Acta Applicandae Mathematicae最新文献_第7页

Global Well-Posedness and Exponential Decay of Strong Solution to the Three-Dimensional Nonhomogeneous Bénard System with Density-Dependent Viscosity and Vacuum 具有密度相关粘度和真空的三维非均质贝纳德系统的全局好求和强解的指数衰减

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2024-07-04 DOI: 10.1007/s10440-024-00669-8

Huanyuan Li, Jieqiong Liu

引用次数: 0

A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm 介于贝雷津半径和贝雷津规范之间的新半规范族

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2024-07-03 DOI: 10.1007/s10440-024-00667-w

Mojtaba Bakherad, Cristian Conde, Fuad Kittaneh

{"title":"A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm","authors":"Mojtaba Bakherad, Cristian Conde, Fuad Kittaneh","doi":"10.1007/s10440-024-00667-w","DOIUrl":"10.1007/s10440-024-00667-w","url":null,"abstract":"<div><p>A functional Hilbert space is the Hilbert space ℋ of complex-valued functions on some set <span>(Theta subseteq mathbb{C})</span> such that the evaluation functionals <span>(varphi _{tau }left ( fright ) =fleft ( tau right ) )</span>, <span>(tau in Theta )</span>, are continuous on ℋ. The Berezin number of an operator <span>(X)</span> is defined by <span>(mathbf{ber}(X)=underset{tau in {Theta } }{sup }big vert widetilde{X}(tau )big vert = underset{tau in {Theta } }{sup }big vert langle Xhat{k}_{tau },hat{k}_{tau }rangle big vert )</span>, where the operator <span>(X)</span> acts on the reproducing kernel Hilbert space <span>({mathscr{H}}={mathscr{H}(}Theta ))</span> over some (non-empty) set <span>(Theta )</span>. In this paper, we introduce a new family involving means <span>(Vert cdot Vert _{sigma _{t}})</span> between the Berezin radius and the Berezin norm. Among other results, it is shown that if <span>(Xin {mathscr{L}}({mathscr{H}}))</span> and <span>(f)</span>, <span>(g)</span> are two non-negative continuous functions defined on <span>([0,infty ))</span> such that <span>(f(t)g(t) = t,,(tgeqslant 0))</span>, then </p><div><div><span> $$begin{aligned} Vert XVert ^{2}_{sigma }leqslant textbf{ber}left (frac{1}{4}(f^{4}( vert Xvert )+g^{4}(vert X^{*}vert ))+frac{1}{2}vert Xvert ^{2} right ) end{aligned}$$ </span></div></div><p> and </p><div><div><span> $$begin{aligned} Vert XVert ^{2}_{sigma }leqslant frac{1}{2}sqrt{textbf{ber} left (f^{4}(vert Xvert )+g^{2}(vert Xvert ^{2})right ) textbf{ber}left (f^{2}(vert Xvert ^{2})+g^{4}(vert X^{*}vert ) right )}, end{aligned}$$ </span></div></div><p> where <span>(sigma )</span> is a mean dominated by the arithmetic mean <span>(nabla )</span>.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"192 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141523167","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

Dynamics for a Charge Transfer Model with Cross-Diffusion: Turing Instability of Periodic Solutions 具有交叉扩散的电荷转移模型的动力学：周期解的图灵不稳定性

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2024-07-01 DOI: 10.1007/s10440-024-00666-x

Gaihui Guo, Jing You, Xinhuan Du, Yanling Li

引用次数: 0

A New Parallel Algorithm for Solving a Class of Variational Inequalities 求解一类变分不等式的新并行算法

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2024-06-19 DOI: 10.1007/s10440-024-00665-y

Nguyen Song Ha, Truong Minh Tuyen, Phan Thi Van Huyen

引用次数: 0

Tumor Growth with a Necrotic Core as an Obstacle Problem in Pressure 带坏死核心的肿瘤生长是压力的一个障碍问题

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2024-06-07 DOI: 10.1007/s10440-024-00664-z

Xu’an Dou, Chengfeng Shen, Zhennan Zhou

引用次数: 0

Optimal Control for Biphasic Chemotaxis Model of Tumour Growth Under Chemotherapy 化疗条件下肿瘤生长的双相趋化模型的优化控制

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2024-06-05 DOI: 10.1007/s10440-024-00662-1

Sweta Sinha, Paramjeet Singh

{"title":"Optimal Control for Biphasic Chemotaxis Model of Tumour Growth Under Chemotherapy","authors":"Sweta Sinha, Paramjeet Singh","doi":"10.1007/s10440-024-00662-1","DOIUrl":"10.1007/s10440-024-00662-1","url":null,"abstract":"<div><p>Tumour growth is a complex process influenced by various factors, including cell proliferation, migration, and chemotaxis. In this study, a biphasic chemotaxis model for tumour growth is considered, and the effect of chemotherapy on the growth process is investigated. We use optimal control theory to derive the optimized treatment strategy that minimises the tumour size while minimising the toxicity associated with chemotherapy. Moreover, the existence, uniqueness, and strong solution estimates for the biphasic chemotaxis model subsystem in one dimension are derived. These results are achieved through semigroup theory and the truncation method. In addition, the research provides evidence of the existence of an optimal pair through the utilization of the minimising sequence technique. It also demonstrates the differentiability of the mapping from control variable to state variable and establishes the first-order necessary optimality condition. Lastly, a sequence of numerical simulations are presented to showcase the impact of chemotherapy and the influence of parameters in restraining tumour growth when applied in an optimized manner. Our results show that optimal control can provide a more effective and personalised treatment for cancer patients, and the approach can be extended to other tumour growth models.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"191 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10440-024-00662-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141253605","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

Well Posedness and Exponential Stability of a Porous Elastic System Free of Second Spectrum 无二次谱多孔弹性系统的良好假设性和指数稳定性

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2024-06-03 DOI: 10.1007/s10440-024-00661-2

Afaf Ahmima, Abdelfeteh Fareh, Salim A. Messaoudi

引用次数: 0

Asymptotic Expansion of the Solutions to a Regularized Boussinesq System (Theory and Numerics) 正则化布森斯克系统解的渐近展开（理论与数值学）

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2024-06-03 DOI: 10.1007/s10440-024-00660-3

Ahmad Safa, Hervé Le Meur, Jean-Paul Chehab, Raafat Talhouk

引用次数: 0

Spatio-Temporal Steady-State Analysis in a Prey-Predator Model with Saturated Hunting Cooperation and Chemotaxis 具有饱和狩猎合作和趋化作用的猎物-食肉动物模型的时空稳态分析

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2024-05-23 DOI: 10.1007/s10440-024-00658-x

Renji Han, Subrata Dey, Jicai Huang, Malay Banerjee

{"title":"Spatio-Temporal Steady-State Analysis in a Prey-Predator Model with Saturated Hunting Cooperation and Chemotaxis","authors":"Renji Han, Subrata Dey, Jicai Huang, Malay Banerjee","doi":"10.1007/s10440-024-00658-x","DOIUrl":"10.1007/s10440-024-00658-x","url":null,"abstract":"<div><p>In this paper, we propose a diffusive prey-predator model with saturated hunting cooperation and predator-taxis. We first establish the global classical solvability and boundedness, and provide some sufficient conditions to assure the existence of a unique positive homogeneous steady state and the global uniform asymptotic stability of the predator-free homogeneous steady state. Secondly, we study the pattern formation mechanism and reveal that pattern formation is driven by the joint effect of predator-taxis, hunting cooperation, and slow diffusivity of predators. Moreover, we find that a strong predator-taxis can annihilate the spatiotemporal patterns, but a weak predator-taxis supports the pattern formation when diffusion-driven instability is present in the model without predator-taxis. However, if diffusion-driven instability is absent, predator-taxis cannot destabilize the unique positive spatially homogeneous steady state. Additionally, we highlight that spatially heterogeneous steady states do not exist when the diffusion coefficient ratio of predators to prey is sufficiently large under specific parametric conditions. To explore the various types of spatially heterogeneous steady states, we derive amplitude equations based on the weakly nonlinear analysis theory. Finally, numerical simulations, including the hexagonal pattern, stripe pattern, a mixed pattern combining hexagons and stripes, and the square pattern, are presented to illustrate the theoretical results.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"191 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141105605","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 Bounds for Linear Complementarity Problems of Nekrasov and Generalized Nekrasov Matrices 涅克拉索夫矩阵和广义涅克拉索夫矩阵线性互补问题的误差界限

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2024-05-22 DOI: 10.1007/s10440-024-00659-w

Shiyun Wang, Dan Liu, Wanfu Tian, Zhen-Hua Lyu

引用次数: 0