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Applications of Mathematics最新文献

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Existence and uniqueness for a two-dimensional Ventcel problem modeling the equilibrium of a prestressed membrane 模拟预应力膜平衡的二维Ventcel问题的存在唯一性
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2022-01-26 DOI: 10.21136/AM.2022.0095-21
Antonio Greco, Giuseppe Viglialoro
{"title":"Existence and uniqueness for a two-dimensional Ventcel problem modeling the equilibrium of a prestressed membrane","authors":"Antonio Greco,&nbsp;Giuseppe Viglialoro","doi":"10.21136/AM.2022.0095-21","DOIUrl":"10.21136/AM.2022.0095-21","url":null,"abstract":"<div><p>This paper deals with a mixed boundary-value problem of Ventcel type in two variables. The peculiarity of the Ventcel problem lies in the fact that one of the boundary conditions involves second order differentiation along the boundary. Under suitable assumptions on the data, we first give the definition of a weak solution, and then we prove that the problem is uniquely solvable. We also consider a particular case arising in real-world applications and discuss the resulting model.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50047681","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
Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure 具有测度的时滞Cohen-Grosberg神经网络伪几乎自同构解的全局指数稳定性
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2022-01-25 DOI: 10.21136/AM.2022.0201-20
Chaouki Aouiti, Hediene Jallouli, Mohsen Miraoui
{"title":"Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure","authors":"Chaouki Aouiti,&nbsp;Hediene Jallouli,&nbsp;Mohsen Miraoui","doi":"10.21136/AM.2022.0201-20","DOIUrl":"10.21136/AM.2022.0201-20","url":null,"abstract":"<div><p>We investigate the Cohen-Grosberg differential equations with mixed delays and time-varying coefficient: Several useful results on the functional space of such functions like completeness and composition theorems are established. By using the fixed-point theorem and some properties of the doubly measure pseudo almost automorphic functions, a set of sufficient criteria are established to ensure the existence, uniqueness and global exponential stability of a (<i>μ, ν</i>)-pseudo almost automorphic solution. The theory of this work generalizes the classical results on weighted pseudo almost automorphic functions. Finally, a numerical example is provided to illustrate the validity of the proposed theoretical results.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50047014","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
Spectral discretization of Darcy equations coupled with navier-stokes equations by vorticity-velocity-pressure formulation 用涡度-速度-压力公式对Darcy方程与navier-stokes方程耦合的谱离散化
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2022-01-10 DOI: 10.21136/AM.2022.0372-20
Yassine Mabrouki, Jamil Satouri
{"title":"Spectral discretization of Darcy equations coupled with navier-stokes equations by vorticity-velocity-pressure formulation","authors":"Yassine Mabrouki,&nbsp;Jamil Satouri","doi":"10.21136/AM.2022.0372-20","DOIUrl":"10.21136/AM.2022.0372-20","url":null,"abstract":"<div><p>We consider a model coupling the Darcy equations in a porous medium with the Navier-Stokes equations in the cracks, for which the coupling is provided by the pressure’s continuity on the interface. We discretize the coupled problem by the spectral element method combined with a nonoverlapping domain decomposition method. We prove the existence of solution for the discrete problem and establish an error estimation. We conclude with some numerical tests confirming the results of our analysis.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50037997","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
Modified golden ratio algorithms for pseudomonotone equilibrium problems and variational inequalities 伪单调平衡问题和变分不等式的修正黄金比例算法
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2021-12-20 DOI: 10.21136/AM.2021.0180-20
Lulu Yin, Hongwei Liu, Jun Yang
{"title":"Modified golden ratio algorithms for pseudomonotone equilibrium problems and variational inequalities","authors":"Lulu Yin,&nbsp;Hongwei Liu,&nbsp;Jun Yang","doi":"10.21136/AM.2021.0180-20","DOIUrl":"10.21136/AM.2021.0180-20","url":null,"abstract":"<div><p>We propose a modification of the golden ratio algorithm for solving pseudomonotone equilibrium problems with a Lipschitz-type condition in Hilbert spaces. A new non-monotone stepsize rule is used in the method. Without such an additional condition, the theorem of weak convergence is proved. Furthermore, with strongly pseudomonotone condition, the <i>R</i>-linear convergence rate of the method is established. The results obtained are applied to a variational inequality problem, and the convergence rate of the problem under the condition of error bound is considered. Finally, numerical experiments on several specific problems and comparison with other algorithms show the superiority of the algorithm.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50038827","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
Smoothing functions and algorithm for nonsymmetric circular cone complementarity problems 非对称圆锥互补问题的光滑函数与算法
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2021-12-07 DOI: 10.21136/AM.2021.0129-20
Jingyong Tang, Yuefen Chen
{"title":"Smoothing functions and algorithm for nonsymmetric circular cone complementarity problems","authors":"Jingyong Tang,&nbsp;Yuefen Chen","doi":"10.21136/AM.2021.0129-20","DOIUrl":"10.21136/AM.2021.0129-20","url":null,"abstract":"<div><p>There has been much interest in studying symmetric cone complementarity problems. In this paper, we study the circular cone complementarity problem (denoted by CCCP) which is a type of nonsymmetric cone complementarity problem. We first construct two smoothing functions for the CCCP and show that they are all coercive and strong semismooth. Then we propose a smoothing algorithm to solve the CCCP. The proposed algorithm generates an infinite sequence such that the value of the merit function converges to zero. Moreover, we show that the iteration sequence must be bounded if the solution set of the CCCP is nonempty and bounded. At last, we prove that the proposed algorithm has local superlinear or quadratical convergence under some assumptions which are much weaker than Jacobian nonsingularity assumption. Some numerical results are reported which demonstrate that our algorithm is very effective for solving CCCPs.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.21136/AM.2021.0129-20.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50012147","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
On the Navier-Stokes equations with anisotropic wall slip conditions 具有各向异性壁滑移条件的Navier-Stokes方程
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2021-11-30 DOI: 10.21136/AM.2021.0079-21
Christiaan Le Roux
{"title":"On the Navier-Stokes equations with anisotropic wall slip conditions","authors":"Christiaan Le Roux","doi":"10.21136/AM.2021.0079-21","DOIUrl":"10.21136/AM.2021.0079-21","url":null,"abstract":"<div><p>This article deals with the solvability of the boundary-value problem for the Navier-Stokes equations with a direction-dependent Navier type slip boundary condition in a bounded domain. Such problems arise when steady flows of fluids in domains with rough boundaries are approximated as flows in domains with smooth boundaries. It is proved by means of the Galerkin method that the boundary-value problem has a unique weak solution when the body force and the variability of the surface friction are sufficiently small compared to the viscosity and the surface friction.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50056051","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
Remarks on the a priori bound for the vorticity of the axisymmetric Navier-Stokes equations 轴对称Navier-Stokes方程涡度的先验界的注释
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2021-11-22 DOI: 10.21136/AM.2021.0344-20
Zujin Zhang, Chenxuan Tong
{"title":"Remarks on the a priori bound for the vorticity of the axisymmetric Navier-Stokes equations","authors":"Zujin Zhang,&nbsp;Chenxuan Tong","doi":"10.21136/AM.2021.0344-20","DOIUrl":"10.21136/AM.2021.0344-20","url":null,"abstract":"<div><p>We study the axisymmetric Navier-Stokes equations. In 2010, Loftus-Zhang used a refined test function and re-scaling scheme, and showed that </p><div><div><span>$$left| {{omega ^r}(x,t)} right| + left| {{omega ^z}(r,t)} right| leqslant {C over {{r^{10}}}},,,,,,0 &lt; r leqslant {1 over 2}.$$</span></div></div><p> By employing the dimension reduction technique by Lei-Navas-Zhang, and analyzing <i>ω</i><sup><i>r</i></sup>, <i>ω</i><sup><i>z</i></sup> and <i>ω</i><sup><i>θ</i></sup>/<i>r</i> on different hollow cylinders, we are able to improve it and obtain </p><div><div><span>$$left| {{omega ^r}(x,t)} right| + left| {{omega ^z}(r,t)} right| leqslant {{Cleft| {ln ,r} right|} over {{r^{17/2}}}},,,,,,0 &lt; r leqslant {1 over 2}.$$</span></div></div></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.21136/AM.2021.0344-20.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50042697","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
A framework to combine vector-valued metrics into a scalar-metric: Application to data comparison 将向量值度量组合为标量度量的框架:用于数据比较的应用
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2021-11-22 DOI: 10.21136/AM.2021.0090-21
Gemma Piella
{"title":"A framework to combine vector-valued metrics into a scalar-metric: Application to data comparison","authors":"Gemma Piella","doi":"10.21136/AM.2021.0090-21","DOIUrl":"10.21136/AM.2021.0090-21","url":null,"abstract":"<div><p>Distance metrics are at the core of many processing and machine learning algorithms. In many contexts, it is useful to compute the distance between data using multiple criteria. This naturally leads to consider vector-valued metrics, in which the distance is no longer a real positive number but a vector. In this paper, we propose a principled way to combine several metrics into either a scalar-valued or vector-valued metric. We illustrate our framework by reformulating the popular structural similarity (SSIM) index and a simple case of the Wasserstein distance used for optimal transport.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50042204","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 new optimized iterative method for solving M-matrix linear systems 求解m矩阵线性系统的一种新的优化迭代方法
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2021-11-22 DOI: 10.21136/AM.2021.0246-20
Alireza Fakharzadeh Jahromi, Nafiseh Nasseri Shams
{"title":"A new optimized iterative method for solving M-matrix linear systems","authors":"Alireza Fakharzadeh Jahromi,&nbsp;Nafiseh Nasseri Shams","doi":"10.21136/AM.2021.0246-20","DOIUrl":"10.21136/AM.2021.0246-20","url":null,"abstract":"<div><p>In this paper, we present a new iterative method for solving a linear system, whose coefficient matrix is an <i>M</i>-matrix. This method includes four parameters that are obtained by the accelerated overrelaxation (AOR) splitting and using the Taylor approximation. First, under some standard assumptions, we establish the convergence properties of the new method. Then, by minimizing the Frobenius norm of the iteration matrix, we find the optimal parameters. Meanwhile, numerical results on test examples show the efficiency of the new proposed method in contrast with the Hermitian and skew-Hermitian splitting (HSS), AOR methods and a modified version of the AOR (QAOR) iteration.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50042698","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
Determination of the initial stress tensor from deformation of underground opening in excavation process 地下巷道开挖过程中变形初始应力张量的确定
IF 0.7 4区 数学
Applications of Mathematics Pub Date : 2021-11-16 DOI: 10.21136/AM.2021.0266-20
Josef Malík, Alexej Kolcun
{"title":"Determination of the initial stress tensor from deformation of underground opening in excavation process","authors":"Josef Malík,&nbsp;Alexej Kolcun","doi":"10.21136/AM.2021.0266-20","DOIUrl":"10.21136/AM.2021.0266-20","url":null,"abstract":"<div><p>A method for the detection of the initial stress tensor is proposed. The method is based on measuring distances between pairs of points located on the wall of underground opening in the excavation process. This methods is based on solving twelve auxiliary problems in the theory of elasticity with force boundary conditions, which is done using the least squares method. The optimal location of the pairs of points on the wall of underground openings is studied. The pairs must be located so that the condition number of the least square matrix has the minimal value, which guarantees a reliable estimation of initial stress tensor.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.21136/AM.2021.0266-20.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50061365","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
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