Russian Journal of Mathematical Physics最新文献

Bifurcations of Billiard Books Modelling Seifert Fibrations with an Arbitrary Set of Special Fibers 用一组任意的特殊纤维来模拟塞弗特纤维的台球书的分岔

IF 1.9 3区物理与天体物理

Russian Journal of Mathematical Physics Pub Date : 2026-09-16 DOI: 10.1134/S1061920825601880

V.V. Vedyushkina

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Determinantal Point Processes Associated with the Bochner–Schrödinger Operator 与Bochner-Schrödinger运算符相关的决定点过程

IF 1.9 3区物理与天体物理

Russian Journal of Mathematical Physics Pub Date : 2026-09-16 DOI: 10.1134/S1061920826600674

Yu.A. Kordyukov

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Asymptotic Eigenfunctions of the Laplace Operator in an Elliptic Domain Corresponding to Birkhoff Billiards with Hyperbolic Caustics 具有双曲焦散的Birkhoff台球在椭圆域上拉普拉斯算子的渐近特征函数

IF 1.9 3区物理与天体物理

Russian Journal of Mathematical Physics Pub Date : 2026-09-16 DOI: 10.1134/S1061920826600935

S.Yu. Dobrokhotov, A.V. Tsvetkova, A.V. Turin

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On Two Families of Operator Equations, Vector Continued Fractions (K), and Related Band Operators 关于两族算子方程，向量连分式(K)，和相关的带算子

IF 1.9 3区物理与天体物理

Russian Journal of Mathematical Physics Pub Date : 2026-09-16 DOI: 10.1134/S1061920826030088

A.S. Osipov

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Erratum to: “On Some Properties and Applications of Operator Continued (J)-Fractions” [RJMP 31(4), 737–757 (2024)] “算子连(J) -分数的一些性质和应用”的勘误[RJMP 31(4), 737-757 (2024)]

IF 1.9 3区物理与天体物理

Russian Journal of Mathematical Physics Pub Date : 2026-09-16 DOI: 10.1134/S1061920826030143

A.S. Osipov

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Integral Representations for the Barenblatt–Sobolev–Galpern Pseudo-Parabolic Equation: Boundary-Value and Interface Problems on Unbounded and Finite Intervals barenblat - sobolev - galpern伪抛物方程的积分表示：无界区间和有限区间上的边值和界面问题

IF 1.9 3区物理与天体物理

Russian Journal of Mathematical Physics Pub Date : 2026-09-16 DOI: 10.1134/S1061920825601739

A. Chatziafratis, S.A. Rukolaine, E.C. Aifantis

{"title":"Integral Representations for the Barenblatt–Sobolev–Galpern Pseudo-Parabolic Equation: Boundary-Value and Interface Problems on Unbounded and Finite Intervals","authors":"A. Chatziafratis, S.A. Rukolaine, E.C. Aifantis","doi":"10.1134/S1061920825601739","DOIUrl":"10.1134/S1061920825601739","url":null,"abstract":" We obtain novel integral representations, expressed as contour integrals in the complex Fourier plane, for the solution of fully nonhomogeneous initial-boundary-value as well as interface problems for the Barenblatt–Zheltov–Kochina pseudo-parabolic equation of Sobolev–Galpern type formulated on the real line, half-line and finite interval. This fundamental partial differential equation (PDE) of mathematical physics emerges in a wide variety of natural phenomena and applied sciences including continuum mechanics, thermodynamics, chemical engineering, solid-state electronics, semi-conductor devices, battery research, and nanotechnology. A suitable implementation of a modern methodology, known as Unified Transform Method, is in force throughout this study, with particular challenges arising due to the higher-order mixed-derivative term of the PDE and the generality of the problems under consideration altogether. The boundary and interface conditions appear to be nonstandard but are naturally dictated by the structure of the PDE itself. Our explicit analytical formulae directly lend themselves to future explorations of the solutions’ qualitative properties such as asymptotic behavior, spatio-temporal dynamics, regularity and well-posedness. This work is expected to be of utility also in the investigation of nonlinear counterparts as well as towards the study of phase-transition phenomena and free-boundary problems, where the interface evolves dynamically according to energy balance laws. ","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"33 3","pages":"465 - 491"},"PeriodicalIF":1.9,"publicationDate":"2026-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148965529","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 Milman Question Concerning Finite Extensions of Connected Semisimple Compact Lie Groups 关于连通半单紧李群有限扩展的Milman问题

IF 1.9 3区物理与天体物理

Russian Journal of Mathematical Physics Pub Date : 2026-09-16 DOI: 10.1134/S1061920826030118

A.I. Shtern

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Finite Velocity of Propagation of Perturbations in the Cauchy Problem for the Wave Integro-Differential Equation with the Fractional-Exponential Memory Function 具有分数-指数记忆函数的波动积分-微分方程Cauchy问题中扰动的有限传播速度

IF 1.9 3区物理与天体物理

Russian Journal of Mathematical Physics Pub Date : 2026-09-16 DOI: 10.1134/S106192082603009X

N.A. Rautian

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The Index Crum Transform over Lebesgue Spaces 勒贝格空间上的索引簇变换

IF 1.9 3区物理与天体物理

Russian Journal of Mathematical Physics Pub Date : 2026-09-16 DOI: 10.1134/S1061920826600182

H.M. Srivastava, E.R. Negrín, J. Maan

{"title":"The Index Crum Transform over Lebesgue Spaces","authors":"H.M. Srivastava, E.R. Negrín, J. Maan","doi":"10.1134/S1061920826600182","DOIUrl":"10.1134/S1061920826600182","url":null,"abstract":" This paper is devoted to a detailed study of the index Crum transform acting on weighted Lebesgue spaces and exponential-type function spaces. After recalling the integral representation of the modified Bessel function of the second kind, we investigate mapping properties of the Crum transform on (L^{p}(mathbb{R},kappa_{a,b}(t),dt)) and on the weighted spaces (E_{a,b}). Sharp pointwise estimates for the transform kernel are established and employed to derive boundedness results from weighted (L^{p}) spaces into weighted (L^{q}) spaces and into (E_{a,b}) spaces under suitable conditions on the parameters. For the case (p=1) and (1<p<infty), continuity properties and weighted norm inequalities are obtained. In addition, several Parseval–Goldstein type identities are proved, extending classical symmetry relations to the index Crum setting. As further applications, initial and final value theorems are established, describing the asymptotic behaviour of the transform at zero and at infinity. These results provide a comprehensive functional-analytic framework for the index Crum transform and highlight its close analogy with other integral transforms arising in harmonic analysis. ","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"33 3","pages":"618 - 629"},"PeriodicalIF":1.9,"publicationDate":"2026-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148965316","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

Infinite Transcendence of Values of an Euler-Type Series with a Polyadic Liouville Parameter 具有多进Liouville参数的euler型级数值的无限超越

IF 1.9 3区物理与天体物理

Russian Journal of Mathematical Physics Pub Date : 2026-09-16 DOI: 10.1134/S1061920826030039

V.G. Chirskii

{"title":"Infinite Transcendence of Values of an Euler-Type Series with a Polyadic Liouville Parameter","authors":"V.G. Chirskii","doi":"10.1134/S1061920826030039","DOIUrl":"10.1134/S1061920826030039","url":null,"abstract":" The famous Euler series is the subject of research in various directions. It diverges in the field of complex numbers, but can be summed, for example, using the Ramis method, yielding the surprising equality where (e,gamma) are Euler’s constants. On the other hand, this series converges in all (p)-adic number fields and can be proven to be infinitely transcendental (meaning that any nonzero polynomial with integer coefficients does not vanish in an infinite set of (p)-adic number fields when this series is substituted into it). A natural generalization of the Euler series are the series of the form where ((alpha)_{0}=1,(alpha)_{n}=alpha(alpha+1)cdots(alpha+n-1), ngeq 1.) Previously, the infinite transcendence of the values of this series at algebraic points not equal to 0 with a rational parameter (alpha), the infinite irrationality of the values of this series with an algebraic irrational parameter (alpha), and the infinite irrationality of the values of this series with some transcendental parameter (alpha) were proven. The goal of this paper is to prove the infinite transcendence of the values of this series with some transcendental parameter (alpha). This required a further modification of the Siegel–Shidlovskii method. We also note that series of the type under consideration are useful in constructing pseudo-random numbers. ","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"33 3","pages":"492 - 502"},"PeriodicalIF":1.9,"publicationDate":"2026-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148965527","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