发布求助
文献互助 智能选刊 最新文献

Applied Mathematics Letters最新文献

筛选
英文 中文
Tipping time in a stochastic phosphorus dynamics model 随机磷动力学模型的倾倒时间
IF 3.7 2区 数学
Applied Mathematics Letters Pub Date : 2025-10-03 DOI: 10.1016/j.aml.2025.109779
Anji Yang, Tingting Yu, Tonghua Zhang
{"title":"Tipping time in a stochastic phosphorus dynamics model","authors":"Anji Yang, Tingting Yu, Tonghua Zhang","doi":"10.1016/j.aml.2025.109779","DOIUrl":"https://doi.org/10.1016/j.aml.2025.109779","url":null,"abstract":"Abrupt transitions between oligotrophic and eutrophic states have been observed in shallow lakes, yet the mechanisms underlying these transitions remain poorly understood. To investigate the evolution of a lake from an oligotrophic state to a eutrophic state and to determine the tipping time associated with this transition, we propose a probabilistic framework that characterizes the maximum likelihood transition path between the two states. We derive analytical expressions and numerical methods to calculate the maximum likelihood trajectories. Subsequently, we utilize the maximal likelihood trajectory to ascertain tipping times for the most probable transitions from oligotrophic to eutrophic states. Our findings indicate that increasing environmental stochasticity is associated with reduced tipping times, thereby promoting the eutrophication of lakes. Furthermore, tipping time serves as an effective metric for assessing the stability of the oligotrophic state; we posit that a shorter tipping time correlates with greater instability within the oligotrophic state.","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"8 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145229518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
The stability of Runge–Kutta spectral volume methods for 1-D linear hyperbolic equations with constant coefficients 一维常系数线性双曲型方程龙格-库塔谱体积法的稳定性
IF 2.8 2区 数学
Applied Mathematics Letters Pub Date : 2025-09-30 DOI: 10.1016/j.aml.2025.109776
Di Lei, Huiyan Li, Jing Niu
{"title":"The stability of Runge–Kutta spectral volume methods for 1-D linear hyperbolic equations with constant coefficients","authors":"Di Lei,&nbsp;Huiyan Li,&nbsp;Jing Niu","doi":"10.1016/j.aml.2025.109776","DOIUrl":"10.1016/j.aml.2025.109776","url":null,"abstract":"<div><div>This paper focuses on proving the stability of the Runge–Kutta spectral volume (RKSV) scheme for solving one-dimensional equations, with a specific analysis of the Radau spectral volume (RRSV) and Gauss–Legendre spectral volume (LSV) schemes. By comparing the similarities and discrepancies between the Runge–Kutta spectral volume (RKSV) and Runge–Kutta discontinuous Galerkin (RKDG) schemes, we transform the stability analysis of the RKSV scheme into that of the RKDG scheme-an approach that already possesses a well-established theoretical analysis basis. Our key findings reveal two critical results: first, the Runge–Kutta Radau spectral volume (RKRRSV) scheme is entirely equivalent to the RKDG scheme; second, under the framework of a newly defined norm, the Runge–Kutta Gauss–Legendre spectral volume (RKLSV) scheme yields stability results identical to those of the RKDG scheme. Furthermore, numerical experiments are conducted to validate both the stability and optimal convergence properties of the RKSV scheme, providing empirical support for its theoretical conclusions.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"173 ","pages":"Article 109776"},"PeriodicalIF":2.8,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Compact Darboux transformation and multi-pole magnetic waves within a higher-order Heisenberg ferromagnetic model 高阶海森堡铁磁模型中的紧致达布变换和多极电磁波
IF 2.8 2区 数学
Applied Mathematics Letters Pub Date : 2025-09-30 DOI: 10.1016/j.aml.2025.109777
Xi-Hu Wu , Run-Fa Zhang
{"title":"Compact Darboux transformation and multi-pole magnetic waves within a higher-order Heisenberg ferromagnetic model","authors":"Xi-Hu Wu ,&nbsp;Run-Fa Zhang","doi":"10.1016/j.aml.2025.109777","DOIUrl":"10.1016/j.aml.2025.109777","url":null,"abstract":"<div><div>Spin waves, as charge-free collective excitations of electron spins, are fundamental to the development of energy-efficient spintronic devices and wave-based computing. This Letter investigates a higher-order Heisenberg ferromagnetic model characterizing the dynamics of the magnetic vector in isotropic ferromagnetism. We construct a direct <span><math><mi>N</mi></math></span>-fold Darboux transformation (DT) and a generalized <span><math><mi>N</mi></math></span>-fold DT in the compact determinant forms, which enhance the efficiency of obtaining rogue wave, multiple, multi-pole and mixed solutions for the nonlinear systems within the Heisenberg ferromagnetic hierarchy. Those results also help provide a mathematical framework for exploring complex spin wave interactions in ferromagnetic materials.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"173 ","pages":"Article 109777"},"PeriodicalIF":2.8,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Multiple normalized solutions for non-autonomous Kirchhoff equations with mass-subcritical nonlinearity in R3 具有质量亚临界非线性的非自治Kirchhoff方程的多重归一化解
IF 2.8 2区 数学
Applied Mathematics Letters Pub Date : 2025-09-30 DOI: 10.1016/j.aml.2025.109778
Rui Wang , Juntao Sun , Sofiane Khoutir , Han-Su Zhang
{"title":"Multiple normalized solutions for non-autonomous Kirchhoff equations with mass-subcritical nonlinearity in R3","authors":"Rui Wang ,&nbsp;Juntao Sun ,&nbsp;Sofiane Khoutir ,&nbsp;Han-Su Zhang","doi":"10.1016/j.aml.2025.109778","DOIUrl":"10.1016/j.aml.2025.109778","url":null,"abstract":"<div><div>In this paper, we are concerned with the multiplicity of normalized solutions for a class of Kirchhoff equations with the nonlinearity <span><math><mrow><mi>h</mi><mrow><mo>(</mo><mi>ɛ</mi><mi>x</mi><mo>)</mo></mrow><msup><mrow><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow></mrow><mrow><mi>p</mi><mo>−</mo><mn>2</mn></mrow></msup><mi>u</mi></mrow></math></span> in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span>, where <span><math><mrow><mi>ɛ</mi><mo>&gt;</mo><mn>0</mn></mrow></math></span> and <span><math><mrow><mn>4</mn><mo>≤</mo><mi>p</mi><mo>&lt;</mo><mn>14</mn><mo>/</mo><mn>3</mn></mrow></math></span>. We explore the relationship between the number of solutions and the shape of the weight function <span><math><mi>h</mi></math></span>.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"173 ","pages":"Article 109778"},"PeriodicalIF":2.8,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Asynchronous exponential growth for a size-structured population model of Daphnia with delayed birth process 具有延迟生育过程的水蚤大小结构种群模型的非同步指数增长
IF 2.8 2区 数学
Applied Mathematics Letters Pub Date : 2025-09-29 DOI: 10.1016/j.aml.2025.109772
Dongxue Yan , Xinyu Bai , Yu Cao
{"title":"Asynchronous exponential growth for a size-structured population model of Daphnia with delayed birth process","authors":"Dongxue Yan ,&nbsp;Xinyu Bai ,&nbsp;Yu Cao","doi":"10.1016/j.aml.2025.109772","DOIUrl":"10.1016/j.aml.2025.109772","url":null,"abstract":"<div><div>Using semigroup theories and spectral analysis methods, this paper shows that the solutions of a Daphnia population model with size structure and delayed birth process exhibit asynchronous exponential growth under some conditions.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"173 ","pages":"Article 109772"},"PeriodicalIF":2.8,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Blowup of solutions for compressible viscoelastic fluid 可压缩粘弹性流体解的爆破
IF 2.8 2区 数学
Applied Mathematics Letters Pub Date : 2025-09-29 DOI: 10.1016/j.aml.2025.109774
Na Wang , Sébastien Boyaval , Yuxi Hu
{"title":"Blowup of solutions for compressible viscoelastic fluid","authors":"Na Wang ,&nbsp;Sébastien Boyaval ,&nbsp;Yuxi Hu","doi":"10.1016/j.aml.2025.109774","DOIUrl":"10.1016/j.aml.2025.109774","url":null,"abstract":"<div><div>We prove finite-time blowup of classical solutions for the compressible Upper Convective Maxwell (UCM) viscoelastic fluid system. By establishing a key energy identity and adapting Sideris’ method for compressible flows, we derive a Riccati-type inequality for a momentum functional. For initial data with compactly supported perturbations satisfying a sufficiently large condition, all classical solutions lose regularity in finite time. This constitutes the first rigorous blowup result for multidimensional compressible viscoelastic fluids.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"173 ","pages":"Article 109774"},"PeriodicalIF":2.8,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Legendre-based model order reduction method for solving convection–diffusion equations with variable coefficients 求解变系数对流扩散方程的legende模型降阶方法
IF 2.8 2区 数学
Applied Mathematics Letters Pub Date : 2025-09-28 DOI: 10.1016/j.aml.2025.109773
Zhiyuan Xing , Yanpeng Li , Xiufang Feng , Yaolin Jiang
{"title":"Legendre-based model order reduction method for solving convection–diffusion equations with variable coefficients","authors":"Zhiyuan Xing ,&nbsp;Yanpeng Li ,&nbsp;Xiufang Feng ,&nbsp;Yaolin Jiang","doi":"10.1016/j.aml.2025.109773","DOIUrl":"10.1016/j.aml.2025.109773","url":null,"abstract":"<div><div>A model order reduction method based on shifted Legendre polynomials for solving convection–diffusion equations with variable coefficients is presented in this paper. The ordinary differential system of the convection–diffusion equation is obtained by finite element discretization procedure. Then, approximating the system state via shifted Legendre polynomials, the reduced-order system is produced, which can be solved efficiently to obtain the numerical solution. Error analysis is presented, and numerical examples are used to verify the feasibility of the presented method.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"173 ","pages":"Article 109773"},"PeriodicalIF":2.8,"publicationDate":"2025-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Dynamics analysis of a stochastic regime-switching transmission model with governmental policy 具有政府政策的随机状态切换传输模型的动力学分析
IF 2.8 2区 数学
Applied Mathematics Letters Pub Date : 2025-09-27 DOI: 10.1016/j.aml.2025.109771
Hongjie Fan , Kai Wang , Yanling Zhu
{"title":"Dynamics analysis of a stochastic regime-switching transmission model with governmental policy","authors":"Hongjie Fan ,&nbsp;Kai Wang ,&nbsp;Yanling Zhu","doi":"10.1016/j.aml.2025.109771","DOIUrl":"10.1016/j.aml.2025.109771","url":null,"abstract":"<div><div>In this paper, we propose and investigate a stochastic SEQIR epidemic model with Markovian regime-switching. Governmental policies and their implementation efficiency are incorporated by a generalized incidence function of the susceptible class. Using the Lyapunov method, we illustrate the existence and uniqueness of the globally positive solution to the stochastic model. Furthermore, we also analyze the dynamical behaviors of the disease, and derive sufficient conditions for its extinction and persistence in mean. Finally, numerical simulations are presented to verify the theoretical findings.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"173 ","pages":"Article 109771"},"PeriodicalIF":2.8,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Inconsistent tensor-tensor product for low-rank tensor factorization 低秩张量分解的不一致张量-张量积
IF 2.8 2区 数学
Applied Mathematics Letters Pub Date : 2025-09-25 DOI: 10.1016/j.aml.2025.109770
Sheng Liu, Xi-Le Zhao, Qin Jiang
{"title":"Inconsistent tensor-tensor product for low-rank tensor factorization","authors":"Sheng Liu,&nbsp;Xi-Le Zhao,&nbsp;Qin Jiang","doi":"10.1016/j.aml.2025.109770","DOIUrl":"10.1016/j.aml.2025.109770","url":null,"abstract":"<div><div>The tensor-tensor product (t-product) is a fundamental operation in tensor decomposition, enabling effective modeling of interactions between third-order tensors. However, the classical t-product is restricted by the fact that the two factors must have the same third-mode dimension, limiting its flexibility and expressiveness. To break this restriction, we introduce an inconsistent tensor-tensor product (it-product), which allows tensors with inconsistent third-mode dimensions to interact with each other while still respecting the algebraic structure of classical t-product. Equipped with the proposed it-product, we develop an it-product-based low-rank tensor factorization and suggest a unified model for tensor completion and tensor compression. To address the resulting nonconvex optimization problem, we build a proximal alternating minimization (PAM)-based algorithm. We further provide a theoretical convergence analysis, showing that the sequence generated by the algorithm converges to a critical point of the objective function under certain conditions. Numerical experiments on real-world datasets have been conducted to validate the effectiveness and superiority of the proposed method over existing baselines.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"173 ","pages":"Article 109770"},"PeriodicalIF":2.8,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145158602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Wronskian solutions for the (3+1)-dimensional Wazwaz–Kaur–Boussinesq equation （3+1）维wazwazi - kaur - boussinesq方程的朗斯基解
IF 2.8 2区 数学
Applied Mathematics Letters Pub Date : 2025-09-23 DOI: 10.1016/j.aml.2025.109769
Tao Xu, Yaonan Shan
{"title":"Wronskian solutions for the (3+1)-dimensional Wazwaz–Kaur–Boussinesq equation","authors":"Tao Xu,&nbsp;Yaonan Shan","doi":"10.1016/j.aml.2025.109769","DOIUrl":"10.1016/j.aml.2025.109769","url":null,"abstract":"<div><div>The (<span><math><mrow><mn>3</mn><mo>+</mo><mn>1</mn></mrow></math></span>)-dimensional Wazwaz–Kaur–Boussinesq equation, which always describe shallow water wave interactions, is researched by the Wronskian technique. To guarantee the Wronskian determinant solves the objective equation in Hirota bilinear form, we construct some sufficient conditions consisting of linear differential equations. Based on the received Wronskian conditions, the general Wronskian solutions can be successfully derived. Choosing the matrix in the Wronskian conditions as diagonal or Jordan forms, three kinds of exact solutions including <span><math><mi>N</mi></math></span>-bright, <span><math><mi>N</mi></math></span>-dark solitons and rational solutions are skillfully reduced from the resulted general solutions.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"173 ","pages":"Article 109769"},"PeriodicalIF":2.8,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145158741","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信