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Journal of Mathematical Physics Analysis Geometry最新文献

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Global boundedness for a food chain model with general logistic source 具有一般物流源的食物链模型的全局有界性
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-07-01 DOI: 10.1063/5.0151144
Lu Xu, Li Yang, Qiao Xin
{"title":"Global boundedness for a food chain model with general logistic source","authors":"Lu Xu, Li Yang, Qiao Xin","doi":"10.1063/5.0151144","DOIUrl":"https://doi.org/10.1063/5.0151144","url":null,"abstract":"This paper concerns the higher-dimensional food chain model with a general logistic source ut = Δu + u(1 − uα−1 − v − w), vt = Δv − ∇·(ξv∇u) + v(1 − vβ−1 + u − w), wt = Δw − ∇·(χw∇v) + w(1 − wγ−1 + v + u) in a smooth bounded domain Ω ⊂ Rn(n ≥ 2) with homogeneous Neumann boundary conditions. It is shown that for some conditions on the logistic degradation rates, this problem possesses a globally defined bounded classical solution.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"42 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80176500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Erratum: “The quantum ♮ α-Rényi divergence of real order” [J. Math. Phys. 63, 072203 (2022)] 勘误:“实序的量子α-散”[J]。数学。物理学报，63,072203 (2022)]
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-07-01 DOI: 10.1063/5.0152854
Y. Seo
{"title":"Erratum: “The quantum ♮\u0000 α-Rényi divergence of real order” [J. Math. Phys. 63, 072203 (2022)]","authors":"Y. Seo","doi":"10.1063/5.0152854","DOIUrl":"https://doi.org/10.1063/5.0152854","url":null,"abstract":"","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"192 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77480707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mountain pass solution for the self-dual Einstein–Maxwell–Higgs model on compact surfaces 紧致表面上自对偶爱因斯坦-麦克斯韦-希格斯模型的山口解
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-07-01 DOI: 10.1063/5.0151106
Juhee Sohn
{"title":"Mountain pass solution for the self-dual Einstein–Maxwell–Higgs model on compact surfaces","authors":"Juhee Sohn","doi":"10.1063/5.0151106","DOIUrl":"https://doi.org/10.1063/5.0151106","url":null,"abstract":"In this paper, we find two different solutions for the self-dual Maxwell–Higgs model coupled with gravitational fields by employing variational methods. One is a local minimizer and the other is the mountain pass solution.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"34 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81475878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Ultra-generalized Wannier bases: Are they relevant to topological transport? 超广义万尼尔基:它们与拓扑输运有关吗?
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-07-01 DOI: 10.1063/5.0137320
Massimo Moscolari, G. Panati
{"title":"Ultra-generalized Wannier bases: Are they relevant to topological transport?","authors":"Massimo Moscolari, G. Panati","doi":"10.1063/5.0137320","DOIUrl":"https://doi.org/10.1063/5.0137320","url":null,"abstract":"We generalize Prodan’s construction of radially localized generalized Wannier bases [E. Prodan, J. Math. Phys. 56(11), 113511 (2015)] to gapped quantum systems without time-reversal symmetry, including, in particular, magnetic Schrödinger operators, and we prove some basic properties of such bases. We investigate whether this notion might be relevant to topological transport by considering the explicitly solvable case of the Landau operator.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73076019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Machine learning-assisted multi-scale modeling 机器学习辅助的多尺度建模
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-07-01 DOI: 10.1063/5.0149861
W. E, H. Lei, Pinchen Xie, Linfeng Zhang
{"title":"Machine learning-assisted multi-scale modeling","authors":"W. E, H. Lei, Pinchen Xie, Linfeng Zhang","doi":"10.1063/5.0149861","DOIUrl":"https://doi.org/10.1063/5.0149861","url":null,"abstract":"Neural network-based machine learning is capable of approximating functions in very high dimension with unprecedented efficiency and accuracy. This has opened up many exciting new possibilities, one of which is to use machine learning algorithms to assist multi-scale modeling. In this review, we use three examples to illustrate the process involved in using machine learning in multi-scale modeling: ab initio molecular dynamics, ab initio meso-scale models, such as Landau models and generalized Langevin equation, and hydrodynamic models for non-Newtonian flows.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"73 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72944371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Global well-posedness and decay of the 2D incompressible MHD equations with horizontal magnetic diffusion 具有水平磁扩散的二维不可压缩MHD方程的全局适定性和衰减性
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-07-01 DOI: 10.1063/5.0155296
Hongxia Lin, Heng Zhang, Sen Liu, Qing Sun
{"title":"Global well-posedness and decay of the 2D incompressible MHD equations with horizontal magnetic diffusion","authors":"Hongxia Lin, Heng Zhang, Sen Liu, Qing Sun","doi":"10.1063/5.0155296","DOIUrl":"https://doi.org/10.1063/5.0155296","url":null,"abstract":"This paper concerns two-dimensional incompressible magnetohydrodynamic (MHD) equations with damping only in the vertical component of velocity equations and horizontal diffusion in magnetic equations. If the magnetic field is not taken into consideration the system is reduced to Euler-like equations with an extra Riesz transform-type term. The global well-posedness of Euler-like equations remains an open problem in the whole plane R2. When coupled with the magnetic field, the global well-posedness and the stability for the MHD system in R2 have yet to be settled too. This paper here focuses on the space domain T×R, with T being a 1D periodic box. We establish the global well-posedness of the 2D anisotropic MHD system. In addition, the algebraic decay rate in the H2-setting has also been obtained. We solve this by decomposing the physical quantity into the horizontal average and its corresponding oscillation portion, establishing strong Poincaré-type inequalities and some anisotropic inequalities and combining the symmetry conditions imposed on the initial data.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"86 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88111871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Limit stationary measures of the stochastic magnetohydrodynamic system in a 3D thin domain 三维薄域随机磁流体动力系统的极限平稳测度
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-07-01 DOI: 10.1063/5.0131817
Wenhu Zhong, Guanggan Chen, Yuanyuan Zhang
{"title":"Limit stationary measures of the stochastic magnetohydrodynamic system in a 3D thin domain","authors":"Wenhu Zhong, Guanggan Chen, Yuanyuan Zhang","doi":"10.1063/5.0131817","DOIUrl":"https://doi.org/10.1063/5.0131817","url":null,"abstract":"This work is concerned with a stochastic magnetohydrodynamic (MHD) system in a 3D thin domain. Although the individual solution may be chaotic in fluid dynamics, the stationary measure is essential to capture complex dynamical behaviors in the view of statistics. We first borrow the α-approximation model to derive the stationary measure of the 3D stochastic MHD system. Then, we further prove that the stationary measure of the system converges weakly to the counterpart of the corresponding 2D stochastic MHD system as the thickness of the thin domain tends to zero.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"16 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78332135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Time-frequency analysis of (k, a)-generalized wavelet transform and applications 广义小波变换(k, a)的时频分析及其应用
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-07-01 DOI: 10.1063/5.0152806
Pradeep Boggarapu, H. Mejjaoli, Shyam Swarup Mondal, P. Senapati
{"title":"Time-frequency analysis of (k, a)-generalized wavelet transform and applications","authors":"Pradeep Boggarapu, H. Mejjaoli, Shyam Swarup Mondal, P. Senapati","doi":"10.1063/5.0152806","DOIUrl":"https://doi.org/10.1063/5.0152806","url":null,"abstract":"The (k, a)-generalized wavelet transform is a novel addition to the class of wavelet transforms, which has gained a respectable status in the realm of time-frequency signal analysis within a short period of time. Since the study of time-frequency analysis is both theoretically interesting and practically useful, in this article, we investigated several subjects of time-frequency analysis for the (k, a)-generalized wavelet transform. First, we analyze the concentration of this transform on sets of finite measure. In particular, we prove Donoho–Stark and Benedicks-type uncertainty principles. We prove several versions of Heisenberg-type uncertainty principles for this transformation. Furthermore, involving the reproducing kernel and spectral theories, we investigate the time frequency and study the scalogram for the same wavelet transform. Finally, we provide Shapiro’s mean dispersion type theorems at the end.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"64 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86900455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Prolongation structure of supersymmetric nonlinear equation and its Bäcklund transformation 超对称非线性方程的延伸结构及其Bäcklund变换
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-06-01 DOI: 10.1063/5.0151842
Yangjie Jia, Sheng-Nan Wang, Ban Maduojie
{"title":"Prolongation structure of supersymmetric nonlinear equation and its Bäcklund transformation","authors":"Yangjie Jia, Sheng-Nan Wang, Ban Maduojie","doi":"10.1063/5.0151842","DOIUrl":"https://doi.org/10.1063/5.0151842","url":null,"abstract":"The Heisenberg supermagnet model is a supersymmetric system and has a close relationship with the strong electron-correlated Hubbard model. In this paper, the supersymmetric prolongation structure is used to analyze the high order supersymmetric nonlinear equation. The Lax representation is constructed for the prolongation algebra of this equation. The Bäcklund transformation of the supersymmetric nonlinear Schrödinger equation is obtained by simplified calculation.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"8 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73818322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Integrable decomposition for the (2+1)-dimensional AKNS hierarchy and its applications (2+1)维AKNS层次的可积分解及其应用
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-06-01 DOI: 10.1063/5.0133017
Xiaoming Zhu
{"title":"Integrable decomposition for the (2+1)-dimensional AKNS hierarchy and its applications","authors":"Xiaoming Zhu","doi":"10.1063/5.0133017","DOIUrl":"https://doi.org/10.1063/5.0133017","url":null,"abstract":"In this paper, we are concerned with the integrable decomposition for the (2+1)-dimensional Ablowitz–Kaup–Newell–Segur (AKNS) hierarchy. By utilizing recursive relations and symmetric reductions, we propose that the (n2 − n1 + 1)-flow of the (2+1)-dimensional AKNS hierarchy can be decomposed into the corresponding n1-flow and n2-flow of the (1+1)-dimensional AKNS hierarchy, both in the coupled and reduced cases. As an appropriate generalization, the integrable decompositions for the standard (2+1)-dimensional Heisenberg ferromagnet equation, the standard (2+1)-dimensional modified Heisenberg ferromagnet equation, and their two coupled generalizations are investigated. With no loss of generality, one-soliton solutions and their dynamic projections for the relevant gauge equivalent structures are discussed and illustrated through some figures.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"111 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80582839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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