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Global Boundedness in a Chemotaxis System Involving Signal-Dependent Motility and Indirect Signal Consumption 涉及信号依赖运动和间接信号消耗的趋化系统的全局有界性
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-08-25 DOI: 10.1007/s10440-025-00738-6
Chun Wu
{"title":"Global Boundedness in a Chemotaxis System Involving Signal-Dependent Motility and Indirect Signal Consumption","authors":"Chun Wu","doi":"10.1007/s10440-025-00738-6","DOIUrl":"10.1007/s10440-025-00738-6","url":null,"abstract":"<div><p>In this paper, we consider the following consumption chemotaxis system </p><div><div><span>$$ textstylebegin{cases} u_{t}=Delta left (uphi (v)right )+au-bu^{gamma }, &amp;(x,t)in Omega times (0,infty ), v_{t}=Delta {v}-uvw, &amp; (x,t)in Omega times (0,infty ), w_{t}=-delta w+u,&amp;(x,t)in Omega times (0,infty ), end{cases} $$</span></div></div><p> under the smooth bounded domain <span>(Omega subset mathbb{R}^{n},,(nge 2))</span> with homogeneous Neumann boundary conditions, where the parameters <span>(a&gt;0)</span>, <span>(b&gt;0)</span>, <span>(gamma ge 2)</span> and <span>(delta &gt;0)</span>. It has been shown that for any sufficiently regular initial data, the associated initial-boundary value problem has a global classical solutions.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"199 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144897140","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
Multiscale Central High-Resolution Schemes with Different Types of Extended Slope Limiters on Wavelet-Based Adapted Cells 基于小波自适应单元的不同类型扩展斜率限制器的多尺度中心高分辨率格式
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-07-22 DOI: 10.1007/s10440-025-00735-9
Hassan Yousefi, Iradj Mahmoudzadeh Kani, Timon Rabczuk
{"title":"Multiscale Central High-Resolution Schemes with Different Types of Extended Slope Limiters on Wavelet-Based Adapted Cells","authors":"Hassan Yousefi,&nbsp;Iradj Mahmoudzadeh Kani,&nbsp;Timon Rabczuk","doi":"10.1007/s10440-025-00735-9","DOIUrl":"10.1007/s10440-025-00735-9","url":null,"abstract":"<div><p>To have proper multiscale simulations by central high-resolution schemes, the performance of slope limiters is crucial on adapted cells in terms of stability, accuracy, high-resolution, entropy-satisfying and spectral features. Hence, here, different families of slope limiters are extended or developed over non-uniform centered/non-centered cells, obtained by the wavelet-based adapted grids. The developed limiters on adaptive cells, are: (1) The entropy-satisfying limiter, (2) Second-order non-symmetric limited slopes and corresponding symmetric formulations, (3) Limiters with symmetric three-point stencils, second-order accuracy and the total variation diminishing (TVD) feature. The three-point stencil slope limiters do not preserve the symmetry feature on non-uniform cells. However, slopes obtained by non-symmetric stencils nearly preserve the symmetric property for different directions, as the direction-effect is inherent in their formulations. For non-symmetric limiters, firstly, corresponding TVD and monotonicity-preserving conditions are provided. Then, eight non-symmetric limited slopes are developed with four-, five- and three-point stencils. They are then unified to achieve four symmetric limiters. For the symmetric limiters with three-point stencils, also, the concept of blending of two limiters is updated to achieve compression-adaptive limiters. All limiters are used in the cell-adaptive Kurganov-Tadmor (KT) central scheme. Afterwards, the effects of limited slopes are studied on spectral properties. Finally, several problems are presented.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"198 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167935","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
On Optimality Conditions for a Class of Nondifferentiable Multiobjective Programming Problems with Vanishing Constraints 一类约束消失的不可微多目标规划问题的最优性条件
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-06-26 DOI: 10.1007/s10440-025-00733-x
Tadeusz Antczak
{"title":"On Optimality Conditions for a Class of Nondifferentiable Multiobjective Programming Problems with Vanishing Constraints","authors":"Tadeusz Antczak","doi":"10.1007/s10440-025-00733-x","DOIUrl":"10.1007/s10440-025-00733-x","url":null,"abstract":"<div><p>Extremum problems with vanishing constraints are models several applications in structural and topology optimization. In this paper, a class of nonsmooth vector optimization problems with both inequality, equality and vanishing constraints is considered. The Abadie regularity condition and the modified Abadie regularity condition are introduced for the aforesaid multicriteria optimization problems if the functions constituting them are Hadamard differentiable. Under the mentioned regularity conditions, the Karush-Kuhn-Tucker type necessary optimality conditions are established for vector optimization problems with vanishing constraints in which the involved functions are Gàteaux differentiable. Further, the sufficient optimality conditions are proved for such nondifferentiable multiobjective programming problems with vanishing constraints under assumptions that the objective functions are pseudo-convex and constraint functions are quasi-convex. Thus, the fundamental results from optimization theory, that is, optimality conditions are proved for a new class of structural and topological optimization problems for which the aforesaid multicriteria optimization problems with vanishing constraints are models.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"198 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10440-025-00733-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170138","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
Traveling Waves in a Reaction-Diffusion Addiction Epidemic Model with Distributed Delays 具有分布延迟的反应-扩散成瘾流行病模型中的行波
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-06-23 DOI: 10.1007/s10440-025-00736-8
Hamid Toumi, Khaled Boudjema Djeffal, Abdelheq Mezouaghi, Rassim Darazirar, Salih Djilali
{"title":"Traveling Waves in a Reaction-Diffusion Addiction Epidemic Model with Distributed Delays","authors":"Hamid Toumi,&nbsp;Khaled Boudjema Djeffal,&nbsp;Abdelheq Mezouaghi,&nbsp;Rassim Darazirar,&nbsp;Salih Djilali","doi":"10.1007/s10440-025-00736-8","DOIUrl":"10.1007/s10440-025-00736-8","url":null,"abstract":"<div><p>This study examines whether a traveling wave solution for an addiction reaction-diffusion epidemic model with dispersed delays exists or not. The primary characteristic of the model is the potential weakness in the standard comparison principle, which prevents many known conclusions from being applied. If the basic reproduction number of the model, indicated by <span>(R_{0})</span>, is larger than one, there is a minimal wave speed, denoted by <span>(c^{*}&gt;0)</span>, such that the system admits a nontrivial traveling wave solution with wave speed <span>(c)</span> when <span>(cgeq c^{*})</span>. However, for either <span>(R_{0}&gt;1)</span> and <span>(c&lt; c^{*})</span>, or <span>(R_{0}&lt;1)</span>, there is no nontrivial traveling wave solution.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"198 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167848","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
Exponential Stability for Degenerate/Singular Hyperbolic Equations with Delayed Boundary Feedback 具有延迟边界反馈的退化/奇异双曲型方程的指数稳定性
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-06-19 DOI: 10.1007/s10440-025-00737-7
Jawad Salhi
{"title":"Exponential Stability for Degenerate/Singular Hyperbolic Equations with Delayed Boundary Feedback","authors":"Jawad Salhi","doi":"10.1007/s10440-025-00737-7","DOIUrl":"10.1007/s10440-025-00737-7","url":null,"abstract":"<div><p>In this paper, we consider a degenerate/singular wave equation that is fixed at the point where the degeneracy occurs and stabilized with a time-delayed boundary feedback at the other endpoint. First, we study the well-posedness of the system under consideration in appropriate weighted spaces by using semigroup theory. Then, we prove its exponential stability under a suitable condition on both coefficients of the delayed damping term and the not delayed one. Furthermore, an explicit expression of the exponential decay in terms of the system parameters is provided, leveraging both the multiplier method and the Lyapunov functional approach.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"198 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166557","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
On Exterior-Algebraic Quaternions with Application to Maxwell Equations 外代数四元数在麦克斯韦方程中的应用
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-06-16 DOI: 10.1007/s10440-025-00734-w
Ivano Colombaro
{"title":"On Exterior-Algebraic Quaternions with Application to Maxwell Equations","authors":"Ivano Colombaro","doi":"10.1007/s10440-025-00734-w","DOIUrl":"10.1007/s10440-025-00734-w","url":null,"abstract":"<div><p>Within the framework of exterior algebra, the concept of time-like quaternions has been previously established. This paper advances beyond the existing structure by elucidating the procedure for constructing time-like quaternions with the feature of complex scalar terms. We delineate on the crucial role of these extended definition of quaternions in formulating Maxwell equations, having properly defined a pure quaternion containing the components of the classical electric and magnetic fields. Through a formal introduction, we describe the approach followed to acquiring time-like quaternions, characterized by having complex scalar term, and their significant relationship with the derivation of Maxwell equations. This topic not only underscores the mathematical intricacies of quaternionic algebra, but also highlights its profound implications in the description of fundamental electromagnetic phenomena.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"198 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145165523","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
Effects of Diffusion on a Degenerate Predator-Prey Model with Cross-Diffusion 扩散对具有交叉扩散的退化捕食者-猎物模型的影响
IF 1 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-06-04 DOI: 10.1007/s10440-025-00732-y
Yu-Xia Wang, Nan Zhang
{"title":"Effects of Diffusion on a Degenerate Predator-Prey Model with Cross-Diffusion","authors":"Yu-Xia Wang,&nbsp;Nan Zhang","doi":"10.1007/s10440-025-00732-y","DOIUrl":"10.1007/s10440-025-00732-y","url":null,"abstract":"<div><p>In this paper, we are concerned about the steady state problem of a degenerate predator-prey model with cross-diffusion. First, some properties of principal eigenvalues are deduced. Next, the stability of the semitrivial steady state solutions are obtained. Finally, existence, uniqueness and stability of positive steady state solutions are derived. The result reveals that the diffusion with spatial degeneracy profoundly influences the structure and stability of semitrivial steady state solutions and the coexistence region, which is a strong contrast to the result with no spatial degeneracy.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"197 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161682","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
Boundedness and Large Time Behavior in a Two-Dimensional Keller-Segel-Navier-Stokes System with Nonlinear Diffusion Modeling Coral Fertilization 非线性扩散模拟珊瑚受精的二维Keller-Segel-Navier-Stokes系统的有界性和大时间行为
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-05-15 DOI: 10.1007/s10440-025-00731-z
Na Huang, Chunlai Mu, Minghua Zhang, Xu Pan
{"title":"Boundedness and Large Time Behavior in a Two-Dimensional Keller-Segel-Navier-Stokes System with Nonlinear Diffusion Modeling Coral Fertilization","authors":"Na Huang,&nbsp;Chunlai Mu,&nbsp;Minghua Zhang,&nbsp;Xu Pan","doi":"10.1007/s10440-025-00731-z","DOIUrl":"10.1007/s10440-025-00731-z","url":null,"abstract":"<div><p>This paper deals with a two-dimensional Keller-Segel-Navier-Stokes system of coral fertilization with porous medium diffusion. When the nonlinear diffusion exponents of sperms and eggs <span>(m&gt;frac{1}{2})</span>, <span>(l&gt;0)</span> respectively, as well as the strength of fertilization <span>(mu &gt;0)</span>, the system possesses a global bounded weak solution. Furthermore, if <span>(0&lt; l&lt;1)</span>, the corresponding global weak solution stabilizes to the spatially homogeneous equilibrium <span>((n_{infty },rho _{infty },rho _{infty },0))</span> in an appropriate sense, where <span>(n_{infty }:=frac{1}{|Omega |}(int _{Omega }n_{0}-int _{Omega } rho _{0})_{+})</span> and <span>(rho _{infty }:=frac{1}{|Omega |}(int _{Omega }rho _{0}-int _{ Omega }n_{0})_{+})</span>.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"197 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073644","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 Novel Design Ricker Wavelet Neural Networks for Heat Transfer in Maxwell Fluid Boundary Layer Flow with Viscous Dissipation over a Porous Stretchable Sheet 基于Ricker小波神经网络的多孔可拉伸薄板黏性耗散麦克斯韦流体边界层传热研究
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-05-06 DOI: 10.1007/s10440-025-00730-0
Zeeshan Ikram Butt, Iftikhar Ahmad, Muhammad Shoaib, Syed Ibrar Hussain, Hira Ilyas, Muhammad Asif Zahoor Raja
{"title":"A Novel Design Ricker Wavelet Neural Networks for Heat Transfer in Maxwell Fluid Boundary Layer Flow with Viscous Dissipation over a Porous Stretchable Sheet","authors":"Zeeshan Ikram Butt,&nbsp;Iftikhar Ahmad,&nbsp;Muhammad Shoaib,&nbsp;Syed Ibrar Hussain,&nbsp;Hira Ilyas,&nbsp;Muhammad Asif Zahoor Raja","doi":"10.1007/s10440-025-00730-0","DOIUrl":"10.1007/s10440-025-00730-0","url":null,"abstract":"<div><p>The current research is a revolution in the field of neural computation as a quite new stochastic technique based on Ricker wavelet neural networks (RWNNs) is developed to analyze the Maxwell fluid (Max-F) boundary layer flow (BLF) with heat and mass transfer effects over an elongating surface. The global and local search solvers used with RWNNs are genetic algorithms (GAs) and sequential quadratic programming (SQP) respectively to design a new algorithm i.e. RWNNs-GASQP. The transformed nonlinear system of ODEs is acquired using the physical model represented by the flow and then solved using RWNNs-GASQP solver. The obtained numerical form results are successfully compared with reference results acquired through the Adams technique. The accuracy, convergence and effectiveness of the designed solver are identified using numerous statistical and performance analyses.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"197 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10440-025-00730-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143908874","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
Synchronization of WPAA-Solution of Clifford-Valued Neural Network with Multiple Time-Varying Delays and Impulse Effects on Hybrid Domains 混合域上具有多时变延迟和脉冲效应的克里福德值神经网络的 WPAA 解的同步化
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-04-25 DOI: 10.1007/s10440-025-00729-7
Divya Agrawal, Syed Abbas
{"title":"Synchronization of WPAA-Solution of Clifford-Valued Neural Network with Multiple Time-Varying Delays and Impulse Effects on Hybrid Domains","authors":"Divya Agrawal,&nbsp;Syed Abbas","doi":"10.1007/s10440-025-00729-7","DOIUrl":"10.1007/s10440-025-00729-7","url":null,"abstract":"<div><p>This paper addresses a class of Clifford-valued shunting inhibitory cellular neural networks on time scales. In this paper, we study the weighted pseudo almost automorphic (<i>WPAA</i>) solutions for Clifford-valued network models by taking into account time-varying delays and impulsive effects, resulting in a novel work. A key challenge in this context is the non-commutativity of Clifford numbers, which complicates the analysis. By using the non-decomposition and Banach fixed point, we prove the existence of a <i>WPAA</i> solution, and by using the Lyapunov function and feedback function, we explore the exponential synchronization for this model. The presented results significantly extend and complement existing findings in the field. In the end, the paper provides examples that demonstrate the usefulness of our analytical findings.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"197 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143871323","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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