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Russian Journal of Mathematical Physics最新文献

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A Condition for the Strong Continuity of Representations of Topological Groups in Reflexive Fréchet Spaces 反身弗雷谢特空间中拓扑群表征的强连续性条件
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI: 10.1134/S106192082403018X
A.I. Shtern
{"title":"A Condition for the Strong Continuity of Representations of Topological Groups in Reflexive Fréchet Spaces","authors":"A.I. Shtern","doi":"10.1134/S106192082403018X","DOIUrl":"10.1134/S106192082403018X","url":null,"abstract":"<p> Some necessary and sufficient conditions for the strong continuity of representations of topological groups in reflexive Fréchet spaces are obtained. </p><p> <b> DOI</b> 10.1134/S106192082403018X </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"571 - 573"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409610","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
Existence and Asymptotic Stability of Solutions for Periodic Parabolic Problems in Tikhonov-Type Reaction–Diffusion–Advection Systems with KPZ Nonlinearities 具有 KPZ 非线性的季霍诺夫型反应-扩散-平流系统中周期抛物问题的解的存在性和渐近稳定性
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI: 10.1134/S1061920824030129
E.I. Nikulin, N.N. Nefedov, A.O. Orlov
{"title":"Existence and Asymptotic Stability of Solutions for Periodic Parabolic Problems in Tikhonov-Type Reaction–Diffusion–Advection Systems with KPZ Nonlinearities","authors":"E.I. Nikulin,&nbsp;N.N. Nefedov,&nbsp;A.O. Orlov","doi":"10.1134/S1061920824030129","DOIUrl":"10.1134/S1061920824030129","url":null,"abstract":"<p> This paper studies time-periodic solutions of singularly perturbed Tikhonov systems of reaction–diffusion–advection equations with nonlinearities that include the square of the gradient of the unknown function (KPZ nonlinearities). The boundary layer asymptotics of solutions are constructed for Neumann and Dirichlet boundary conditions. The study considers both the case of quasimonotone sources and systems without the quasimonotonicity condition. The asymptotic method of differential inequalities is used to prove theorems on the existence of solutions and their Lyapunov asymptotic stability. </p><p> <b> DOI</b> 10.1134/S1061920824030129 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"504 - 516"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409641","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
Explicit Solution to the Birman Problem for the 2D-Laplace Operator 二维拉普拉斯算子的比尔曼问题的显式求解
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI: 10.1134/S1061920824030117
M. Malamud
{"title":"Explicit Solution to the Birman Problem for the 2D-Laplace Operator","authors":"M. Malamud","doi":"10.1134/S1061920824030117","DOIUrl":"10.1134/S1061920824030117","url":null,"abstract":"<p> We construct an appropriate restriction of the 2-dimensional Laplace operator that has compact preresolvent though the resolvent of its Friedrichs extension is not compact and, moreover, its spectrum is absolutely continuous. This result solves the Birman problem. </p><p> <b> DOI</b> 10.1134/S1061920824030117 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"495 - 503"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409599","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
On the Point Spectrum of a Non-Self-Adjoint Quasiperiodic Operator 论非自交准周期算子的点谱
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI: 10.1134/S106192082403004X
D.I. Borisov, A.A. Fedotov
{"title":"On the Point Spectrum of a Non-Self-Adjoint Quasiperiodic Operator","authors":"D.I. Borisov,&nbsp;A.A. Fedotov","doi":"10.1134/S106192082403004X","DOIUrl":"10.1134/S106192082403004X","url":null,"abstract":"<p> We consider a difference operator acting in <span>(l^2(mathbb Z))</span> by the formula <span>(( mathcal{A} psi)_n=psi_{n+1}+psi_{n-1}+lambda e^{-2pi mathrm{i} (theta+omega n)} psi_n)</span>, <span>(nin mathbb{Z})</span>, where <span>(omegain(0,1))</span>, <span>(lambda&gt;0)</span>, and <span>(thetain [0,1])</span> are parameters. This operator was introduced by P. Sarnak in 1982. For <span>(omeganotin mathbb Q)</span>, the operator <span>( mathcal{A} )</span> is quasiperiodic. Previously, within the framework of a renormalization approach (monodromization method), we described the location of the spectrum of this operator. In the present work, we first establish the existence of the point spectrum for different values of parameters, and then study the eigenfunctions. To do so, using ideas of the renormalization approach, we study the difference operator on the circle obtained from the original one by the Fourier transform. This allows us, first, to obtain a new type condition guaranteeing the existence of point spectrum and, second, to describe in detail a multi-scale self-similar structure of the Fourier transforms of the eigenfunctions. </p><p> <b> DOI</b> 10.1134/S106192082403004X </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"389 - 406"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409589","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
On Higher Integrability of Solutions to the Poisson Equation with Drift in Domains Perforated Along the Boundary 论沿边穿孔域中有漂移的泊松方程解的高积分性
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI: 10.1134/S1061920824030051
G.A. Chechkin, T.P. Chechkina
{"title":"On Higher Integrability of Solutions to the Poisson Equation with Drift in Domains Perforated Along the Boundary","authors":"G.A. Chechkin,&nbsp;T.P. Chechkina","doi":"10.1134/S1061920824030051","DOIUrl":"10.1134/S1061920824030051","url":null,"abstract":"<p> In the paper, we consider a linear second order elliptic problem with drift in a domain perforated along the boundary. Setting homogeneous Dirichlet condition on the boundary of the cavities and homogeneous Neumann condition on the outer boundary of the domain, we prove the higher integrability of the gradient of the solution to the problem (the Boyarsky–Meyers estimate). </p><p> <b> DOI</b> 10.1134/S1061920824030051 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"407 - 417"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409590","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
Maslov Rank Distributions for the Analysis of Two-Dimensional and Quasi-Two-Dimensional Turbulent Flows 用于分析二维和准二维湍流的马斯洛夫秩分布
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI: 10.1134/S1061920824030075
M.A. Guzev, S.V. Fortova, A.N. Doludenko, A.O. Posudnevskaya, A.D. Ermakov
{"title":"Maslov Rank Distributions for the Analysis of Two-Dimensional and Quasi-Two-Dimensional Turbulent Flows","authors":"M.A. Guzev,&nbsp;S.V. Fortova,&nbsp;A.N. Doludenko,&nbsp;A.O. Posudnevskaya,&nbsp;A.D. Ermakov","doi":"10.1134/S1061920824030075","DOIUrl":"10.1134/S1061920824030075","url":null,"abstract":"<p> A new practice of applying V.P. Maslov’s theoretical results has been implemented for analyzing fluid flow regimes that arise during their numerical modelling. In this paper, using the example of a Kolmogorov-type flow for two-dimensional motion of a viscous fluid, a rank analysis of the vorticity field and its frequency of occurrence is proposed. A similar analysis has been performed for the problem of forming columnar structures in the spatial case. It has been shown that, for the turbulent, vortex, and laminar fluid motion regimes, the rank distributions exhibit characteristics that can be used to classify the flow types. </p><p> <b> DOI</b> 10.1134/S1061920824030075 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"438 - 449"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409591","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
Relations Between Various Types of Suns in Asymmetric Spaces 不对称空间中各类太阳之间的关系
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI: 10.1134/S1061920824030166
I.G. Tsarkov
{"title":"Relations Between Various Types of Suns in Asymmetric Spaces","authors":"I.G. Tsarkov","doi":"10.1134/S1061920824030166","DOIUrl":"10.1134/S1061920824030166","url":null,"abstract":"<p> Left and right-inverse <span>(delta)</span>-suns and left and right <span>(gamma)</span>-suns are studied in asymmetric spaces. Sufficient conditions for the existence of best approximation and solarity of sets are obtained in the uniformly convex asymmetric spaces. </p><p> <b> DOI</b> 10.1134/S1061920824030166 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"562 - 567"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409596","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
Asymptotic Eigenmodes Localized Near the Edge of a Vessel, with Acoustic Medium, Which Is Covered by a Thin Elastic Membrane 被薄弹性膜覆盖的声学介质容器边缘附近的渐近特征模定位
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI: 10.1134/S1061920824030105
M.A. Lyalinov
{"title":"Asymptotic Eigenmodes Localized Near the Edge of a Vessel, with Acoustic Medium, Which Is Covered by a Thin Elastic Membrane","authors":"M.A. Lyalinov","doi":"10.1134/S1061920824030105","DOIUrl":"10.1134/S1061920824030105","url":null,"abstract":"<p> The paper deals with the formal short-wavelength asymptotic solutions describing the acoustic eigenoscillations in a vessel having a hard bottom, filled in by an acoustic medium, and covered by a thin elastic membrane. The solutions are localized in the medium near the line of the rigid contact of the membrane covering the vessel with the edge of the vessel. The coefficients in the asymptotic expansion of the solutions satisfy a recurrent sequence of solvable problems, whereas the frequencies, for which such nontrivial formal solutions exist, obey an asymptotic ‘quantization-type condition. </p><p> <b> DOI</b> 10.1134/S1061920824030105 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"477 - 494"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409597","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: “Natural Volume Forms on Pseudo-Finslerian Manifolds with (m)th Root Metrics” [RJMP 31 (2), 317–324 (2024)] 勘误："Natural Volume Forms on Pseudo-Finslerian Manifolds with (m)th Root Metrics" [RJMP 31 (2), 317-324 (2024)] 的勘误。
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI: 10.1134/S1061920824030191
A.V. Solov’yov
{"title":"Erratum to: “Natural Volume Forms on Pseudo-Finslerian Manifolds with (m)th Root Metrics” [RJMP 31 (2), 317–324 (2024)]","authors":"A.V. Solov’yov","doi":"10.1134/S1061920824030191","DOIUrl":"10.1134/S1061920824030191","url":null,"abstract":"","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"574 - 574"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409655","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
Generalized Product Hausdorff Operator on Two-Weighted Morrey–Herz Spaces 双权重莫里-赫兹空间上的广义积豪斯多夫算子
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-10-03 DOI: 10.1134/S1061920824030063
D.V. Duong, N.T. Hong
{"title":"Generalized Product Hausdorff Operator on Two-Weighted Morrey–Herz Spaces","authors":"D.V. Duong,&nbsp;N.T. Hong","doi":"10.1134/S1061920824030063","DOIUrl":"10.1134/S1061920824030063","url":null,"abstract":"<p> In this paper, we introduce the generalized product Hausdorff operator and study the boundedness of this operator on product two-weighted Morrey, Morrey–Herz spaces. As consequences, we obtain some results about the bounds of product Hausdorff operator associated with the Opdam–Cherednik transform and the sharp bounds for the product weighted Hardy–Littlewood average operator and the product Hardy–Cesàro operator on such spaces. </p><p> <b> DOI</b> 10.1134/S1061920824030063 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"418 - 437"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409595","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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