发布求助
文献互助 智能选刊 最新文献

Russian Journal of Mathematical Physics最新文献

筛选
英文 中文
Asymptotics of Long Nonlinear Propagating Waves in a One-Dimensional Basin with Gentle Shores 具有平缓海岸的一维盆地中长非线性传播波的渐近学
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2023-12-25 DOI: 10.1134/S1061920823040143
D.S. Minenkov, M.M. Votiakova
{"title":"Asymptotics of Long Nonlinear Propagating Waves in a One-Dimensional Basin with Gentle Shores","authors":"D.S. Minenkov,&nbsp;M.M. Votiakova","doi":"10.1134/S1061920823040143","DOIUrl":"10.1134/S1061920823040143","url":null,"abstract":"<p> The Cauchy problem for a one-dimensional (nonlinear) shallow water equations over a variable bottom <span>(D(x))</span> is considered in an extended basin bounded from two sides by shores (where the bottom degenerates, <span>(D(a)=0)</span>), or by a shore and a wall. The short-wave asymptotics of the linearized system in the form of a propagating localized wave is constructed. After applying to the constructed functions a simple parametric or explicit change of variables proposed in recent papers (Dobrokhotov, Minenkov, Nazaikinsky, 2022 and Dobrokhotov, Kalinichenko, Minenkov, Nazaikinsky, 2023), we obtain the asymptotics of the original nonlinear problem. On the constructed families of functions, the ratio of the amplitude and the wavelength is studied for which hte wave does not collapse when running up to the shore. </p><p> <b> DOI</b> 10.1134/S1061920823040143 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"30 4","pages":"621 - 642"},"PeriodicalIF":1.7,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators 三维尼延胡斯算子的初等微分奇异性
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2023-12-25 DOI: 10.1134/S1061920823040015
D. Akpan, A. Oshemkov
{"title":"Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators","authors":"D. Akpan,&nbsp;A. Oshemkov","doi":"10.1134/S1061920823040015","DOIUrl":"10.1134/S1061920823040015","url":null,"abstract":"<p> In the paper, three-dimensional Nijenhuis operators are studied that have differential singularities, i.e., such points at which the coefficients of the characteristic polynomials are dependent. The case is studied in which the differentials of all invariants of the Nijenhuis operator are proportional, as well as the case when two invariants are functionally independent and the third defines a fold-type singularity. In particular, new examples of three-dimensional Nijenhuis operators with singularities of the specified type are constructed. </p><p> <b> DOI</b> 10.1134/S1061920823040015 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"30 4","pages":"425 - 431"},"PeriodicalIF":1.7,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056778","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lie’s Theorem for Solvable Connected Lie Groups Without the Continuity Assumption 无连续性假设的可解连通李群的李氏定理
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2023-12-25 DOI: 10.1134/S1061920823040180
A. I. Shtern
{"title":"Lie’s Theorem for Solvable Connected Lie Groups Without the Continuity Assumption","authors":"A. I. Shtern","doi":"10.1134/S1061920823040180","DOIUrl":"10.1134/S1061920823040180","url":null,"abstract":"<p> It is proved that if <span>(G)</span> is a connected solvable group and <span>(pi)</span> is a (not necessarily continuous) representation of <span>(G)</span> in a finite-dimensional vector space <span>(E)</span>, then there is a basis in <span>(E)</span> in which the matrices of the representation operators of <span>(pi)</span> have upper triangular form. The assertion is extended to connected solvable locally compact groups <span>(G)</span> having a connected normal subgroup for which the quotient group is a Lie group. </p><p> <b> DOI</b> 10.1134/S1061920823040180 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"30 4","pages":"701 - 703"},"PeriodicalIF":1.7,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Probabilistic Degenerate Bell Polynomials Associated with Random Variables 与随机变量相关的概率退化贝尔多项式
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2023-12-25 DOI: 10.1134/S106192082304009X
T. Kim, D. S. Kim
{"title":"Probabilistic Degenerate Bell Polynomials Associated with Random Variables","authors":"T. Kim,&nbsp;D. S. Kim","doi":"10.1134/S106192082304009X","DOIUrl":"10.1134/S106192082304009X","url":null,"abstract":"<p> The aim of this paper is to study probabilistic versions of the degenerate Stirling numbers of the second kind and the degenerate Bell polynomials, namely the probabilisitc degenerate Stirling numbers of the second kind associated with <span>(Y)</span> and the probabilistic degenerate Bell polynomials associated with <span>(Y)</span>, which are also degenerate versions of the probabilisitc Stirling numbers of the second and the probabilistic Bell polynomials considered earlier. Here <span>(Y)</span> is a random variable whose moment generating function exists in some neighborhood of the origin. We derive some properties, explicit expressions, certain identities and recurrence relations for those numbers and polynomials. In addition, we treat the special cases that <span>(Y)</span> is the Poisson random variable with parameter <span>(alpha (&gt;0))</span> and the Bernoulli random variable with probability of success <span>(p)</span>. </p><p> <b> DOI</b> 10.1134/S106192082304009X </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"30 4","pages":"528 - 542"},"PeriodicalIF":1.7,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Flow Around a Curved Plate with Small Periodic Irregularities: a Double-Deck Boundary Layer 小周期不规则曲面板周围的流动：双层边界层
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2023-12-25 DOI: 10.1134/S1061920823040040
V. G. Danilov, A. M. Glazunova
{"title":"Flow Around a Curved Plate with Small Periodic Irregularities: a Double-Deck Boundary Layer","authors":"V. G. Danilov,&nbsp;A. M. Glazunova","doi":"10.1134/S1061920823040040","DOIUrl":"10.1134/S1061920823040040","url":null,"abstract":"<p> In this paper, equations describing a double-dimensional flow along a curved smooth plate with small periodic irregularities are derived. The parameters of the irregularities are chosen so that the flow has a double-deck structure. The equations describing the terms of the asymptotic solution are written in the original coordinate system, which required changes in the form of the usual ansatz. </p><p> <b> DOI</b> 10.1134/S1061920823040040 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"30 4","pages":"453 - 465"},"PeriodicalIF":1.7,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Mean Square of the Pauli–Jordan–Dirac Anticommutator With Respect to Spatial Variables 相对于空间变量的保利-乔丹-狄拉克反调和器均方差
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2023-12-25 DOI: 10.1134/S1061920823040088
E.A. Karatsuba
{"title":"The Mean Square of the Pauli–Jordan–Dirac Anticommutator With Respect to Spatial Variables","authors":"E.A. Karatsuba","doi":"10.1134/S1061920823040088","DOIUrl":"10.1134/S1061920823040088","url":null,"abstract":"<p> The Pauli–Jordan–Dirac anticommutator mean-square formula is presented. </p><p> <b> DOI</b> 10.1134/S1061920823040088 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"30 4","pages":"522 - 527"},"PeriodicalIF":1.7,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Variations on the theme of the Trotter-Kato theorem for homogenization of periodic hyperbolic systems 周期性双曲系统同质化的特洛特-卡托定理主题变奏曲
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2023-12-25 DOI: 10.1134/S106192082304012X
Yu.M. Meshkova
{"title":"Variations on the theme of the Trotter-Kato theorem for homogenization of periodic hyperbolic systems","authors":"Yu.M. Meshkova","doi":"10.1134/S106192082304012X","DOIUrl":"10.1134/S106192082304012X","url":null,"abstract":"<p> In <span>(L_2(mathbb{R}^d;mathbb{C}^n))</span>, we consider a matrix elliptic second order differential operator <span>(B_varepsilon &gt;0)</span>. Coefficients of the operator <span>(B_varepsilon)</span> are periodic with respect to some lattice in <span>(mathbb{R}^d)</span> and depend on <span>(mathbf{x}/varepsilon)</span>. We study the quantitative homogenization for the solutions of the hyperbolic system <span>(partial _t^2mathbf{u}_varepsilon =-B_varepsilonmathbf{u}_varepsilon)</span>. In operator terms, we are interested in approximations of the operators <span>(cos (tB_varepsilon ^{1/2}))</span> and <span>(B_varepsilon ^{-1/2}sin (tB_varepsilon ^{1/2}))</span> in suitable operator norms. Approximations for the resolvent <span>(B_varepsilon ^{-1})</span> have been already obtained by T.A. Suslina. So, we rewrite hyperbolic equation as a system for the vector with components <span>(mathbf{u}_varepsilon )</span> and <span>(partial _tmathbf{u}_varepsilon)</span>, and consider the corresponding unitary group. For this group, we adapt the proof of the Trotter-Kato theorem by introduction of some correction term and derive hyperbolic results from elliptic ones. </p><p> <b> DOI</b> 10.1134/S106192082304012X </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"30 4","pages":"561 - 598"},"PeriodicalIF":1.7,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analytic Solution of the System of Integro-Differential Equations for the Plasma Model in an External Field 外场等离子体模型积分微分方程系的解析解
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2023-12-25 DOI: 10.1134/S1061920823040039
S.I. Bezrodnykh, N.M. Gordeeva
{"title":"Analytic Solution of the System of Integro-Differential Equations for the Plasma Model in an External Field","authors":"S.I. Bezrodnykh,&nbsp;N.M. Gordeeva","doi":"10.1134/S1061920823040039","DOIUrl":"10.1134/S1061920823040039","url":null,"abstract":"<p> We study a system of two integro-differential equations that arises as the result of linearization of Boltzmann–Maxwell’s kinetic equations, where the collision integral is chosen in the Bhatnagar–Gross–Krook approximation, and the unperturbed state of the plasma is characterized by the Fermi–Dirac distribution. The unknown functions are the linear parts of the perturbations of the distribution function of the charged particles and the electric field strength in plasma. In the paper, an analytical representation for the general solution of this system is found. When deriving this representation, some new results were applied to Fourier transforms of distributions (generalized functions). </p><p> <b> DOI</b> 10.1134/S1061920823040039 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"30 4","pages":"443 - 452"},"PeriodicalIF":1.7,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rectilinear Vortex Thread in a Radially Nonhomogeneous Bingham Solid 径向非均匀Bingham固体中的直线涡旋螺纹
IF 1.4 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2023-09-05 DOI: 10.1134/S1061920823030019
V. A. Banko, D. V. Georgievskii
{"title":"Rectilinear Vortex Thread in a Radially Nonhomogeneous Bingham Solid","authors":"V. A. Banko,&nbsp;D. V. Georgievskii","doi":"10.1134/S1061920823030019","DOIUrl":"10.1134/S1061920823030019","url":null,"abstract":"<p> We study an initial boundary value problem of axially symmetric one-dimensional unsteady shear in the viscoplastic space (a Bingham solid) initiated by a rectilinear vortex thread located along the symmetry axis. The force intensity of the thread is represented by a given monotone piecewise continuous function of time. The density and the dynamical viscosity of the medium are constant, and the yield point is a given piecewise continuous function of radius. We find similar and quasisimilar expressions for the tangent stress and for the rotating component of the velocity both in viscoplastic shear domains and in rigid zones. We show that the vortex thread with time-bounded force intensity may generate a viscoplastic shear only inside a cylinder of certain radius. If the thread intensity growth linearly with time, then the radius of the shear domain grows proportionally to <span>(sqrt t)</span>. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"30 3","pages":"275 - 279"},"PeriodicalIF":1.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4230924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Monodromization and a ( mathcal{P} mathcal{T} )-Symmetric Nonself-Adjoint Quasi-Periodic Operator 一元化与( mathcal{P} mathcal{T} ) -对称非自伴随拟周期算子
IF 1.4 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2023-09-05 DOI: 10.1134/S1061920823030032
D. I. Borisov, A. A. Fedotov
{"title":"Monodromization and a ( mathcal{P} mathcal{T} )-Symmetric Nonself-Adjoint Quasi-Periodic Operator","authors":"D. I. Borisov,&nbsp;A. A. Fedotov","doi":"10.1134/S1061920823030032","DOIUrl":"10.1134/S1061920823030032","url":null,"abstract":"<p> We study the operator acting in <span>(L_2(mathbb{R}))</span> by the formula <span>(( mathcal{A} psi)(x)=psi(x+omega)+psi(x-omega)+ lambda e^{-2pi i x} psi(x))</span>, where <span>(xinmathbb R)</span> is a variable, and <span>(lambda&gt;0)</span> and <span>(omegain(0,1))</span> are parameters. It is related to the simplest quasi-periodic operator introduced by P. Sarnak in 1982. We investigate <span>( mathcal{A} )</span> using the monodromization method, the Buslaev–Fedotov renormalization approach, which arose when trying to extend the Bloch–Floquet theory to difference equations on <span>( mathbb{R} )</span>. Within this approach, the analysis of <span>( mathcal{A} )</span> turns out to be very natural and transparent. We describe the geometry of the spectrum and calculate the Lyapunov exponent. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"30 3","pages":"294 - 309"},"PeriodicalIF":1.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4232890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信