首页 > 最新文献

Statistics, Optimization & Information Computing最新文献

英文 中文
Applications of Machine Learning Algorithms for Photovoltaic Fault Detection: a Review 机器学习算法在光伏故障检测中的应用综述
Pub Date : 2023-01-23 DOI: 10.19139/soic-2310-5070-1537
Abdelilah Et-taleby, Y. Chaibi, Mohamed Benslimane, M. Boussetta
Over the years, the boom of technology has caused the accumulation of a large amount of data, famously known as big data, in every field of life. Traditional methods have failed to analyse such a huge pile of data due to outdated techniques. In recent times, the use of photovoltaic systems has risen worldwide. The arena Photovoltaic (PV) system has witnessed the same unprecedented expansion of data owing to the associated monitoring systems. However, the faults created within the PV system cannot be detected, classified, or predicted by using conventional techniques. This necessitates the use of modern techniques such as Machine Learning. Its powerful algorithms, such as artificial neural networks (ANN), help in the accurate detection and classification of faults in the PV system. This review paper introduces and evaluates the applications of Machine Learning (ML) algorithms in PV fault detection. It provides a brief overview of Machine Learning and its concepts along with various widely used ML algorithms. This review various peer-reviewed studies to investigate various models of ML algorithms in the PV system with the main focus on its fault detection accuracy and efficiency.
多年来,科技的蓬勃发展,在生活的各个领域积累了大量的数据,即众所周知的大数据。由于技术落后,传统方法无法分析如此庞大的数据。近年来,光伏系统的使用在全球范围内有所增加。由于相关的监测系统,竞技场光伏(PV)系统也见证了同样前所未有的数据扩展。然而,传统技术无法检测、分类或预测光伏系统内产生的故障。这就需要使用机器学习等现代技术。其强大的算法,如人工神经网络(ANN),有助于准确检测和分类光伏系统中的故障。本文介绍并评价了机器学习算法在光伏故障检测中的应用。它提供了机器学习及其概念以及各种广泛使用的机器学习算法的简要概述。本文回顾了各种同行评议的研究,以研究PV系统中的各种ML算法模型,主要关注其故障检测的准确性和效率。
{"title":"Applications of Machine Learning Algorithms for Photovoltaic Fault Detection: a Review","authors":"Abdelilah Et-taleby, Y. Chaibi, Mohamed Benslimane, M. Boussetta","doi":"10.19139/soic-2310-5070-1537","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1537","url":null,"abstract":"Over the years, the boom of technology has caused the accumulation of a large amount of data, famously known as big data, in every field of life. Traditional methods have failed to analyse such a huge pile of data due to outdated techniques. In recent times, the use of photovoltaic systems has risen worldwide. The arena Photovoltaic (PV) system has witnessed the same unprecedented expansion of data owing to the associated monitoring systems. However, the faults created within the PV system cannot be detected, classified, or predicted by using conventional techniques. This necessitates the use of modern techniques such as Machine Learning. Its powerful algorithms, such as artificial neural networks (ANN), help in the accurate detection and classification of faults in the PV system. This review paper introduces and evaluates the applications of Machine Learning (ML) algorithms in PV fault detection. It provides a brief overview of Machine Learning and its concepts along with various widely used ML algorithms. This review various peer-reviewed studies to investigate various models of ML algorithms in the PV system with the main focus on its fault detection accuracy and efficiency.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116875701","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Grey Median Problem and Vertex Optimality 灰色中值问题与顶点最优性
Pub Date : 2023-01-18 DOI: 10.19139/soic-2310-5070-1527
J. Fathali
The median problem is a basic model in location theory and transportation sciences. This problem deals with locating a facility on a network, to minimize the sum of weighted distances between the facility and the vertices of the network. In this paper, the cases that weights of vertices, edge lengths or both of them are grey numbers, are considered. For all these cases, we show that the set of vertices of network contains a solution of the median problem. This property is called vertex optimality. Median problem with grey parameters and its properties are first considered in this paper.
中值问题是区位理论和交通科学中的一个基本模型。这个问题处理的是在网络上定位一个设施,以最小化设施和网络顶点之间的加权距离之和。本文考虑了顶点权值为灰数、边长为灰数或两者都为灰数的情况。对于所有这些情况,我们证明了网络的顶点集包含了中位数问题的一个解。这个特性被称为顶点最优性。本文首先研究了带灰色参数的中值问题及其性质。
{"title":"Grey Median Problem and Vertex Optimality","authors":"J. Fathali","doi":"10.19139/soic-2310-5070-1527","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1527","url":null,"abstract":"The median problem is a basic model in location theory and transportation sciences. This problem deals with locating a facility on a network, to minimize the sum of weighted distances between the facility and the vertices of the network. In this paper, the cases that weights of vertices, edge lengths or both of them are grey numbers, are considered. For all these cases, we show that the set of vertices of network contains a solution of the median problem. This property is called vertex optimality. Median problem with grey parameters and its properties are first considered in this paper.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"84 Pt 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129032764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
D- And A- Optimal Orthogonally Blocked Mixture Component-Amount Designs via Projections D-和A-最优正交阻塞混合成分量的投影设计
Pub Date : 2023-01-18 DOI: 10.19139/soic-2310-5070-591
Bushra Husain, Afrah Hafeez
Mixture experiments are usually designed to study the effects on the response by changing the relative proportions of the mixture ingredients. This is usually achieved by keeping the total amount fixed but in many practical applications such as medicine or biology, not only are the proportions of mixture ingredients involved but also their total amount is of particular interest. Such experiments are called mixture amount experiments. In such experiments, the usual constraint on the mixture proportions that they should sum to unity is relaxed. The optimality of the design strictly depends on the nature of the underlying model. In this paper, we have obtained D- and A- optimal orthogonally blocked mixture component-amount designs in two and three ingredients via projections based on the reduced cubic canonical model presented by Husain and Sharma [7] and the additive quadratic mixture model proposed by Husain and Parveen [3], respectively.
通常设计混合实验来研究通过改变混合成分的相对比例对响应的影响。这通常是通过保持总量固定来实现的,但在许多实际应用中,如医学或生物学,不仅涉及混合成分的比例,而且还涉及它们的总量。这样的实验称为混合物量实验。在这样的实验中,通常对混合比例的限制,即它们应该之和为一,被放宽了。设计的最优性严格依赖于底层模型的性质。本文分别基于Husain和Sharma[7]提出的简化三次正则模型和Husain和Parveen[3]提出的可加二次混合模型,通过投影得到了两种和三种原料正交阻塞混合组分量的D-和A-最优设计。
{"title":"D- And A- Optimal Orthogonally Blocked Mixture Component-Amount Designs via Projections","authors":"Bushra Husain, Afrah Hafeez","doi":"10.19139/soic-2310-5070-591","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-591","url":null,"abstract":"Mixture experiments are usually designed to study the effects on the response by changing the relative proportions of the mixture ingredients. This is usually achieved by keeping the total amount fixed but in many practical applications such as medicine or biology, not only are the proportions of mixture ingredients involved but also their total amount is of particular interest. Such experiments are called mixture amount experiments. In such experiments, the usual constraint on the mixture proportions that they should sum to unity is relaxed. The optimality of the design strictly depends on the nature of the underlying model. In this paper, we have obtained D- and A- optimal orthogonally blocked mixture component-amount designs in two and three ingredients via projections based on the reduced cubic canonical model presented by Husain and Sharma [7] and the additive quadratic mixture model proposed by Husain and Parveen [3], respectively.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129815748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Semi-infinite Mathematical Programming Problems involving Generalized Convexity 涉及广义凸性的半无限数学规划问题
Pub Date : 2023-01-14 DOI: 10.19139/soic-2310-5070-881
B. Joshi
In this paper, we consider semi-infinite mathematical programming problems withequilibrium constraints (SIMPEC). By using the notion of convexificators, we establish sufficient optimality conditions for the SIMPEC. We formulate Wolfe and Mond-Weir type dual models for the SIMPEC under generalized convexity assumptions. Moreover, weak and strong duality theorems are established to relate the SIMPEC and two dual programs in the framework of convexificators.
本文研究具有平衡约束的半无限数学规划问题。利用凸化子的概念,建立了SIMPEC的充分最优性条件。在广义凸性假设下,建立了SIMPEC的Wolfe型和Mond-Weir型对偶模型。在凸化子的框架下,建立了SIMPEC与两个对偶规划的弱对偶定理和强对偶定理。
{"title":"Semi-infinite Mathematical Programming Problems involving Generalized Convexity","authors":"B. Joshi","doi":"10.19139/soic-2310-5070-881","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-881","url":null,"abstract":"In this paper, we consider semi-infinite mathematical programming problems withequilibrium constraints (SIMPEC). By using the notion of convexificators, we establish sufficient optimality conditions for the SIMPEC. We formulate Wolfe and Mond-Weir type dual models for the SIMPEC under generalized convexity assumptions. Moreover, weak and strong duality theorems are established to relate the SIMPEC and two dual programs in the framework of convexificators.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"118 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134222158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 Two-Sided Class of Lifetime Distributions: Applications to Complete and Right Censored Data 一种新的双面寿命分布:对删减数据进行补全和正确处理的应用
Pub Date : 2023-01-14 DOI: 10.19139/soic-2310-5070-1286
O. Kharazmi, F. J. Paghale, A. S. Nik, S. Dey, M. Alizadeh
In this article, we first define a new two-sided distribution called the two-sided Kumaraswamy distribution and then we propose a generalized class of lifetime distributions via compounding two-sided Kumaraswamy and a baseline distribution. One of the advantages of this class of new distributions is that they can be unimodal or bimodal. The general model is specified by taking the exponential distribution as the baseline distribution. Some basic properties of the proposed distribution are derived. The model parameters are estimated by means of maximum likelihood method. In addition, parametric and non-parametric bootstrap procedures are used to obtain point estimates and confidence intervals of the parameters of the model. A simulation study has been conducted to examine the bias and the mean square error of the maximum likelihood estimators. We illustrate the performance of the proposed distribution by means of two real data sets (one is complete data set and other is right censored data set) and both the data sets show that the new distribution is more appropriate as compared to Weibull, gamma, weighted exponential, generalized two-sided exponential, generalized transmuted two-sided exponential and generalized exponential distributions.
在本文中,我们首先定义了一个新的双侧分布,称为双侧Kumaraswamy分布,然后通过复合双侧Kumaraswamy分布和基线分布,提出了一类广义的寿命分布。这类新分布的优点之一是它们可以是单峰的,也可以是双峰的。一般模型以指数分布作为基线分布。推导了该分布的一些基本性质。采用极大似然法对模型参数进行估计。此外,使用参数和非参数bootstrap程序来获得模型参数的点估计和置信区间。对最大似然估计量的偏差和均方误差进行了仿真研究。我们通过两个真实数据集(一个是完全数据集,另一个是右截尾数据集)来说明所提出的分布的性能,两个数据集都表明,与威布尔分布、伽马分布、加权指数分布、广义双边指数分布、广义变形双边指数分布和广义指数分布相比,新分布更合适。
{"title":"A New Two-Sided Class of Lifetime Distributions: Applications to Complete and Right Censored Data","authors":"O. Kharazmi, F. J. Paghale, A. S. Nik, S. Dey, M. Alizadeh","doi":"10.19139/soic-2310-5070-1286","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1286","url":null,"abstract":"In this article, we first define a new two-sided distribution called the two-sided Kumaraswamy distribution and then we propose a generalized class of lifetime distributions via compounding two-sided Kumaraswamy and a baseline distribution. One of the advantages of this class of new distributions is that they can be unimodal or bimodal. The general model is specified by taking the exponential distribution as the baseline distribution. Some basic properties of the proposed distribution are derived. The model parameters are estimated by means of maximum likelihood method. In addition, parametric and non-parametric bootstrap procedures are used to obtain point estimates and confidence intervals of the parameters of the model. A simulation study has been conducted to examine the bias and the mean square error of the maximum likelihood estimators. We illustrate the performance of the proposed distribution by means of two real data sets (one is complete data set and other is right censored data set) and both the data sets show that the new distribution is more appropriate as compared to Weibull, gamma, weighted exponential, generalized two-sided exponential, generalized transmuted two-sided exponential and generalized exponential distributions.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116774067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
An improved hybrid defuzzification method for fuzzy controllers 一种改进的模糊控制器混合去模糊化方法
Pub Date : 2023-01-09 DOI: 10.19139/soic-2310-5070-1706
M. Nachaoui, A. Nachaoui, R. Shikhlinskaya, Abdelali Elmoufidi
This paper deals with fuzzy logic controllers. Our interest is in studying different techniques of defuzzification methods. In particular, we propose a generalization of the WABL method to the multiple output system controller. We give a numerical realization, and we show the advantages of this method compared to other defuzzification methods (MOM, COG, WAF,ldots) through an application for intelligent control of air conditioners.
本文主要研究模糊逻辑控制器。我们的兴趣在于研究不同的去模糊化方法。特别地,我们提出了将WABL方法推广到多输出系统控制器的方法。最后给出了数值实现,并通过在空调智能控制中的应用,说明了该方法与其它去模糊化方法(MOM、COG、WAF、ldots)相比的优势。
{"title":"An improved hybrid defuzzification method for fuzzy controllers","authors":"M. Nachaoui, A. Nachaoui, R. Shikhlinskaya, Abdelali Elmoufidi","doi":"10.19139/soic-2310-5070-1706","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1706","url":null,"abstract":"This paper deals with fuzzy logic controllers. Our interest is in studying different techniques of defuzzification methods. In particular, we propose a generalization of the WABL method to the multiple output system controller. We give a numerical realization, and we show the advantages of this method compared to other defuzzification methods (MOM, COG, WAF,ldots) through an application for intelligent control of air conditioners.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115143635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
An accelerated alternating iterative algorithm for data completion problems connected with Helmholtz equation 亥姆霍兹方程数据补全问题的加速交替迭代算法
Pub Date : 2023-01-09 DOI: 10.19139/soic-2310-5070-1702
Karzan A. Berdawood, A. Nachaoui, M. Nachaoui
This paper deals with an inverse problem governed by the Helmholtz equation. It consists in recovering lackingdata on a part of the boundary based on the Cauchy data on the other part. We propose an optimal choice of the relaxationparameter calculated dynamically at each iteration. This choice of relaxation parameter ensures convergence without priordetermination of the interval of the relaxation factor required in our previous work. The numerous numerical example showsthat the number of iterations is drastically reduced and thus, our new relaxed algorithm guarantees the convergence for allwavenumber k and gives an automatic acceleration without any intervention of the user.
本文研究了一个由亥姆霍兹方程控制的逆问题。它包括在边界的另一部分的柯西数据的基础上恢复缺失数据的一部分。我们提出了在每次迭代时动态计算松弛参数的最优选择。这种松弛参数的选择保证了收敛性,而无需事先确定我们先前工作中所需的松弛因子的间隔。大量的数值实例表明,迭代次数大大减少,因此,我们的新松弛算法保证了所有波数k的收敛性,并在没有任何用户干预的情况下给出了自动加速。
{"title":"An accelerated alternating iterative algorithm for data completion problems connected with Helmholtz equation","authors":"Karzan A. Berdawood, A. Nachaoui, M. Nachaoui","doi":"10.19139/soic-2310-5070-1702","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1702","url":null,"abstract":"This paper deals with an inverse problem governed by the Helmholtz equation. It consists in recovering lackingdata on a part of the boundary based on the Cauchy data on the other part. We propose an optimal choice of the relaxationparameter calculated dynamically at each iteration. This choice of relaxation parameter ensures convergence without priordetermination of the interval of the relaxation factor required in our previous work. The numerous numerical example showsthat the number of iterations is drastically reduced and thus, our new relaxed algorithm guarantees the convergence for allwavenumber k and gives an automatic acceleration without any intervention of the user.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133697478","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Special Issue: Recent Developments of Optimization and Computational Mathematics 特刊:优化与计算数学的最新发展
Pub Date : 2023-01-09 DOI: 10.19139/soic-2310-5070-1741
A. Laghrib, L. Afraites, M. Nachaoui, A. Ghazdali
The evolution of mathematics gave rise to several new fields, among them we can find Data Science and someapplications to mathematics and computer science. Recently, Data science is considered as a dynamic and attractive research area with numerous usability in other scientific fields, such as: Machine Learning, Data Mining and computer science, especially in Image Processing. For that and to closely follow the evolution of Data Science using recent mathematical tools, we propose this special issue which contains a number of papers on various mathematical tools, optimization and their applications. This special issue contains carefully selected articles from the first edition of the conference ``International Conference on New Trends of Applied Mathematics (ICNTAM)”, which is held at B'{e}ni Mellal, Morocco from 19 to 21 May 2022.
数学的发展产生了几个新的领域,其中我们可以找到数据科学以及数学和计算机科学的一些应用。最近,数据科学被认为是一个充满活力和吸引力的研究领域,在其他科学领域具有许多可用性,例如:机器学习,数据挖掘和计算机科学,特别是在图像处理方面。为此,并密切关注数据科学使用最新数学工具的发展,我们提出这一期特刊,其中包含一些关于各种数学工具,优化及其应用的论文。本期特刊精选自2022年5月19日至21日在摩洛哥贝尼梅拉尔举行的“应用数学新趋势国际会议”(ICNTAM)第一版的文章。
{"title":"Special Issue: Recent Developments of Optimization and Computational Mathematics","authors":"A. Laghrib, L. Afraites, M. Nachaoui, A. Ghazdali","doi":"10.19139/soic-2310-5070-1741","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1741","url":null,"abstract":"The evolution of mathematics gave rise to several new fields, among them we can find Data Science and someapplications to mathematics and computer science. Recently, Data science is considered as a dynamic and attractive research area with numerous usability in other scientific fields, such as: Machine Learning, Data Mining and computer science, especially in Image Processing. For that and to closely follow the evolution of Data Science using recent mathematical tools, we propose this special issue which contains a number of papers on various mathematical tools, optimization and their applications. This special issue contains carefully selected articles from the first edition of the conference ``International Conference on New Trends of Applied Mathematics (ICNTAM)”, which is held at B'{e}ni Mellal, Morocco from 19 to 21 May 2022.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"12 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122378935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence and blow up of solutions for a class of parabolic problems with dynamical boundary condition 一类具有动态边界条件的抛物型问题解的存在性和爆破性
Pub Date : 2023-01-09 DOI: 10.19139/soic-2310-5070-1701
Anass Lamaizi, A. Zerouali, O. Chakrone, B. Karim
In this paper, we study weak solutions for a class of parabolic problems with dynamical boundary condition.We establish the existence of a weak solution to the corresponding Dynamical problem. Moreover, we will show that the existence time T of solution is finite when the initial energy satisfies certain condition.
本文研究了一类具有动态边界条件的抛物型问题的弱解。建立了相应动力学问题弱解的存在性。此外,我们将证明当初始能量满足一定条件时,解的存在时间T是有限的。
{"title":"Existence and blow up of solutions for a class of parabolic problems with dynamical boundary condition","authors":"Anass Lamaizi, A. Zerouali, O. Chakrone, B. Karim","doi":"10.19139/soic-2310-5070-1701","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1701","url":null,"abstract":"In this paper, we study weak solutions for a class of parabolic problems with dynamical boundary condition.We establish the existence of a weak solution to the corresponding Dynamical problem. Moreover, we will show that the existence time T of solution is finite when the initial energy satisfies certain condition.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132317172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mixed convection of a MHD oscillatory laminar flow of a nanofluid (Gold-Kerosene oil) in a vertical channel 纳米流体(金-煤油)在垂直通道中MHD振荡层流的混合对流
Pub Date : 2023-01-09 DOI: 10.19139/soic-2310-5070-1725
W. Bentoto, M. Zaydan, H. Amini Alaoui, E. Essaghir, R. Sehaqui
Analytical study of mixed convection of an oscillating laminar flow of nanofluid (Gold-Kerosene Oil) throughthe vertical channel in the presence of a magnetic field has been investigated in this article. Assuming that the nanofluid electrically driven due to the magnetic field applied to the transverse direction of the flow and the sides of the channel are subject to thermal radiative flux and high temperature, a system of equations expressing momentum, energy, and concentration has been considered under these assumptions. Using the non-dimension variables technique, the system is transformed into differential equations, which are solved analytically by the perturbation method. The velocity and temperature profiles are plotted. Furthermore. The obtained results indicate that the nanofluids have a clear influence on the velocity and temperature behavior. Moreover, the presence of thermal radiation improves the heat transfer rate.
本文对纳米流体(金-煤油)在有磁场作用下通过垂直通道的振荡层流混合对流进行了分析研究。假设由于施加在流动的横向和通道两侧的磁场而被电驱动的纳米流体受到热辐射通量和高温的影响,在这些假设下考虑了表示动量,能量和浓度的方程组。利用无量纲变量技术,将系统转化为微分方程,用摄动法解析求解。绘制了速度和温度分布图。此外。结果表明,纳米流体对速度和温度行为有明显的影响。此外,热辐射的存在提高了传热速率。
{"title":"Mixed convection of a MHD oscillatory laminar flow of a nanofluid (Gold-Kerosene oil) in a vertical channel","authors":"W. Bentoto, M. Zaydan, H. Amini Alaoui, E. Essaghir, R. Sehaqui","doi":"10.19139/soic-2310-5070-1725","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1725","url":null,"abstract":"Analytical study of mixed convection of an oscillating laminar flow of nanofluid (Gold-Kerosene Oil) throughthe vertical channel in the presence of a magnetic field has been investigated in this article. Assuming that the nanofluid electrically driven due to the magnetic field applied to the transverse direction of the flow and the sides of the channel are subject to thermal radiative flux and high temperature, a system of equations expressing momentum, energy, and concentration has been considered under these assumptions. Using the non-dimension variables technique, the system is transformed into differential equations, which are solved analytically by the perturbation method. The velocity and temperature profiles are plotted. Furthermore. The obtained results indicate that the nanofluids have a clear influence on the velocity and temperature behavior. Moreover, the presence of thermal radiation improves the heat transfer rate.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130137222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
Statistics, Optimization & Information Computing
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
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
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1