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Journal of Mathematical Physics Analysis Geometry最新文献

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Pullback exponential attractors for second-order lattice system with nonstandard growth condition 非标准生长条件下二阶格系的回拉指数吸引子
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-05-01 DOI: 10.1063/5.0117249
Jiangwei Zhang, Zhiming Liu, Jianhua Huang
{"title":"Pullback exponential attractors for second-order lattice system with nonstandard growth condition","authors":"Jiangwei Zhang, Zhiming Liu, Jianhua Huang","doi":"10.1063/5.0117249","DOIUrl":"https://doi.org/10.1063/5.0117249","url":null,"abstract":"In this paper, we study the existence of pullback attractors and pullback exponential attractors for lattice dynamical system in time-dependent sequence space. First, we introduce a new sequence space with time-dependent variable exponents. Second, two abstract criteria (or sufficient conditions) about the existence of pullback attractors and pullback exponential attractors are established for infinite dimensional lattice dynamical systems on time-dependent spaces of infinite sequences. Finally, for making full use of the above-mentioned abstract criteria, we consider a second order lattice system with nonstandard growth nonlinearity, and then the existence of bi-space pullback attractors and pullback exponential attractors on a time-dependent Musielak–Orlicz space is obtained. In particular, we point out that these criteria and analytical skills can be utilized to deal with other lattice systems satisfying nonstandard growth conditions.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"44 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72533565","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
Effective dynamics for a class of stochastic weakly damped wave equation with a fast oscillation 一类具有快速振荡的随机弱阻尼波动方程的有效动力学
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-05-01 DOI: 10.1063/5.0137730
Jin-Wei Zhao, B. Ge, Lu Liu
{"title":"Effective dynamics for a class of stochastic weakly damped wave equation with a fast oscillation","authors":"Jin-Wei Zhao, B. Ge, Lu Liu","doi":"10.1063/5.0137730","DOIUrl":"https://doi.org/10.1063/5.0137730","url":null,"abstract":"The purpose of this paper is to consider the effective dynamic behavior of a class of stochastic weakly damped wave equations with a fast oscillation under the non-Lipschitz condition. We show that the slow component converges to the solution of the corresponding average equation. The result presented here extends the existing results from the Lipschitz to non-Lipschitz condition, which is a much weaker condition with a wider range of applications.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"58 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84564482","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
Explicit Nth order solutions of Fokas–Lenells equation based on revised Riemann–Hilbert approach 基于修正Riemann-Hilbert方法的Fokas-Lenells方程的显式n阶解
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-05-01 DOI: 10.1063/5.0148086
Yongshuai Zhang, Deqin Qiu, Jingsong He
{"title":"Explicit Nth order solutions of Fokas–Lenells equation based on revised Riemann–Hilbert approach","authors":"Yongshuai Zhang, Deqin Qiu, Jingsong He","doi":"10.1063/5.0148086","DOIUrl":"https://doi.org/10.1063/5.0148086","url":null,"abstract":"We develop a revised Riemann–Hilbert problem (RHP) to the Fokas–Lenells (FL) equation with a zero boundary condition, satisfying the normalization condition, and the potential of the FL equation is recovered from the asymptotic behavior of RHP when the spectral parameter goes to zero. Under the reflection-less situation, we consider the RHP with 2N simple poles and two Nth order poles, respectively, and obtain the explicit formulas of Nth order soliton and positon solutions. As applications, the first-order soliton, the second-order soliton, and positon are displayed. Additionally, the collisions of N solitons are studied, and the phase shift and space shift are displayed.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"11 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90056237","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: 4
A regularity criterion for the 3D generalized MHD system involving partial components 包含部分分量的三维广义MHD系统的正则性判据
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-05-01 DOI: 10.1063/5.0143742
Jinhuan Wang, W. Tan, Yongsheng Nie
{"title":"A regularity criterion for the 3D generalized MHD system involving partial components","authors":"Jinhuan Wang, W. Tan, Yongsheng Nie","doi":"10.1063/5.0143742","DOIUrl":"https://doi.org/10.1063/5.0143742","url":null,"abstract":"This paper is devoted to establishing the global regularity involving magnetic fields and partial components of the velocity for the 3D generalized magnetohydrodynamic equations with dissipation terms −(−Δ)αu and −(−Δ)βb. We assume 1≤α=β≤32 and prove that if b,u3∈Lw(0,T;Lq(R3)) with 2αw+3q≤3(2α−1)4+3(1−ϵ)4q, 3+ϵ2α−1<q≤∞, and 0<ϵ≤13, then the local strong solution is smooth on [0, T].","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"51 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90991847","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
A regularity criterion for the 3D axisymmetric Boussinesq equations with non-zero swirl 具有非零旋流的三维轴对称Boussinesq方程的正则性准则
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-05-01 DOI: 10.1063/5.0125404
Peng Wang, Zhengguang Guo
{"title":"A regularity criterion for the 3D axisymmetric Boussinesq equations with non-zero swirl","authors":"Peng Wang, Zhengguang Guo","doi":"10.1063/5.0125404","DOIUrl":"https://doi.org/10.1063/5.0125404","url":null,"abstract":"In this paper, we are devoted to establishing a new regularity criterion of weak solutions to incompressible axisymmetric Boussinesq equations. More precisely, we prove that for a small ϵ > 0, if the angular component of velocity field uθ(t, r, z) satisfies sup0<t<T‖zuθ‖L∞(Ωδ)≤ϵ, where Ωδ≔x1,x2,z∈R3|x12+x22<δ denotes a thin cylinder with infinite height and radius δ > 0, which is independent of the initial data, then the weak solution (u, ρ) to 3D Boussinesq equations is regular in (0, T].","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"30 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85551028","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
Spin-0 fields and the NP-constants close to spatial infinity in Minkowski spacetime 闵可夫斯基时空中接近空间无穷大的自旋0场和np常数
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-24 DOI: 10.1063/5.0158746
E. Gasperín, R. Pinto
{"title":"Spin-0 fields and the NP-constants close to spatial infinity in Minkowski spacetime","authors":"E. Gasperín, R. Pinto","doi":"10.1063/5.0158746","DOIUrl":"https://doi.org/10.1063/5.0158746","url":null,"abstract":"Newman–Penrose (NP) constants of massless spin-0 fields propagating in Minkowski spacetime are computed close to spatial and null infinity by means of Friedrich’s i0-cylinder. Assuming a certain regularity condition on the initial data ensuring that the field extends analytically to critical sets, it is shown that the NP constants at future I+ and past null infinity I− are independent of each other. In other words, the classical NP constants at I± stem from different parts of the initial data given on a Cauchy hypersurface. In contrast, it is shown that, using a slight generalization of the classical NP constants, the associated quantities (i0-cylinder NP constants) do not require the regularity condition being satisfied and give rise to conserved quantities at I± that are determined by the same piece of initial data, which, in turn, correspond to the terms controlling the regularity of the field. Additionally, it is shown how the conservation laws associated with the NP constants can be exploited to construct, in flat space, heuristic asymptotic-system expansions, which are sensitive to the logarithmic terms at the critical sets.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"31 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84995901","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
Complexity factor parameterization for traversable wormholes 可穿越虫洞的复杂性因子参数化
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-18 DOI: 10.1063/5.0148762
S. Bhattacharya, Subhasis Nalui
{"title":"Complexity factor parameterization for traversable wormholes","authors":"S. Bhattacharya, Subhasis Nalui","doi":"10.1063/5.0148762","DOIUrl":"https://doi.org/10.1063/5.0148762","url":null,"abstract":"It is known that static traversable wormholes in Einstein gravity are supported by matter that violates null energy conditions (NEC). Essentially, such wormholes will be characterized by a central throat with anisotropic matter lining the throat that violates NEC. This, in turn, provides viable geometry for the wormhole to sustain. In 2018, Herrera [Phys. Rev. D 97, 044010 (2018)] introduced a new classification for spherically symmetric bodies called “complexity factor.” It was proposed that a spherically symmetric non-trivial geometry can be classified as complex or non-complex based on the nature of the inhomogeneity and anisotropy of the stress–energy tensors with only homogeneous and isotropic matter distribution leading to null complexity. Mathematically, there was also another way of obtaining zero complexity geometry. In this context, since static traversable wormholes, by default, are characterized by anisotropic and inhomogeneous matter stress tensors, the question we answer is whether it is possible to obtain zero complexity class of wormholes supported by exotic matter.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"37 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77338675","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: 3
Flat bands of periodic graphs 周期图的平坦带
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-13 DOI: 10.1063/5.0156336
Mostafa Sabri, Pierre Youssef
{"title":"Flat bands of periodic graphs","authors":"Mostafa Sabri, Pierre Youssef","doi":"10.1063/5.0156336","DOIUrl":"https://doi.org/10.1063/5.0156336","url":null,"abstract":"We study flat bands of periodic graphs in a Euclidean space. These are infinitely degenerate eigenvalues of the corresponding adjacency matrix, with eigenvectors of compact support. We provide some optimal recipes to generate desired bands and some sufficient conditions for a graph to have flat bands, we characterize the set of flat bands whose eigenvectors occupy a single cell, and we compute the list of such bands for small cells. We next discuss the stability and rarity of flat bands in special cases. Additional folklore results are proved, and many questions are still open.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"9 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83643610","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: 5
Constructions of b-semitoric systems b-半系统的构造
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-02 DOI: 10.1063/5.0152551
Joaquim Brugu'es, Sonja Hohloch, Pau Mir, Eva Miranda
{"title":"Constructions of b-semitoric systems","authors":"Joaquim Brugu'es, Sonja Hohloch, Pau Mir, Eva Miranda","doi":"10.1063/5.0152551","DOIUrl":"https://doi.org/10.1063/5.0152551","url":null,"abstract":"In this article, we introduce b-semitoric systems as a generalization of semitoric systems, specifically tailored for b-symplectic manifolds. The objective of this article is to furnish a collection of examples and investigate the distinctive characteristics of these systems. A b-semitoric system is a four-dimensional b-integrable system that satisfies certain conditions: one of its momentum map components is proper and generates an effective global S1-action and all singular points are non-degenerate and devoid of hyperbolic components. To illustrate this concept, we provide five examples of b-semitoric systems by modifying the coupled spin oscillator and the coupled angular momenta, and we also classify their singular points. Additionally, we describe the dynamics of these systems through the image of their respective momentum maps.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"11 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75096328","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
Algebraic approach to annihilation and repulsion of bound states in the continuum in finite systems 有限系统连续统中束缚态的湮灭和排斥的代数方法
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI: 10.1063/5.0142892
N. Shubin
{"title":"Algebraic approach to annihilation and repulsion of bound states in the continuum in finite systems","authors":"N. Shubin","doi":"10.1063/5.0142892","DOIUrl":"https://doi.org/10.1063/5.0142892","url":null,"abstract":"We present an algebraic approach to the description of bound states in the continuum (BICs) in finite systems with a discrete energy spectrum coupled to several decay channels. General estimations and bounds on the number of linearly independent BICs are derived. We show that the algebraic point of view provides straightforward and illustrative interpretations of typical well-known results, including the Friedrich–Wintgen mechanism and the Pavlov-Verevkin model. Pair-wise annihilation and repulsion of BICs in the energy–parameter space are discussed within generic two- and three-level models. An illustrative algebraic interpretation of such phenomena in Hilbert space is presented.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"37 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82713162","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: 3
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