发布求助
文献互助 智能选刊 最新文献

Acta Applicandae Mathematicae最新文献

筛选
英文 中文
Asymptotic Flocking for the Cucker-Smale Model with Time Variable Time Delays 具有时间可变性时间延迟的卡克-斯马尔模型的渐近成群效应
IF 1.6 4区 数学
Acta Applicandae Mathematicae Pub Date : 2023-12-05 DOI: 10.1007/s10440-023-00625-y
Elisa Continelli
{"title":"Asymptotic Flocking for the Cucker-Smale Model with Time Variable Time Delays","authors":"Elisa Continelli","doi":"10.1007/s10440-023-00625-y","DOIUrl":"10.1007/s10440-023-00625-y","url":null,"abstract":"<div><p>In this paper, we investigate a Cucker-Smale flocking model with varying time delay. We establish exponential asymptotic flocking without requiring smallness assumptions on the time delay size and the monotonicity of the influence function.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138491338","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: 2
Hilbert-Schmidt Numerical Radius of a Pair of Operators 算子对的Hilbert-Schmidt数值半径
IF 1.6 4区 数学
Acta Applicandae Mathematicae Pub Date : 2023-12-04 DOI: 10.1007/s10440-023-00624-z
Soumia Aici, Abdelkader Frakis, Fuad Kittaneh
{"title":"Hilbert-Schmidt Numerical Radius of a Pair of Operators","authors":"Soumia Aici,&nbsp;Abdelkader Frakis,&nbsp;Fuad Kittaneh","doi":"10.1007/s10440-023-00624-z","DOIUrl":"10.1007/s10440-023-00624-z","url":null,"abstract":"<div><p>We introduce a new norm on <span>(mathcal{C}_{2}times mathcal{C}_{2})</span>, where <span>(mathcal{C}_{2})</span> is the Hilbert-Schmidt class. We study basic properties of this norm and prove inequalities involving it. As an application of the present study, we deduce a chain of new bounds for the Hilbert-Schmidt numerical radii of <span>(2times 2)</span> operator matrices. Connection with the classical Hilbert-Schmidt numerical radius of a single operator are also provided. Moreover, we refine some related existing bounds, too.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138491252","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 Direct Proof of Linear Decay Rate for Euler-Coriolis Equations 欧拉-科里奥利方程线性衰减率的直接证明
IF 1.6 4区 数学
Acta Applicandae Mathematicae Pub Date : 2023-11-28 DOI: 10.1007/s10440-023-00621-2
Siqi Ren
{"title":"A Direct Proof of Linear Decay Rate for Euler-Coriolis Equations","authors":"Siqi Ren","doi":"10.1007/s10440-023-00621-2","DOIUrl":"10.1007/s10440-023-00621-2","url":null,"abstract":"<div><p>In this paper, we give a direct proof of <span>(t^{-1})</span> (optimal) linear decay rate for Euler-Coriolis equations in <span>(L^{infty })</span> space-time. Our proof is based on a proper decomposition of the explicit solution and <span>(L^{infty })</span> estimate for the kernels, which captures the dispersive mechanism.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138468342","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
Stability for an Interface Transmission Problem of Wave-Plate Equations with Dynamical Boundary Controls 具有动态边界控制的波片方程界面传输问题的稳定性
IF 1.6 4区 数学
Acta Applicandae Mathematicae Pub Date : 2023-11-22 DOI: 10.1007/s10440-023-00611-4
Zahraa Abdallah, Stéphane Gerbi, Chiraz Kassem, Ali Wehbe
{"title":"Stability for an Interface Transmission Problem of Wave-Plate Equations with Dynamical Boundary Controls","authors":"Zahraa Abdallah,&nbsp;Stéphane Gerbi,&nbsp;Chiraz Kassem,&nbsp;Ali Wehbe","doi":"10.1007/s10440-023-00611-4","DOIUrl":"10.1007/s10440-023-00611-4","url":null,"abstract":"<div><p>We investigate a two-dimensional transmission model consisting of a wave equation and a Kirchhoff plate equation with dynamical boundary controls under geometric conditions. The two equations are coupled through transmission conditions along a steady interface between the domains in which the wave and plate equations evolve, respectively. Our primary concern is the stability analysis of the system, which has not appeared in the literature. For this aim, using a unique continuation theorem, the strong stability of the system is proved without any geometric condition and in the absence of compactness of the resolvent. Then, we show that our system lacks exponential (uniform) stability. However, we establish a polynomial energy decay estimate of type <span>(1/t)</span> for smooth initial data using the frequency domain approach from semigroup theory, which combines a contradiction argument with the multiplier technique. This method leads to certain geometrical conditions concerning the wave’s and the plate’s domains.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138431671","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
Incompressible Limits of the Patlak-Keller-Segel Model and Its Stationary State patak - keller - segel模型的不可压缩极限及其定态
IF 1.6 4区 数学
Acta Applicandae Mathematicae Pub Date : 2023-11-17 DOI: 10.1007/s10440-023-00622-1
Qingyou He, Hai-Liang Li, Benoît Perthame
{"title":"Incompressible Limits of the Patlak-Keller-Segel Model and Its Stationary State","authors":"Qingyou He,&nbsp;Hai-Liang Li,&nbsp;Benoît Perthame","doi":"10.1007/s10440-023-00622-1","DOIUrl":"10.1007/s10440-023-00622-1","url":null,"abstract":"<div><p>We complete previous results about the incompressible limit of both the <span>(n)</span>-dimensional <span>((ngeq 3))</span> compressible Patlak-Keller-Segel (PKS) model and its stationary state. As in previous works, in this limit, we derive the weak form of a geometric free boundary problem of Hele-Shaw type, also called congested flow. In particular, we are able to take into account the unsaturated zone, and establish the complementarity relation which describes the limit pressure by a degenerate elliptic equation. Not only our analysis uses a completely different framework than previous approaches, but we also establish two novel uniform estimates in <span>(L^{3})</span> of the pressure gradient and in <span>(L^{1})</span> for the time derivative of the pressure. We also prove regularity à la Aronson-Bénilan. Furthermore, for the Hele-Shaw problem, we prove the uniqueness of solutions, meaning that the incompressible limit of the PKS model is unique. In addition, we establish the corresponding incompressible limit of the stationary state for the PKS model with a given mass, where, different from the case of PKS model, we obtain the uniform bound of pressure and the uniformly bounded support of density.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138138505","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: 7
Stability of a Vector-Borne Disease Model with a Delayed Nonlinear Incidence 一类具有时滞非线性发病率的病媒传播疾病模型的稳定性
IF 1.6 4区 数学
Acta Applicandae Mathematicae Pub Date : 2023-11-14 DOI: 10.1007/s10440-023-00623-0
Ali Traoré
{"title":"Stability of a Vector-Borne Disease Model with a Delayed Nonlinear Incidence","authors":"Ali Traoré","doi":"10.1007/s10440-023-00623-0","DOIUrl":"10.1007/s10440-023-00623-0","url":null,"abstract":"<div><p>A vector-borne disease model with spatial diffusion with time delays and a general incidence function is studied. We derived conditions under which the system exhibits threshold behavior. The stability of the disease-free equilibrium and the endemic equilibrium are analyzed by using the linearization method and constructing appropriate Lyapunov functionals. It is shown that the given conditions are satisfied by at least two common forms of the incidence function.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796466","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 Cumulative Tsallis Entropies 论累积萨利斯熵
IF 1.6 4区 数学
Acta Applicandae Mathematicae Pub Date : 2023-11-13 DOI: 10.1007/s10440-023-00620-3
Thomas Simon, Guillaume Dulac
{"title":"On Cumulative Tsallis Entropies","authors":"Thomas Simon,&nbsp;Guillaume Dulac","doi":"10.1007/s10440-023-00620-3","DOIUrl":"10.1007/s10440-023-00620-3","url":null,"abstract":"<div><p>We investigate the cumulative Tsallis entropy, an information measure recently introduced as a cumulative version of the classical Tsallis differential entropy, which is itself a generalization of the Boltzmann-Gibbs statistics. This functional is here considered as a perturbation of the expected mean residual life via some power weight function. This point of view leads to the introduction of the dual cumulative Tsallis entropy and of two families of coherent risk measures generalizing those built on mean residual life. We characterize the finiteness of the cumulative Tsallis entropy in terms of <span>({mathcal{L}}_{p})</span>-spaces and show how they determine the underlying distribution. The range of the functional is exactly described under various constraints, with optimal bounds improving on all those previously available in the literature. Whereas the maximization of the Tsallis differential entropy gives rise to the classical <span>(q)</span>-Gaussian distribution which is a generalization of the Gaussian having a finite range or heavy tails, the maximization of the cumulative Tsallis entropy leads to an analogous perturbation of the Logistic distribution.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796492","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: 1
Stability by Polynomial Squeezing for a Class of Energy Damping Plate Models 一类能量阻尼板模型的多项式压缩稳定性
IF 1.6 4区 数学
Acta Applicandae Mathematicae Pub Date : 2023-11-07 DOI: 10.1007/s10440-023-00619-w
Flank D. M. Bezerra, Linfang Liu, Vando Narciso
{"title":"Stability by Polynomial Squeezing for a Class of Energy Damping Plate Models","authors":"Flank D. M. Bezerra,&nbsp;Linfang Liu,&nbsp;Vando Narciso","doi":"10.1007/s10440-023-00619-w","DOIUrl":"10.1007/s10440-023-00619-w","url":null,"abstract":"<div><p>In this work we consider a semilinear plate equation with non-constant material density in the context of energy damping models. Existence and uniqueness of regular and generalized solutions are established. The energy associated to this equation is shown to posses a compressed polynomial decay range.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134795806","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
Bistability and Oscillatory Behaviours of Cyclic Feedback Loops 循环反馈回路的双稳性和振荡性
IF 1.6 4区 数学
Acta Applicandae Mathematicae Pub Date : 2023-10-31 DOI: 10.1007/s10440-023-00618-x
Jules Guilberteau
{"title":"Bistability and Oscillatory Behaviours of Cyclic Feedback Loops","authors":"Jules Guilberteau","doi":"10.1007/s10440-023-00618-x","DOIUrl":"10.1007/s10440-023-00618-x","url":null,"abstract":"<div><p>In this paper, we study the stability of an Ordinary Differential Equation (ODE) usually referred to as Cyclic Feedback Loop, which typically models a biological network of <span>(d)</span> molecules where each molecule regulates its successor in a cycle (<span>(A_{1}rightarrow A_{2}rightarrow cdots rightarrow A_{d-1} rightarrow A_{d} rightarrow A_{1})</span>). Regulations, which can be either positive or negative, are modelled by increasing or decreasing functions. We make an analysis of this model for a wide range of functions (including affine and Hill functions) by determining the parameters for which bistability and oscillatory behaviours arise. These results encompass previous theoretical studies of gene regulatory networks, which are particular cases of this model.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134797897","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
Detached Shock Past a Blunt Body 经过钝体的分离电击
IF 1.6 4区 数学
Acta Applicandae Mathematicae Pub Date : 2023-10-31 DOI: 10.1007/s10440-023-00617-y
Myoungjean Bae, Wei Xiang
{"title":"Detached Shock Past a Blunt Body","authors":"Myoungjean Bae,&nbsp;Wei Xiang","doi":"10.1007/s10440-023-00617-y","DOIUrl":"10.1007/s10440-023-00617-y","url":null,"abstract":"<div><p>In <span>(mathbb{R}^{2})</span>, a symmetric blunt body <span>(W_{b})</span> is fixed by smoothing out the tip of a symmetric wedge <span>(W_{0})</span> with the half-wedge angle <span>(theta _{w}in (0, frac{pi }{2}))</span>. We first show that if a horizontal supersonic flow of uniform state moves toward <span>(W_{0})</span> with a Mach number <span>(M_{infty }&gt;1)</span> being sufficiently large depending on <span>(theta _{w})</span>, then the half-wedge angle <span>(theta _{w})</span> is less than <i>the detachment angle</i> so that there exist two shock solutions, <i>a weak shock solution and a strong shock solution</i>, with the shocks being straight and attached to the vertex of the wedge <span>(W_{0})</span>. Such shock solutions are given by a shock polar analysis, and they satisfy entropy conditions. The main goal of this work is to construct a detached shock solution of the steady Euler system for inviscid compressible irrotational flow in <span>(mathbb{R}^{2}setminus W_{b})</span>. Especially, we seek a shock solution with the far-field state given as the strong shock solution obtained from the shock polar analysis. Furthermore, we prove that the detached shock forms a convex curve around the blunt body <span>(W_{b})</span> if the Mach number of the incoming supersonic flow is sufficiently large, and if the boundary of <span>(W_{b})</span> is convex.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134797858","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: 2
首页 上一页 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：481959085
Book学术官方微信