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Russian Journal of Mathematical Physics最新文献

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Continuously Representable Topological Groups with Indecomposable Representations of Bounded Degree 具有有界度不可分解表示的连续可表示拓扑群
IF 1.5 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2026-03-27 DOI: 10.1134/S1061920826010176
A.I. Shtern
{"title":"Continuously Representable Topological Groups with Indecomposable Representations of Bounded Degree","authors":"A.I. Shtern","doi":"10.1134/S1061920826010176","DOIUrl":"10.1134/S1061920826010176","url":null,"abstract":"<p> We prove that a topological group whose family of continuous indecomposable representations in finite-dimensional spaces separates the elements of the group and whose continuous indecomposable representations are of bounded degree is a finite extension of a commutative group having sufficiently many continuous characters. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"33 1","pages":"180 - 182"},"PeriodicalIF":1.5,"publicationDate":"2026-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561959","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
Abel Integral Equation in the Reconstruction of the Helical Magnetic Field Structure by the Polarized Synchrotron Radiation of AGN Jet AGN射流极化同步辐射重建螺旋磁场结构中的Abel积分方程
IF 1.5 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2026-01-26 DOI: 10.1134/S106192082560120X
D.D. Sokoloff, E.V. Yushkov
{"title":"Abel Integral Equation in the Reconstruction of the Helical Magnetic Field Structure by the Polarized Synchrotron Radiation of AGN Jet","authors":"D.D. Sokoloff,&nbsp;E.V. Yushkov","doi":"10.1134/S106192082560120X","DOIUrl":"10.1134/S106192082560120X","url":null,"abstract":"<p> This paper is devoted to the mathematical part of the inverse problem of reconstructing the magnetic structure in AGN jets from data on the rotation measure for the polarization angle of synchrotron emission from relativistic electrons. Based on the azimuthal symmetry of the helical field, we show how the reconstruction problem reduces to the integral Abel equation. By giving a solution to this equation, we formulate the constraints on the magnetic field components and thermal electron density under which the problem has a unique and stable solution. These results may be useful to astrophysicists and experts in integral equations and inverse problems. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"32 4","pages":"821 - 826"},"PeriodicalIF":1.5,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146043435","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
Erratum to: “Short-Wave Asymptotic Solutions of the Wave Equation with Localized Velocity Perturbations Whose Wavelength is Not Comparable to the Scale of the Localized Inhomogeneity. One-Dimensional Case” [RJMP 32 (1), 1–10 (2025)] “波长与局域非均匀性尺度不可比的局域速度扰动波动方程的短波渐近解”的勘误。一维情况”[RJMP 32 (1), 1 - 10 (2025)]
IF 1.5 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2026-01-26 DOI: 10.1134/S1061920825040193
A.I. Allilueva, A.I. Shafarevich
{"title":"Erratum to: “Short-Wave Asymptotic Solutions of the Wave Equation with Localized Velocity Perturbations Whose Wavelength is Not Comparable to the Scale of the Localized Inhomogeneity. One-Dimensional Case” [RJMP 32 (1), 1–10 (2025)]","authors":"A.I. Allilueva,&nbsp;A.I. Shafarevich","doi":"10.1134/S1061920825040193","DOIUrl":"10.1134/S1061920825040193","url":null,"abstract":"","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"32 4","pages":"833 - 833"},"PeriodicalIF":1.5,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146043437","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
Stabilization with Respect to the Parameter of the Nonlinearity Argument in a Singularly Perturbed Integro-Differential Problem 一类奇摄动积分-微分问题非线性参数的镇定
IF 1.5 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2026-01-26 DOI: 10.1134/S1061920825601491
A.G. Nikitin, E.I. Nikulin, V.T. Volkov
{"title":"Stabilization with Respect to the Parameter of the Nonlinearity Argument in a Singularly Perturbed Integro-Differential Problem","authors":"A.G. Nikitin,&nbsp;E.I. Nikulin,&nbsp;V.T. Volkov","doi":"10.1134/S1061920825601491","DOIUrl":"10.1134/S1061920825601491","url":null,"abstract":"<p> A nonlinear singularly perturbed second-order ordinary differential equation (ODE) is considered, in which one of the nonlinear arguments is nonlocal and depends on the control parameter. An asymptotic solution to the Neumann problem with an interior transition layer is constructed. The location of the transition point depends on the value of the control parameter. The effect of stabilization of the nonlocal argument with respect to the control parameter is that, as the control parameter changes over a certain range of values, the nonlocal argument changes asymptotically little. The existence of a solution with the asymptotic behavior of this type is proven, and examples of applying the general theory to specific models are considered. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"32 4","pages":"794 - 802"},"PeriodicalIF":1.5,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146043444","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
Erratum to: “Short-Wave Asymptotic Solutions of the Wave Equation with Localized Velocity Perturbations Whose Wavelength is Not Comparable to the Scale of the Localized Inhomogeneity.” [RJMP 32 (2), 228–238 (2025)] 对“波长不能与局域非均匀性尺度相比较的局域速度扰动波动方程的短波渐近解”的勘误。[rjmp 32 (2), 228-238 (2025)]
IF 1.5 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2026-01-26 DOI: 10.1134/S106192082504020X
A.I. Allilueva, A.I. Shafarevich
{"title":"Erratum to: “Short-Wave Asymptotic Solutions of the Wave Equation with Localized Velocity Perturbations Whose Wavelength is Not Comparable to the Scale of the Localized Inhomogeneity.” [RJMP 32 (2), 228–238 (2025)]","authors":"A.I. Allilueva,&nbsp;A.I. Shafarevich","doi":"10.1134/S106192082504020X","DOIUrl":"10.1134/S106192082504020X","url":null,"abstract":"","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"32 4","pages":"834 - 834"},"PeriodicalIF":1.5,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146043485","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
Finite-Dimensional Continuous Quasirepresentations of Simple Adjoint Chevalley Groups over a Totally Disconnected Locally Compact Field 完全不连通局部紧域上简单伴随Chevalley群的有限维连续拟表示
IF 1.5 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2026-01-26 DOI: 10.1134/S1061920825040168
A.I. Shtern
{"title":"Finite-Dimensional Continuous Quasirepresentations of Simple Adjoint Chevalley Groups over a Totally Disconnected Locally Compact Field","authors":"A.I. Shtern","doi":"10.1134/S1061920825040168","DOIUrl":"10.1134/S1061920825040168","url":null,"abstract":"<p> We prove that a simple adjoint Chevalley group over a totally disconnected field has no nontrivial pseudocharacters and no bounded nontrivial finite-dimensional quasirepresentations. Therefore, every finite-dimensional quasirepresentation with sufficiently small defect of this group is close to an ordinary representation of the group. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"32 4","pages":"818 - 820"},"PeriodicalIF":1.5,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146043441","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
Solution of the Moving Front Type of the Autowave Diffusion Equation with a Discontinuous Source 具有不连续源的自波扩散方程的移动锋型解
IF 1.5 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2026-01-26 DOI: 10.1134/S1061920825601582
E.A. Chunzhuk, Y. Liu, N.T. Levashova
{"title":"Solution of the Moving Front Type of the Autowave Diffusion Equation with a Discontinuous Source","authors":"E.A. Chunzhuk,&nbsp;Y. Liu,&nbsp;N.T. Levashova","doi":"10.1134/S1061920825601582","DOIUrl":"10.1134/S1061920825601582","url":null,"abstract":"<p> This paper examines the equation of autowave diffusion with a discontinuous source. Conditions are formulated under which an autowave can pass through the interface between media. Here the direction of the autowave’s motion is maintained, while its velocity changes in magnitude. An approximate law of motion of the autowave front is obtained, and an existence theorem is proved. The primary research method is the asymptotic method of differential inequalities. The results of this paper can be used to describe the propagation of autowaves in layered media and to solve inverse problems determining the characteristics of such media. The study of the process of autowave propagation in layered media can be used to develop diverse biophysical models, such as the spatially heterogeneous distribution of populations in habitats, the territorial development of megacities, and patterns of cancer cell proliferation. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"32 4","pages":"662 - 676"},"PeriodicalIF":1.5,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146043445","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
Multi-Scaled Short-Wave Asymptotic Solution of the Cauchy Problem to One-Dimensional Wave Equation with Smoothed Jump of the Velocity 具有速度平滑跳跃的一维波动方程Cauchy问题的多尺度短波渐近解
IF 1.5 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2026-01-26 DOI: 10.1134/S1061920825601946
A.I. Allilueva, A.I. Shafarevich
{"title":"Multi-Scaled Short-Wave Asymptotic Solution of the Cauchy Problem to One-Dimensional Wave Equation with Smoothed Jump of the Velocity","authors":"A.I. Allilueva,&nbsp;A.I. Shafarevich","doi":"10.1134/S1061920825601946","DOIUrl":"10.1134/S1061920825601946","url":null,"abstract":"<p> The paper studies a wave equation whose velocity has a perturbation localized at a point <span>(x_0)</span>. The initial condition has the form of a rapidly oscillating wave packet whose wavelength is not comparable to the scale of the inhomogeneity. Specifically, the length of the initial wave is of the order of <span>(varepsilon)</span> and the width of the localized inhomogeneity is of the order of <span>(varepsilon^{alpha})</span>, where <span>(varepsilon)</span> is a small parameter tending to <span>(0)</span> and <span>(alpha)</span> is any positive number. The cases <span>(alpha&lt;1)</span> and <span>(alpha&gt;1)</span> are considered separately. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"32 4","pages":"615 - 633"},"PeriodicalIF":1.5,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146043433","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
Asymptotics of the Solution of the Cauchy Problem for a Singularly Perturbed System of Oscillation Equations with a Weak Nonlinearity 一类弱非线性奇摄动振荡方程组Cauchy问题解的渐近性
IF 1.5 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2026-01-26 DOI: 10.1134/S1061920825040132
A.V. Nesterov
{"title":"Asymptotics of the Solution of the Cauchy Problem for a Singularly Perturbed System of Oscillation Equations with a Weak Nonlinearity","authors":"A.V. Nesterov","doi":"10.1134/S1061920825040132","DOIUrl":"10.1134/S1061920825040132","url":null,"abstract":"<p> An asymptotic expansion with respect to a small parameter of a singularly perturbed system of hyperbolic equations, describing vibrations of two rigidly connected strings is constructed. Under certain conditions imposed on these problems, the principal term of the asymptotic expansion of the solution is described by the generalized Korteweg–de Vries equation. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"32 4","pages":"785 - 793"},"PeriodicalIF":1.5,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146043439","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
Numerical-Asymptotic Method for Determining Nonlinear Thermal Conductivity Coefficients and Heat Fluxes and Applications in the Assessing the Thermophysical Characteristics of High-Temperature Fuel Compositions and Alloys 确定非线性导热系数和热通量的数值-渐近方法及其在高温燃料成分和合金热物理特性评估中的应用
IF 1.5 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2026-01-26 DOI: 10.1134/S1061920825601521
M.A. Davydova, G.D. Rublev, V.T. Volkov
{"title":"Numerical-Asymptotic Method for Determining Nonlinear Thermal Conductivity Coefficients and Heat Fluxes and Applications in the Assessing the Thermophysical Characteristics of High-Temperature Fuel Compositions and Alloys","authors":"M.A. Davydova,&nbsp;G.D. Rublev,&nbsp;V.T. Volkov","doi":"10.1134/S1061920825601521","DOIUrl":"10.1134/S1061920825601521","url":null,"abstract":"<p> A new method for determining thermal conductivity coefficients and estimating heat flux densities in nonlinear media using the simulation data has been developed and justified. The method is based on a stable numerical algorithm for solving the inverse problem of reconstructing the unknown parameters of a singularly perturbed model for a stationary nonlinear heat equation with a flux term linearly dependent on the temperature (as an example). This algorithm uses either an asymptotic small-parameter approximation of a stable solution to the direct problem or an information on the position of the internal layer of the thermal structure obtained using an asymptotic analysis in combination with experimental data. Numerical calculations were performed for several innovative and promising types of fuel alloys and mixed nitride nuclear fuel using the parameters of real fuel cores for fast neutron reactors. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"32 4","pages":"677 - 697"},"PeriodicalIF":1.5,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146043440","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
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