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Russian Journal of Mathematical Physics最新文献

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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
Stokes Phenomenon and Spectral Locus in a Problem of Singular Perturbation Theory 奇异扰动理论问题中的斯托克斯现象和频谱焦点
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/S1061920824030026
A.A. Arzhanov, S.A. Stepin, V.A. Titov, V.V. Fufaev
{"title":"Stokes Phenomenon and Spectral Locus in a Problem of Singular Perturbation Theory","authors":"A.A. Arzhanov,&nbsp;S.A. Stepin,&nbsp;V.A. Titov,&nbsp;V.V. Fufaev","doi":"10.1134/S1061920824030026","DOIUrl":"10.1134/S1061920824030026","url":null,"abstract":"<p> The paper deals with the spectral localization in a model problem of singular perturbation theory and the role of the Stokes phenomenon in this context. We study some typical properties of the asymptotic distribution of eigenvalues and, in particular, topologically different types of the spectral configurations in the semiclassical approximation. In this setting the question naturally arises about the corresponding spectral dynamics and the deformation of the actual limit spectral configurations. </p><p> <b> DOI</b> 10.1134/S1061920824030026 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"351 - 378"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409623","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
Inner Transition Layer in Solutions of the Discrete Painlevé II Equation 离散潘列维方程 II 解中的内过渡层
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/S1061920824030130
V.Yu. Novokshenov
{"title":"Inner Transition Layer in Solutions of the Discrete Painlevé II Equation","authors":"V.Yu. Novokshenov","doi":"10.1134/S1061920824030130","DOIUrl":"10.1134/S1061920824030130","url":null,"abstract":"<p> We study real-valued asymptotic solutions of the discrete Painlevé equation of second type (dPII) </p><p> In the case of <span>(n/nu = O(1))</span>, and as <span>(ntoinfty)</span>, the asymptotics is nonuniform. Near the point <span>(n= 2nu)</span>, an <i> inner transition layer</i> occurs, which matches regular asymptotics to the left and to the right of this point. The matching procedure involves classical Painlevé II transcendents. The asymptotics are applied to discrete gap probabilities and random matrix theory. </p><p> <b> DOI</b> 10.1134/S1061920824030130 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"517 - 525"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409652","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
Quasi-Classical Asymptotics Describing the Electron-Hole Interaction and the Klein Effect for the (2+1)-Dirac Equation in Abruptly Varying Fields 描述突变场中 (2+1)- 迪拉克方程的电子-空穴相互作用和克莱因效应的准经典渐近线
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/S1061920824030014
A.I. Allilueva, A.I. Shafarevich
{"title":"Quasi-Classical Asymptotics Describing the Electron-Hole Interaction and the Klein Effect for the (2+1)-Dirac Equation in Abruptly Varying Fields","authors":"A.I. Allilueva,&nbsp;A.I. Shafarevich","doi":"10.1134/S1061920824030014","DOIUrl":"10.1134/S1061920824030014","url":null,"abstract":"<p> Using Maslov’s canonical operator in the Cauchy problem for a Dirac equation, we consider the asymptotics of the solution of the Cauchy problem in which the potential depends irregularly on a small parameter. </p><p> <b> DOI</b> 10.1134/S1061920824030014 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"339 - 350"},"PeriodicalIF":1.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409609","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 Regularity of the Solution for Incompressible 3D Navier–Stokes Equation with Periodic Boundary Conditions 论带周期性边界条件的不可压缩三维纳维-斯托克斯方程解的正则性
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-06-28 DOI: 10.1134/S1061920824020092
Qun Lin
{"title":"On the Regularity of the Solution for Incompressible 3D Navier–Stokes Equation with Periodic Boundary Conditions","authors":"Qun Lin","doi":"10.1134/S1061920824020092","DOIUrl":"10.1134/S1061920824020092","url":null,"abstract":"<p> In this paper, we prove that the vorticity belongs to <span>(L^{infty}(0,T;L^2(Omega)))</span> for 3D incompressible Navier–Stokes equation with space-periodic boundary conditions, then the existence of a global smooth solution is obtained. Our approach is to construct a set of auxiliary systems to approximate the original system of vorticity equation. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 2","pages":"255 - 275"},"PeriodicalIF":1.7,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141523523","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
Abelian Theorems for the Wavelet Transform in Terms of the Fractional Hankel Transform 以分数汉克尔变换表示的小波变换的阿贝尔定理
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-06-28 DOI: 10.1134/S1061920824020031
A. Dey, K. Mahato, P. Singh
{"title":"Abelian Theorems for the Wavelet Transform in Terms of the Fractional Hankel Transform","authors":"A. Dey,&nbsp;K. Mahato,&nbsp;P. Singh","doi":"10.1134/S1061920824020031","DOIUrl":"10.1134/S1061920824020031","url":null,"abstract":"<p> This paper deals with the study of initial and final value theorems by means of fractional Hankel wavelet transform function and afterwards tempered distributions. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 2","pages":"177 - 186"},"PeriodicalIF":1.7,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141523455","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
Generalization of Spivey’s Recurrence Relation 斯比维递推关系的一般化
IF 1.7 3区 物理与天体物理
Russian Journal of Mathematical Physics Pub Date : 2024-06-28 DOI: 10.1134/S1061920824020079
T. Kim, D. S. Kim
{"title":"Generalization of Spivey’s Recurrence Relation","authors":"T. Kim,&nbsp;D. S. Kim","doi":"10.1134/S1061920824020079","DOIUrl":"10.1134/S1061920824020079","url":null,"abstract":"<p> In 2008, Spivey found a recurrence relation for the Bell numbers <span>(phi_{n})</span>. We consider the probabilistic <span>(r)</span>-Bell polynomials associated with <span>(Y)</span>, <span>(phi_{n,r}^{Y}(x))</span>, which are a probabilistic extension of the <span>(r)</span>-Bell polynomials. Here <span>(Y)</span> is a random variable whose moment generating function exists in some neighborhood of the origin and <span>(phi_{n}=phi_{n,0}^{1}(1))</span>. The aim of this paper is to generalize the relation for the Bell numbers to that for the probabilistic <span>(r)</span>-Bell polynomials associated with <span>(Y)</span>. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 2","pages":"218 - 226"},"PeriodicalIF":1.7,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141523514","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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