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Acta Applicandae Mathematicae最新文献

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Controllability Results for Impulsive Atangana-Baleanu Fractional Stochastic Differential Systems with Second-Order Hermite Process 二阶Hermite过程脉冲Atangana-Baleanu分数阶随机微分系统的可控性结果
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2026-02-10 DOI: 10.1007/s10440-026-00773-x
Rajesh Dhayal, J. F. Gómez-Aguilar, Eduardo Pérez-Careta
{"title":"Controllability Results for Impulsive Atangana-Baleanu Fractional Stochastic Differential Systems with Second-Order Hermite Process","authors":"Rajesh Dhayal,&nbsp;J. F. Gómez-Aguilar,&nbsp;Eduardo Pérez-Careta","doi":"10.1007/s10440-026-00773-x","DOIUrl":"10.1007/s10440-026-00773-x","url":null,"abstract":"<div><p>This paper develops a new class of impulsive Atangana-Baleanu fractional stochastic differential systems with the Rosenblatt process, which is a Hermite process of order two with long-range dependence and stationary increments properties. Firstly, we established the existence of solutions to the considered problem by using the fixed point technique, resolvent family, and fractional calculus. Then, we discussed the controllability results for the proposed system. Finally, an illustrative example is given to demonstrate the obtained results.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147338239","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
Error Analysis of a Frictional Piezoelectric Contact Problem 压电摩擦接触问题的误差分析
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2026-02-03 DOI: 10.1007/s10440-026-00774-w
H. El Khalfi, Z. Faiz, A. Oultou, H. Benaissa
{"title":"Error Analysis of a Frictional Piezoelectric Contact Problem","authors":"H. El Khalfi,&nbsp;Z. Faiz,&nbsp;A. Oultou,&nbsp;H. Benaissa","doi":"10.1007/s10440-026-00774-w","DOIUrl":"10.1007/s10440-026-00774-w","url":null,"abstract":"<div><p>In this work, a particular class of penalized Signorini’s models with a normal compliance contact condition is studied. These contact models are created by taking two parameters: a power parameter <span>(alpha geq 1)</span> and a punishment parameter <span>(varepsilon )</span>. A standard penalization is represented by a value of <span>(alpha =1)</span>. These contact models function as nonlinear approximations for Signorini’s problem. Choosing a continuous, conforming linear finite element approximation is the first step in our method. We then calculate <span>(L^{2})</span>-error estimates with suitable assumptions, which are carefully examined and explained.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147336503","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
Global Existence and Temporal Decay for the 3D Magneto-Viscoelastic Fluids 三维磁粘弹性流体的全局存在性和时间衰减
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2026-02-02 DOI: 10.1007/s10440-026-00772-y
Chengling Li, Qiao Liu
{"title":"Global Existence and Temporal Decay for the 3D Magneto-Viscoelastic Fluids","authors":"Chengling Li,&nbsp;Qiao Liu","doi":"10.1007/s10440-026-00772-y","DOIUrl":"10.1007/s10440-026-00772-y","url":null,"abstract":"<div><p>This paper concerns the Cauchy problem of the 3D magneto-viscoelastic fluids. Using the pure energy method, we prove the global well-posedness of the classical solutions with smooth initial data of small <span>(L^{2})</span> energy. Furthermore, under some additional assumptions on the initial data, we obtain the algebraic temporal decay rates of the higher-order spatial derivatives of solutions.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147336208","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
Vanishing Dissipation Limit for the 2D Anisotropic Micropolar Fluid Equations in the Half-Plane 半平面上二维各向异性微极流体方程的消失耗散极限
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2026-02-02 DOI: 10.1007/s10440-025-00763-5
Xiaoxue Kai, Qian Li, Xiaojing Xu
{"title":"Vanishing Dissipation Limit for the 2D Anisotropic Micropolar Fluid Equations in the Half-Plane","authors":"Xiaoxue Kai,&nbsp;Qian Li,&nbsp;Xiaojing Xu","doi":"10.1007/s10440-025-00763-5","DOIUrl":"10.1007/s10440-025-00763-5","url":null,"abstract":"<div><p>In this paper, we study the convergence of the solutions to the Dirichlet problem of the incompressible micropolar fluid equations with full anisotropic dissipation toward the solution to the ideal micropolar fluid equations in the upper half-plane. By choosing suitable correctors, we find that if the vertical dissipation of horizontal fluid velocity, the vertical angular viscosity and the micro-rotation viscosity vanish more quickly than the others, the vanishing dissipation limit exists in <span>(L^{infty }([0,T];L^{2}(mathbb{R}^{2}_{+})))</span>. In addition, we deal with the difficulty caused by the micro-rotation viscosity. Further, we obtain the convergence rate.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147335851","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 Nonconservative Kinetic Framework for a Closed-Market Society Subject to Shock Events 受冲击事件影响的封闭市场社会的非保守动力学框架
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2026-01-30 DOI: 10.1007/s10440-026-00771-z
Marco Menale, Ana Jacinta Soares, Romina Travaglini
{"title":"A Nonconservative Kinetic Framework for a Closed-Market Society Subject to Shock Events","authors":"Marco Menale,&nbsp;Ana Jacinta Soares,&nbsp;Romina Travaglini","doi":"10.1007/s10440-026-00771-z","DOIUrl":"10.1007/s10440-026-00771-z","url":null,"abstract":"<div><p>Recently, several events have shockingly impacted society, carrying tough consequences. However, not all individuals are similarly affected by shock events. Among other factors, the consequences can vary depending on the income class. In our presented work, the approach typical of kinetic theory is used to analyze the dynamics of a closed-market society exposed to various types of shock events. To achieve this, we introduce non-conservative equations, incorporating proliferative and destructive binary interactions as well as external actions. Specifically, the latter term reproduces the shock events, and to accomplish this, we introduce an appropriate external force field into the kinetic framework, modeled using Gaussian functions. Several numerical simulations are presented to illustrate the behavior of the solution predicted by the model and an application in comparison to real data relative to the Hurricane Katrina catastrophe is carried out.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10440-026-00771-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global Dynamics of a Reaction-Diffusion Epidemic Model in a Spatially Heterogeneous Environment 空间异质环境下反应-扩散流行病模型的全局动力学
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2026-01-19 DOI: 10.1007/s10440-026-00769-7
Youhui Su, Jing Zhang, Weimin Hu, Qian Wen
{"title":"Global Dynamics of a Reaction-Diffusion Epidemic Model in a Spatially Heterogeneous Environment","authors":"Youhui Su,&nbsp;Jing Zhang,&nbsp;Weimin Hu,&nbsp;Qian Wen","doi":"10.1007/s10440-026-00769-7","DOIUrl":"10.1007/s10440-026-00769-7","url":null,"abstract":"<div><p>This paper proposes a reaction-diffusion epidemic model incorporating media coverage and vaccination strategies, and analyzes the transmission dynamics of diseases in spatially heterogeneous environments. The model innovatively considers the impact of environmental pollution on disease transmission and introduces nonlinear incidence rate functions to more accurately describe the disease transmission process. The study establishes the well-posedness of the model solution and calculates the basic reproduction number <span>(mathcal{R}_{0})</span> using the next generation infection operator. We derive the corresponding threshold results and prove that the disease-free equilibrium is globally asymptotically stable when <span>(mathcal{R}_{0}&lt;1)</span>, while the disease persists when <span>(mathcal{R}_{0}&gt;1)</span>. In particular, for the spatially homogeneous case, we establish the existence and uniqueness of an endemic equilibrium when <span>(mathcal{R}_{0}&gt;1)</span>. Finally, numerical simulations validate the theoretical results and intuitively demonstrate the inhibitory effect of media coverage on disease transmission.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026925","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
Control Volume Finite Elements Scheme for a Nonlinear Cardiac Electrophysiology Model 非线性心脏电生理模型的控制体积有限元方案
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2026-01-19 DOI: 10.1007/s10440-026-00767-9
Hicham El Moutaouakil, Mohamed Rhoudaf
{"title":"Control Volume Finite Elements Scheme for a Nonlinear Cardiac Electrophysiology Model","authors":"Hicham El Moutaouakil,&nbsp;Mohamed Rhoudaf","doi":"10.1007/s10440-026-00767-9","DOIUrl":"10.1007/s10440-026-00767-9","url":null,"abstract":"<div><p>A numerical framework is developed for the analysis of a parameterized bidomain model in cardiac electrophysiology. Convergence to a weak solution is established through the derivation of appropriate a priori bounds, thereby proving the existence of a bounded weak solution to the problem. Numerical experiments validate the accuracy and robustness of the method, showcasing its effectiveness in accurately capturing the dynamics of electrical wave propagation in cardiac tissue.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026924","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
Global Existence and Decay Estimates of the Three Dimensional Magneto-Hydrodynamic Equations with Partial Dissipation 具有部分耗散的三维磁流体动力学方程的整体存在性和衰减估计
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2026-01-19 DOI: 10.1007/s10440-026-00770-0
Fangfang Jian, Dongxiang Chen, Xiaoli Chen
{"title":"Global Existence and Decay Estimates of the Three Dimensional Magneto-Hydrodynamic Equations with Partial Dissipation","authors":"Fangfang Jian,&nbsp;Dongxiang Chen,&nbsp;Xiaoli Chen","doi":"10.1007/s10440-026-00770-0","DOIUrl":"10.1007/s10440-026-00770-0","url":null,"abstract":"<div><p>To uncover the mechanism by which magnetic fields can stabilize electrically conducting turbulent fluids, we investigate the stability of a special three-dimensional anisotropic magnetohydrodynamic (MHD) system. This system features dissipation only in the direction of <span>(x_{1})</span> and magnetic damping near a background magnetic field. Due to the absence of dissipation in the <span>(x_{2})</span> and <span>(x_{3})</span> directions, establishing the stability and long-time behavior of this MHD system is highly nontrivial. Through a subtle energy estimate and careful analysis of the nonlinearities, we rigorously justify the stability of this MHD system near a background magnetic field and derive explicit decay rates. The primary challenge lies in proving the uniform integrability of <span>(|nabla _{h}u|_{L^{infty }})</span> in the time variable.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026974","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
Monotone Operator Methods for a Class of Nonlocal Multi-Phase Variable Exponent Problems 一类非局部多相变指数问题的单调算子方法
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2026-01-15 DOI: 10.1007/s10440-026-00768-8
Mustafa Avci
{"title":"Monotone Operator Methods for a Class of Nonlocal Multi-Phase Variable Exponent Problems","authors":"Mustafa Avci","doi":"10.1007/s10440-026-00768-8","DOIUrl":"10.1007/s10440-026-00768-8","url":null,"abstract":"<div><p>In this paper, we study a class of nonlocal multi-phase variable exponent problems within the framework of a newly introduced Musielak-Orlicz Sobolev space. We consider two problems, each distinguished by the type of nonlinearity it includes. To establish the existence of at least one nontrivial solution for each problem, we employ two different monotone operator methods.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145983379","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 Two-Step Inertial Method for Common Variational Inclusions with Applications to Sparse Learning Models 常用变分包含的两步惯性方法及其在稀疏学习模型中的应用
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2026-01-13 DOI: 10.1007/s10440-025-00764-4
Nguyen Thi Thu Thuy, Le Xuan Ly
{"title":"A Two-Step Inertial Method for Common Variational Inclusions with Applications to Sparse Learning Models","authors":"Nguyen Thi Thu Thuy,&nbsp;Le Xuan Ly","doi":"10.1007/s10440-025-00764-4","DOIUrl":"10.1007/s10440-025-00764-4","url":null,"abstract":"<div><p>This paper investigates common variational inclusion problems (CVIPs) beyond the traditional inverse strongly monotone setting, focusing instead on a broader class of monotone and Lipschitz continuous operators. We introduce a novel two-step inertial algorithm incorporating self-adaptive regularization and relaxation techniques to address this generalized framework. We establish the strong convergence of the proposed method under mild assumptions. Extensive numerical experiments demonstrate that our algorithm consistently outperforms several existing approaches. Furthermore, we highlight the practical significance of our framework by reformulating a range of real-world applications, such as the elastic net in statistical learning, sparse logistic regression, and LASSO, as instances of CVIPs.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982910","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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