Acta Applicandae Mathematicae最新文献_第6页

Boundedness in a Chemotaxis Model with Nonlinear Consumption and Nonlocal Logistic Feedback 一类具有非线性消耗和非局部Logistic反馈的趋化模型的有界性

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-01-12 DOI: 10.1007/s10440-026-00766-w

Chang-Jian Wang

{"title":"Boundedness in a Chemotaxis Model with Nonlinear Consumption and Nonlocal Logistic Feedback","authors":"Chang-Jian Wang","doi":"10.1007/s10440-026-00766-w","DOIUrl":"10.1007/s10440-026-00766-w","url":null,"abstract":"<div><p>The following chemotaxis-consumption problem with no-flux boundary conditions has been considered </p><div><div><span>$$ left { textstylebegin{array}{l@{quad }l} v_{t}=Delta (omega ^{-alpha }v)+eta v^{beta }(1-int _{Omega }v^{ kappa }), & (x,t) in Omega times (0,T_{max }), omega _{t}=Delta omega -v^{gamma }omega , & (x,t) in Omega times (0,T_{max }), end{array}displaystyle right . $$</span></div></div><p> within a smoothly bounded domain <span>(Omega subset mathbb{R}^{n}(ngeq 3))</span>, where the parameters <span>(kappa >beta >1)</span>, <span>(alpha , gamma ,eta >0)</span>, and <span>(T_{max }in (0,infty ])</span>. This paper mainly examines the effects of nonlinear dissipation and nonlocal logistic feedback on solutions. Specifically, for all suitably regular initial data, it has been established that if </p><div><div><span>$$ 2leq beta < 1+frac{2kappa }{n} text{and} beta +kappa >gamma (n+2), $$</span></div></div><p> or </p><div><div><span>$$ 1< beta < 2 text{and} beta +kappa > max {frac{n+4}{2}, gamma (n+2)}, $$</span></div></div><p> then the above system has a global classical solution. Compared with previous research results, the novelty (or difficulty) of this paper lies in the combination of non-local terms and nonlinear dissipation.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982561","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

Asymptotic Behavior for the Korteweg-de Vries Equation with Rapid Oscillations 具有快速振荡的Korteweg-de Vries方程的渐近性态

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-01-12 DOI: 10.1007/s10440-025-00765-3

Mo Chen

引用次数: 0

Multiplicity Manifolds as an Opening to Prescribe Exponential Decay: Auto-Regressive Boundary Feedback in Wave Equation Stabilization 多重流形作为指数衰减的一个开端：波动方程稳定中的自回归边界反馈

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-01-03 DOI: 10.1007/s10440-025-00761-7

Kaïs Ammari, Islam Boussaada, Silviu-Iulian Niculescu, Sami Tliba

{"title":"Multiplicity Manifolds as an Opening to Prescribe Exponential Decay: Auto-Regressive Boundary Feedback in Wave Equation Stabilization","authors":"Kaïs Ammari, Islam Boussaada, Silviu-Iulian Niculescu, Sami Tliba","doi":"10.1007/s10440-025-00761-7","DOIUrl":"10.1007/s10440-025-00761-7","url":null,"abstract":"<div><p>Exploring a more than 70 years old idea about the minimization of the spectral abscissa of linear functional differential equations, a series of recent works highlighted the insights that multiple spectral values may bring in the characterization of the decay rate for the solution of such dynamical systems. In fact, it has been shown that a spectral value of sufficiently high multiplicity tends to be dominant, in what is now known as the <i>multiplicity-induced-dominancy</i> (MID) property. When it is valid, this property can be remarkably helpful in the control of dynamical systems governed by functional differential equations or even some classes of partial differential equations. Beyond its simplicity, what sets it apart from other control methods is the valuable quantitative advantage it provides by prescribing the exact solution’s decay rate. Since then, many works have been dedicated to studying the extent of the MID as well as its use in practical control applications. In this paper, apart from the extension of the MID property to continuous-time difference functional equations with multiple delays, we study the case when the MID fails. In fact, despite the invalidity of the MID property, we emphasize the interest of forcing a spectral value multiplicity to derive a sharp estimate of the corresponding rightmost spectral value. To demonstrate the effectiveness of the proposed methodology, we consider the stabilization problem of the wave equation with an auto-regressive boundary feedback. By using an appropriate finite element modeling, a numerical simulation of the boundary control for the wave equation case is performed to illustrate these results through the example of vibration control of a long drill pipe submitted to a shock-like disturbance. The time responses show the effectiveness of the proposed approach and mainly that the decay rate can be arbitrarily selected.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"201 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930062","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

Asymptotically Autonomous Robustness of Pullback Attractors for Non-autonomous Newton-Boussinesq Equation on Unbounded Poincaré Domains 无界poincarcarr区域上非自治Newton-Boussinesq方程的回拉吸引子的渐近自治鲁棒性

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-12-19 DOI: 10.1007/s10440-025-00762-6

Qianqian Luo, Dexin Li, Jibing Leng, Yun Wu

引用次数: 0

Global Attractors and Determining Functionals for Helical Flows of Maxwell Fluid 麦克斯韦流体螺旋流动的全局吸引子和决定泛函

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-12-17 DOI: 10.1007/s10440-025-00760-8

M. M. Freitas, N. T. Vu, A. J. A. Ramos

引用次数: 0

Quantitative Comparison Results for First-Order Hamilton-Jacobi Equations 一阶Hamilton-Jacobi方程的定量比较结果

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-12-15 DOI: 10.1007/s10440-025-00759-1

Vincenzo Amato, Luca Barbato

引用次数: 0

Picard’s Method for Solving Fractal Differential Equations 求解分形微分方程的皮卡德方法

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-12-04 DOI: 10.1007/s10440-025-00755-5

Alireza Khalili Golmankhaneh

引用次数: 0

A Mathematical Model for Energy Harvesting: Two Piezoelectric Bodies in Mutual Contact with Friction 一个能量收集的数学模型：两个相互接触的摩擦压电体

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-11-24 DOI: 10.1007/s10440-025-00758-2

Abderrahim Zafrar, Omar Elamraoui, El Hassan Essoufi

引用次数: 0

Stability, Bifurcation and Sensitivity Analysis of Three-Species Smith Growth Models with Time Delay 具有时滞的三种Smith生长模型的稳定性、分岔和灵敏度分析

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-11-18 DOI: 10.1007/s10440-025-00757-3

Yiwen Chen, Yuanfu Shao

{"title":"Stability, Bifurcation and Sensitivity Analysis of Three-Species Smith Growth Models with Time Delay","authors":"Yiwen Chen, Yuanfu Shao","doi":"10.1007/s10440-025-00757-3","DOIUrl":"10.1007/s10440-025-00757-3","url":null,"abstract":"<div><p>In this paper, we study a population dynamics model containing one prey and two predators, combining the Smith growth model, the Holling Type II, and the Monod-Haldane functional response. We introduce time lags, nonlinear suppression terms, and Allee effects. We demonstrate the persistence of the system, showing that under specific parameter conditions, the system is able to maintain the population size within positive values and finite intervals. We also prove the global asymptotic stability of the system near the internal equilibrium point and investigate the effect of the time lag parameter on the stability of the system, which shows that the system will change from steady state to periodic oscillation when the time lag parameter exceeds a certain critical value. In the sensitivity analysis section, we develop the study using two approaches: firstly, the direct method reveals that the system shows high sensitivity to small changes in the time lag parameter in the early stage; and then, by combining the Latin Hypercubic Sampling (LHS) method and the Partial Correlation Coefficients (PRCC), we conduct global uncertainty and sensitivity analyses of the parameters in the system in order to assess the effect of different parameters on the model output. Numerical simulations validate our theoretical derivations and demonstrate the complex behavioral patterns of the system under different time lag conditions. This study provides an important theoretical basis for understanding predator-prey dynamics and suggests a strong methodological support for biodiversity conservation and ecosystem management.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"200 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145560934","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

Asymptotic Behaviour of a Class of Reaction Diffusion Difference Systems with Distributed Delay and Non Monotone Bistable Nonlinearity 一类具有分布时滞和非单调双稳非线性的反应扩散差分系统的渐近行为

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-11-11 DOI: 10.1007/s10440-025-00754-6

Sirine Khedoudja Ghermoul, Youssouf Oussama Boukarabila

引用次数: 0