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Siberian Advances in Mathematics最新文献

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On Linearly Unstable Steady States of an MHD Model of an Incompressible Polymeric Fluid in the Case of Absolute Conductivity 绝对电导率下不可压缩聚合物流体MHD模型的线性不稳定稳态
Siberian Advances in Mathematics Pub Date : 2022-03-17 DOI: 10.1134/s1055134422010011
A. M. Blokhin, D. L. Tkachev
{"title":"On Linearly Unstable Steady States of an MHD Model of an Incompressible Polymeric Fluid in the Case of Absolute Conductivity","authors":"A. M. Blokhin, D. L. Tkachev","doi":"10.1134/s1055134422010011","DOIUrl":"https://doi.org/10.1134/s1055134422010011","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study linear stability of steady states for a certain generalization (namely,\u0000nonisothermal flows under the influence of magnetic field) of the Pokrovskiĭ–Vinogradov\u0000basic rheological model which describes flows of solutions and melts of incompressible viscoelastic\u0000polymeric media. We prove that the linear problem describing magnetohydrodynamic (MHD) flow\u0000of polymers in an infinite plane channel has the following property: For a certain behavior of\u0000magnetic field outside of the channel, there exists a solution of the problem whose amplitude\u0000grows exponentially (in the class of functions that are periodic with respect to the variable\u0000changing along the side of the channel).\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"100 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138518442","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
The Extended Large Deviation Principle for the Trajectories of a Compound Renewal Process 复合更新过程轨迹的扩展大偏差原理
Siberian Advances in Mathematics Pub Date : 2022-03-17 DOI: 10.1134/s1055134422010047
A. A. Mogul’skiĭ
{"title":"The Extended Large Deviation Principle for the Trajectories of a Compound Renewal Process","authors":"A. A. Mogul’skiĭ","doi":"10.1134/s1055134422010047","DOIUrl":"https://doi.org/10.1134/s1055134422010047","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study a homogeneous compound renewal process (c.r.p.) <span>(Z(t) )</span>. It is assumed that the elements of the sequence\u0000that rules the process satisfy Cramér’s moment condition <span>([{bf C}_0] )</span>. We consider the family of processes </p><span>$$ z_T(t):=frac 1xZ(tT),enspace\u0000enspace 0le tle 1,$$</span><p> where <span>(x=x_Tsim T )</span> as <span>(Tto infty )</span>.\u0000Conditions are proposed under which the extended large deviation principle holds\u0000for the trajectories <span>( z_T)</span> in the space <span>((mathbb {V},rho B) )</span> of functions with bounded variation, endowed with\u0000Borovkov’s metric. If the trajectories of the process <span>(Z(t) )</span> are monotone with probability 1 then, under\u0000the same condition, we prove the classical trajectory large deviation principle.\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"61 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138518409","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
Two-Sided Estimates of the Norm for a Class of Matrix Operators 一类矩阵算子范数的双面估计
Siberian Advances in Mathematics Pub Date : 2022-03-17 DOI: 10.1134/s1055134422010035
A. A. Kalybay
{"title":"Two-Sided Estimates of the Norm for a Class of Matrix Operators","authors":"A. A. Kalybay","doi":"10.1134/s1055134422010035","DOIUrl":"https://doi.org/10.1134/s1055134422010035","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> For <span>( 1&lt;p,q&lt;infty )</span>, we find necessary and sufficient\u0000conditions for the validity of a discrete Hardy-type inequality </p><span>$$ left (sum limits\u0000_{n=1}^{infty }|(Af)_n|^qright )^{frac {1}{q}} le Cleft (sum limits\u0000_{k=1}^{infty }|f_k|^pright )^{frac {1}{p}}$$</span><p> for\u0000a class of matrix operators of the form <span>((Af)_n=sum limits _{k=1}^{n}a_{n,k}f_k )</span>, where <span>(nge 1 )</span>.\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"68 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138518410","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 the Accuracy of Approximation of a Binomial Distribution by a Poisson Law 用泊松定律近似二项分布的准确性
Siberian Advances in Mathematics Pub Date : 2022-03-17 DOI: 10.1134/s1055134422010059
S. V. Nagaev
{"title":"On the Accuracy of Approximation of a Binomial Distribution by a Poisson Law","authors":"S. V. Nagaev","doi":"10.1134/s1055134422010059","DOIUrl":"https://doi.org/10.1134/s1055134422010059","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We deduce a number of new estimates for the proximity of a binomial distribution to the\u0000corresponding Poisson distribution in the uniform metric and propose a combined approach to\u0000estimate this uniform distance when, for small <span>(n)</span> and large\u0000<span>(p )</span>, the estimation is performed by computer\u0000calculating and the estimates obtained in the paper are used for the remaining values of\u0000<span>(n )</span> and <span>(p )</span>.\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138518392","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
Solution to the Dirichlet Problem for the Polyharmonic Equation in the Ball 球中多元调和方程Dirichlet问题的解
Siberian Advances in Mathematics Pub Date : 2021-11-12 DOI: 10.1134/S1055134422030038
V. Karachik
{"title":"Solution to the Dirichlet Problem for the Polyharmonic Equation in the Ball","authors":"V. Karachik","doi":"10.1134/S1055134422030038","DOIUrl":"https://doi.org/10.1134/S1055134422030038","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"32 1","pages":"197 - 210"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42571726","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 Universal Functions in Hereditarily Finite Superstructures 遗传有限超结构中的泛函数
Siberian Advances in Mathematics Pub Date : 2021-11-12 DOI: 10.33048/mattrudy.2021.24.210
A. N. Khisamiev
{"title":"On Universal Functions in Hereditarily Finite Superstructures","authors":"A. N. Khisamiev","doi":"10.33048/mattrudy.2021.24.210","DOIUrl":"https://doi.org/10.33048/mattrudy.2021.24.210","url":null,"abstract":"Abstract We obtain the necessary and sufficient condition for existence of a universal $$Sigma $$ -function in the hereditarily finite superstructure over a structure. We apply this condition to various well-known classes of structures.","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"32 1","pages":"115-128"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45649902","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
A Zero-One Law for the Rates of Convergence in the Birkhoff Ergodic Theorem with Continuous Time 连续时间下Birkhoff遍历定理收敛速率的一个0 - 1定律
Siberian Advances in Mathematics Pub Date : 2021-11-12 DOI: 10.1134/S1055134422030026
A. Kachurovskiĭ, I. Podvigin, A. Svishchev
{"title":"A Zero-One Law for the Rates of Convergence in the Birkhoff Ergodic Theorem with Continuous Time","authors":"A. Kachurovskiĭ, I. Podvigin, A. Svishchev","doi":"10.1134/S1055134422030026","DOIUrl":"https://doi.org/10.1134/S1055134422030026","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"32 1","pages":"186 - 196"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43847376","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
Multiply Transitive Lie Group of Transformations as a Physical Structure 作为物理结构的多重传递李变换群
Siberian Advances in Mathematics Pub Date : 2021-11-12 DOI: 10.33048/mattrudy.2021.24.206
V. Kyrov
{"title":"Multiply Transitive Lie Group of Transformations as a Physical Structure","authors":"V. Kyrov","doi":"10.33048/mattrudy.2021.24.206","DOIUrl":"https://doi.org/10.33048/mattrudy.2021.24.206","url":null,"abstract":"Abstract We establish a connection between physical structures and Lie groups and prove that each physical structure of rank $$(n+1,2)$$ , $$nin mathbb {N} $$ , on a smooth manifold is isotopic to an almost $$n $$ -transitive Lie group of transformations. We also prove that each almost $$n$$ -transitive Lie group of transformations is isotopic to a physical structure of rank $$(n+1,2) $$ .","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"32 1","pages":"129-144"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46935924","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
Completely Reducible Factors of Harmonic Polynomials of Three Variables 三元调和多项式的完全可约因子
Siberian Advances in Mathematics Pub Date : 2021-11-12 DOI: 10.1134/S1055134422020031
V. Gichev
{"title":"Completely Reducible Factors of Harmonic Polynomials of Three Variables","authors":"V. Gichev","doi":"10.1134/S1055134422020031","DOIUrl":"https://doi.org/10.1134/S1055134422020031","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"32 1","pages":"94 - 101"},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44239441","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 Splitting of the Normalizer of a Maximal Torus in $$E_7(q) $$ and $$E_8(q) $$ 关于$$E_7(q) $$和中极大环面的归一化函数的分裂 $$E_8(q) $$
Siberian Advances in Mathematics Pub Date : 2021-10-01 DOI: 10.1134/s1055134421040027
A. Galt, A. Staroletov
{"title":"On Splitting of the Normalizer of a Maximal Torus in $$E_7(q) $$ and $$E_8(q) $$","authors":"A. Galt, A. Staroletov","doi":"10.1134/s1055134421040027","DOIUrl":"https://doi.org/10.1134/s1055134421040027","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43337798","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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