Applied Mathematics Letters最新文献

{"title":"Multiple solutions for a logarithmic Schrödinger equation on a locally finite graph","authors":"Lei Ma,An Xia,Chen Huang","doi":"10.1016/j.aml.2026.110127","DOIUrl":"https://doi.org/10.1016/j.aml.2026.110127","url":null,"abstract":"","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"11 1","pages":"110127"},"PeriodicalIF":3.7,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894665","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}

{"title":"Hybrid physics-informed and boundary integrated neural networks for three-dimensional acoustic problems","authors":"Ruoxia Wang, Yanbo Zhao, Bin Chen, Wenzhen Qu","doi":"10.1016/j.aml.2026.110125","DOIUrl":"https://doi.org/10.1016/j.aml.2026.110125","url":null,"abstract":"This paper presents a hybrid physics-informed and boundary integrated neural networks (PI-BINNs) framework for the numerical simulation of three-dimensional acoustic problems. The proposed approach combines the complementary strengths of physics-informed neural networks (PINNs) and boundary integrated neural networks (BINNs) through a solution decomposition strategy. Specifically, PINNs are employed to approximate the particular solution associated with the source term, whereas BINNs are utilized to reconstruct the remaining homogeneous solution from boundary information. The proposed decomposition technique completely removes the domain integrals from the boundary integral equation and transforms the original inhomogeneous problem into a homogeneous one. By eliminating the need for domain discretization in the homogeneous solution reconstruction, the proposed framework preserves the truly boundary-type character of BINNs and provides an efficient and flexible alternative for solving complex three-dimensional acoustic problems. Numerical results demonstrate that the proposed method is accurate, efficient, and robust for both bounded and unbounded three-dimensional acoustic problems.","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"43 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148883786","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}

{"title":"Properties of the generalized principal eigenvalue for a nonlocal dispersal operator in one dimension","authors":"Mingxin Wang, Yiru Wang","doi":"10.1016/j.aml.2026.110124","DOIUrl":"https://doi.org/10.1016/j.aml.2026.110124","url":null,"abstract":"We investigate the generalised principal eigenvalue <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>λ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi>l</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> of the one-dimensional nonlocal dispersal operator <mml:math altimg=\"si2.svg\" display=\"inline\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"script\">L</mml:mi></mml:mrow><mml:mrow><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mi>a</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mml:mo><mml:mi>d</mml:mi><mml:msubsup><mml:mrow><mml:mo>∫</mml:mo></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mi>l</mml:mi></mml:mrow></mml:msubsup><mml:mi>J</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>−</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mspace width=\"0.16667em\"></mml:mspace><mml:mi mathvariant=\"normal\">d</mml:mi><mml:mi>y</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">−</mml:mo><mml:mi>d</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mi>a</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>. Under standard kernel assumptions, we establish monotonicity and continuity of <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>λ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi>l</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> with respect to the potential <mml:math altimg=\"si4.svg\" display=\"inline\"><mml:mi>a</mml:mi></mml:math> and interval length <mml:math altimg=\"si5.svg\" display=\"inline\"><mml:mi>l</mml:mi></mml:math>. While <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>λ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi>l</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> generally lacks strict monotonicity in <mml:math altimg=\"si4.svg\" display=\"inline\"><mml:mi>a</mml:mi></mml:math> and <mml:math altimg=\"si5.svg\" display=\"inline\"><mml:mi>l</mml:mi></mml:math>, it becomes strictly increasing in <mml:math altimg=\"si5.svg\" display=\"inline\"><mml:mi>l</mml:mi></mml:math> when <mml:math altimg=\"si4.svg\" display=\"inline\"><mml:mi>a</mml:mi></mml:math> is non-decreasing. We derive the limiting behaviour of <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>λ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msubsup><mml:mrow><mml:","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"32 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148883788","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}

{"title":"A simplified multiple-relaxation method for conservative systems","authors":"Ting Fu,Kai Liu","doi":"10.1016/j.aml.2026.110126","DOIUrl":"https://doi.org/10.1016/j.aml.2026.110126","url":null,"abstract":"","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"28 1","pages":"110126"},"PeriodicalIF":3.7,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894664","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}

{"title":"Estimation of lower bounds for spreading speeds of noncooperative integrodifference systems based on entire solutions","authors":"Shuxia Pan, Yibo Guo, Guo Lin","doi":"10.1016/j.aml.2026.110122","DOIUrl":"https://doi.org/10.1016/j.aml.2026.110122","url":null,"abstract":"This article is concerned with the lower bounds for the spreading speeds of several noncooperative integrodifference systems. In a predator–prey system, the prey is assumed to be the resident population and the predator the invader. In a competitive system, one species is the resident and the other the invader. For an epidemic model, we analyze the spatial spreading capacity of the virus. Using entire solutions and constructing auxiliary monotone systems, we establish lower bounds on the slowest invasion speeds of these models.","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"16 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148883791","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}

{"title":"Exponential mixing for stochastic non-autonomous Boussinesq systems with degenerate noise and quasi-periodic forcing","authors":"Zhiming Liu, Jianhua Huang","doi":"10.1016/j.aml.2026.110123","DOIUrl":"https://doi.org/10.1016/j.aml.2026.110123","url":null,"abstract":"This paper investigates the long-time statistical behavior of a two-dimensional stochastic non-autonomous Boussinesq system on the torus, subject to quasi-periodic deterministic forcing and degenerate stochastic white noise acting exclusively on the temperature equation. Under standard regularity hypotheses on the quasi-periodic driving term and a generalized infinite-dimensional Hörmander condition on the degenerate noise, we establish global pathwise well-posedness of probabilistic solutions, and verify uniformly with respect to the initial time and the time symbol a Lyapunov structure, an asymptotic strong Feller-type gradient estimate, and a weak irreducibility property. Combining these ingredients via a non-autonomous Harris theorem, we obtain exponential contraction of the two-parameter transition family in a weighted Wasserstein distance and the existence and uniqueness of a quasi-periodic invariant measure. Our framework unifies the ergodic and mixing analysis for non-autonomous stochastic fluid PDEs with degenerate forcing, while relying on substantially weaker technical assumptions compared to previous works.","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"491 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148883790","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}

{"title":"Lump solutions and their dynamics of a (3+1)-dimensional higher-order Kadomtsev–Petviashvili equation","authors":"Zejun Liu,&nbsp;Minxin Jia,&nbsp;Yihao Li","doi":"10.1016/j.aml.2026.109880","DOIUrl":"10.1016/j.aml.2026.109880","url":null,"abstract":"<div><div>This paper investigates a (3+1)-dimensional higher-order Kadomtsev–Petviashvili (hKP) equation within the Hirota bilinear framework. Motivated by recent experimental observations of lump solitons in nonlinear optics, this study constructs exact lump solutions and hybrid patterns characterizing the nonlinear interaction between a localized lump and a sine-periodic wave for the (3+1)-dimensional hKP equation. Through rigorous dynamical analysis and visualization, the propagation properties of these localized waves are characterized. The results provide insights into the stability and complexity of high-dimensional nonlinear wave systems.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"177 ","pages":"Article 109880"},"PeriodicalIF":2.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072045","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}

{"title":"Scaled-coordinate BEM for 3D elasticity problems with efficient domain integral treatment","authors":"Wenbin Sun ,&nbsp;Haodong Ma ,&nbsp;Yan Gu ,&nbsp;Bo Yu","doi":"10.1016/j.aml.2026.109875","DOIUrl":"10.1016/j.aml.2026.109875","url":null,"abstract":"<div><div>The boundary element method (BEM) has long been recognized as an efficient numerical technique for the analysis of three-dimensional (3D) elasticity problems due to its intrinsic advantage of dimensionality reduction. However, for inhomogeneous materials or elasticity formulations involving body forces, domain integrals arise, compromising the boundary-only nature of the method. This work proposes a novel scaled-coordinate transformation BEM (SCT-BEM) for 3D elasticity, which inherits the SCT framework recently developed for potential and heat transfer problems. The proposed SCT-BEM transforms the elasticity domain integrals into low-dimensional boundary integrals without invoking particular solutions or volume discretization. Further, a unified treatment is provided for weakly- and strongly-integrals using an SCT-based coordinate translation. Numerical examples demonstrate that the proposed framework significantly improves the applicability of BEM to complex elasticity problems while preserving its fundamental advantages.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"177 ","pages":"Article 109875"},"PeriodicalIF":2.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146014828","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}

{"title":"Existence and uniqueness of stratified Antarctic flows","authors":"Jifeng Chu ,&nbsp;Kateryna Marynets ,&nbsp;Zihao Wang","doi":"10.1016/j.aml.2026.109883","DOIUrl":"10.1016/j.aml.2026.109883","url":null,"abstract":"<div><div>We analyse a second-order boundary value problem arising from the motion of stratified ocean flows in Antarctica. Using a Lyapunov-type function and the monotonicity properties of the density function and of the oceanic vorticity, we prove results on the existence and uniqueness of solutions of the problem under consideration. Finally, we discuss possible extensions of the model that admit unique solutions for more general cases of density distribution.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"177 ","pages":"Article 109883"},"PeriodicalIF":2.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072040","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}

{"title":"New wave breaking in the unidirectional non-local wave model","authors":"Runjie Han,&nbsp;Shaojie Yang","doi":"10.1016/j.aml.2026.109884","DOIUrl":"10.1016/j.aml.2026.109884","url":null,"abstract":"<div><div>In this paper, we investigate wave breaking in the unidirectional non-local wave model describing the motion of a collision-free plasma in a magnetic field. By analyzing the blow-up behavior of a Riccati-type inequality involving a linear function of time <span><math><mi>t</mi></math></span>, a new wave breaking criterion is presented. Our result shows that wave breaking can occur even with small slope of the initial data.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"177 ","pages":"Article 109884"},"PeriodicalIF":2.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146110515","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}