral equations","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125463412","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 Note on Computation MTs with Time in Instructions or with Tapes of Fixed Length 带时间指令或带固定长度磁带的计算笔记
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2021-02-01 DOI: 10.17516/1997-1397-2021-14-1-69-73
V. Rybakov
{"title":"A Note on Computation MTs with Time in Instructions or with Tapes of Fixed Length","authors":"V. Rybakov","doi":"10.17516/1997-1397-2021-14-1-69-73","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-1-69-73","url":null,"abstract":"In this short note we analyze the computation algorithms modelled by Church-Turing-Post machines with algorithms for computation which use amount of time spent for computation (number of steps) in their own definitions. We notice some difference and illustrate that there are distinctions in behaviour of such algorithms; also we consider working of MTs on tapes of fixed length and observe again noticed difference","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121727543","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
Ring Current Proton Dynamics Driven by Wave-Particle Interactions During a Nonstorm Period 非风暴期间波粒相互作用驱动的环电流质子动力学
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2021-02-01 DOI: 10.17516/1997-1397-2021-14-1-98-104
S. V. Smolin
{"title":"Ring Current Proton Dynamics Driven by Wave-Particle Interactions During a Nonstorm Period","authors":"S. V. Smolin","doi":"10.17516/1997-1397-2021-14-1-98-104","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-1-98-104","url":null,"abstract":"Modeling of pitch angle scattering of ring current protons at interaction with electromagnetic ion cyclotron waves during a nonstorm period was considered very seldom. Therefore it is used correlated observation of enhanced electromagnetic ion cyclotron (EMIC) waves and dynamic evolution of ring current proton flux collected by Cluster satellite near the location L = 4.5 during March 26–27, 2003, a nonstorm period (Dst > –10 nT). Energetic (5–30 keV) proton fluxes are found to drop rapidly (e.g., a half hour) at lower pitch angles, corresponding to intensified EMIC wave activities. As mathematical model is used the non-stationary one-dimensional pitch angle diffusion equation which allows to compute numerically density of phase space or pitch angle distribution of the charged particles in the Earth’s magnetosphere. The model depends on time t, a local pitch angle and several parameters (the mass of a particle, the energy, the McIlwain parameter, the magnetic local time or geomagnetic eastern longitude, the geomagnetic activity index, parameter of the charged particle pitch angle distribution taken for the 90 degrees pitch angle at t = 0, the lifetime due to wave–particle interactions). This model allows numerically to estimate also for different geophysical conditions a lifetime due to wave–particle interactions. It is shown, that EMIC waves can yield decrements in proton flux within 30 minutes, consistent with the observational data. The good consent is received. Comparison of results on full model for the pitch angle range from 0 up to 180 degrees and on the model for the 90 degrees pitch angle is lead. For a perpendicular differential flux of the Earth’s ring current protons very good consent with the maximal relative error approximately 3.23 % is received","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"304 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132042748","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
Mathematical Model of Fluids Motion in Poroelastic Snow-ice Cover 孔隙弹性冰雪覆盖层流体运动的数学模型
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2021-02-01 DOI: 10.17516/1997-1397-2021-14-1-47-56
M. Tokareva, A. Papin
{"title":"Mathematical Model of Fluids Motion in Poroelastic Snow-ice Cover","authors":"M. Tokareva, A. Papin","doi":"10.17516/1997-1397-2021-14-1-47-56","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-1-47-56","url":null,"abstract":"The dynamics of a snow-ice cover is considered within the theory of poroelasticity. The snow-ice cover is modeled by a three-phase medium consisting of water, air and ice. The governing equations are the equations of mass conservation for each phase with phase transitions, the equations of conservation of phase momentum in the form of Darcy’s law, the equation of conservation of momentum of the whole system, the rheological equation for porosity and the equation of heat balance of snow. In the full formulation the liquid and air pressures are functions of the temperature and the corresponding densities, and the viscosity and compressibility coefficients of ice are functions of the temperature. The problem of two-dimensional nonstationary filtration of water in a thin poroelastic ice plate is considered in the model case. The solution is obtained in quadratures","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121232694","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
Influence of Uniaxial Pressure on the Characteristics of Lamb and SH-wave Propagation in LiNbO₃ Crystalline Plates 单轴压力对LiNbO₃晶片Lamb波和sh波传播特性的影响
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2021-02-01 DOI: 10.17516/1997-1397-2021-14-1-105-116
S. I. Burkov, O. N. Pletnev, P. P. Turchin, O. P. Zolotova, B. Sorokin
{"title":"Influence of Uniaxial Pressure on the Characteristics of Lamb and SH-wave Propagation in LiNbO₃ Crystalline Plates","authors":"S. I. Burkov, O. N. Pletnev, P. P. Turchin, O. P. Zolotova, B. Sorokin","doi":"10.17516/1997-1397-2021-14-1-105-116","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-1-105-116","url":null,"abstract":"Theoretical study of uniaxial pressure influence on the propagation characteristics of Lamb and SH-waves in lithium niobate plate is carried out. Electromechanical coupling coefficients and controlling coefficients of the pressure influence on phase velocity are calculated in various directions. Transformation and hybridization of acoustic modes upon a pressure influence have been derived in details. PACS: 43.25.Fe; 43.35.Cg; 77.65.-j","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"195 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115249342","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
Journal of Siberian Federal University. Mathematics & Physics 西伯利亚联邦大学学报。数学与物理
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2021-02-01 DOI: 10.17516/1997-1397-2021-14-1-21-27
O. I. Kuzovatova
{"title":"Journal of Siberian Federal University. Mathematics & Physics","authors":"O. I. Kuzovatova","doi":"10.17516/1997-1397-2021-14-1-21-27","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-1-21-27","url":null,"abstract":"The aim of this work is to find approximate analytic solution of the problem of granular medium motion in a convergent channel, to develop computational algorithm based on the finite element method, and to carry out numerical calculations of the problem","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123544421","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
Construction of Exact Solution Describing Three-layer Flows with Evaporation in a Horizontal Channel 水平通道中含蒸发的三层流动精确解的构造
Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2021-02-01 DOI: 10.17516/1997-1397-2021-14-1-57-68
V. R. Ekaterina
{"title":"Construction of Exact Solution Describing Three-layer Flows with Evaporation in a Horizontal Channel","authors":"V. R. Ekaterina","doi":"10.17516/1997-1397-2021-14-1-57-68","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-1-57-68","url":null,"abstract":"The paper considers the flow in a three-layer system \"liquid–liquid–gas\" in a horizontal chan- nel with solid impermeable walls.The evaporation process at the thermocapillary interface of the liquid and gas is taken into account. The Soret and Dufour effects are taken into account in the upper layer filled with a gas-vapor mixture. The system of Navier-Stokes equations in the Boussinesq approximation is used as a mathematical model. A temperature regime is set on the channel walls. Liquid evaporation is modeled using the conditions at the liquid-gas interface. Exact solution of a special type describing the flow in a three-layer system is constructed. The velocity profiles are presented on the example of the \"silicone oil–water–air\" system for various values of gas flow rate, longitudinal temperature gradients at the system boundaries, thicknesses of liquid and gas-vapor layers","PeriodicalId":422202,"journal":{"name":"Journal of Siberian Federal University. Mathematics and Physics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127802276","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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