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Thermal Diffusion Effect on MHD Heat and Mass Transfer Flow past a Semi Infinite Moving Vertical Porous Plate with Heat Generation and Chemical Reaction 被引量:1
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作者 Gurivireddy P. Raju M. C. +1 位作者 Mamatha B. Varma S. V. K. 《Applied Mathematics》 2016年第7期638-649,共12页
The objective of present work is to study the thermo diffusion effect on an unsteady simultaneous convective heat and mass transfer flow of an incompressible, electrically conducting, heat generating/absorbing fluid a... The objective of present work is to study the thermo diffusion effect on an unsteady simultaneous convective heat and mass transfer flow of an incompressible, electrically conducting, heat generating/absorbing fluid along a semi-infinite moving porous plate embedded in a porous medium with the presence of pressure gradient, thermal radiation field and chemical reaction. It is assumed that the permeable plate is embedded in a uniform porous medium and moves with a constant velocity in the flow direction in the presence of a transverse magnetic field. It is also assumed that the free stream consists of a mean velocity, temperature and concentration over which are super imposed an exponentially varying with time. The equations of continuity, momentum, energy and diffusion, which govern the flow field, are solved by using a regular perturbation method. The behavior of the velocity, temperature, concentration, Skin-friction, rate of heat transfer and rate of mass transfer has been discussed for variations in the physical parameters. An increase in both Pr and R results a decrease in thermal boundary layer thickness. However, concentration decreases as Kr, Sc increase but it increases with an increase in both So and δ. 展开更多
关键词 Heat generation/Absorption Chemical Reaction MHD Thermal Radiation Thermal Diffusion Heat and Mass Transfer semi-infinite Vertical Plate
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The Optimality Conditions for Multiobjective Semi-infinite Programming Involving Generalized Unified (C, α, p, d)-convexity
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作者 ZHANG Qing-xiang ZHANG Yong-zhan 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第2期241-249,共9页
The definition of generalized unified (C, α, ρ, d)-convex function is given. The concepts of generalized unified (C, α, ρ, d)-quasiconvexity, generalized unified (C, α, ρ, d)-pseudoconvexity and generalized unif... The definition of generalized unified (C, α, ρ, d)-convex function is given. The concepts of generalized unified (C, α, ρ, d)-quasiconvexity, generalized unified (C, α, ρ, d)-pseudoconvexity and generalized unified (C, α, ρ, d)-strictly pseudoconvex functions are presented. The sufficient optimality conditions for multiobjective nonsmooth semi-infinite programming are obtained involving these generalized convexity lastly. 展开更多
关键词 generalized convexity multiobjective semi-infinite programming efficient solution optimality conditions
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A Problem of a Semi-Infinite Medium Subjected to Exponential Heating Using a Dual-Phase-Lag Thermoelastic Model 被引量:2
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作者 Ahmed E. Abouelregal 《Applied Mathematics》 2011年第5期619-624,共6页
The problem of a semi-infinite medium subjected to thermal shock on its plane boundary is solved in the context of the dual-phase-lag thermoelastic model. The expressions for temperature, displacement and stress are p... The problem of a semi-infinite medium subjected to thermal shock on its plane boundary is solved in the context of the dual-phase-lag thermoelastic model. The expressions for temperature, displacement and stress are presented. The governing equations are expressed in Laplace transform domain and solved in that domain. The solution of the problem in the physical domain is obtained by using a numerical method for the inversion of the Laplace transforms based on Fourier series expansions. The numerical estimates of the displacement, temperature, stress and strain are obtained for a hypothetical material. The results obtained are presented graphically to show the effect phase-lag of the heat flux and a phase-lag of temperature gradient on displacement, temperature, stress. 展开更多
关键词 generalized THERMOELASTICITY Dual-Phase-Lag Model semi-infinite MEDIUM LAPLACE Transform
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Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-Invex Functions 被引量:4
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作者 G.J.Zalmai 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2007年第3期353-376,共24页
A semi-infinite programming problem is a mathematical programming problem with a finite number of variables and infinitely many constraints. Duality theories and generalized convexity concepts are important research t... A semi-infinite programming problem is a mathematical programming problem with a finite number of variables and infinitely many constraints. Duality theories and generalized convexity concepts are important research topics in mathematical programming. In this paper, we discuss a fairly large number of paramet- ric duality results under various generalized (η,ρ)-invexity assumptions for a semi-infinite minmax fractional programming problem. 展开更多
关键词 semi-infinite programming discrete minmax fractional programming generalized invex functions infinitely many equality and inequality constraints parametric duality models duality theorems
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Global Parametric Sufficient Optimality Conditions for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-invex Functions 被引量:1
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作者 G.J.Zalmai 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2007年第2期217-234,共18页
In this paper, we discuss a large number of sets of global parametric sufficient optimality conditions under various generalized (η,ρ)-invexity assumptions for a semi-infinite minmax fractional programming problem.
关键词 semi-infinite programming discrete minmax fractional programming generalized invex functions infinitely many equality and inequality constraints sufficient optimality conditions
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Existence results for generalized vector equilibrium problems with applications
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作者 杨明歌 黄南京 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第7期913-924,共12页
By a coincidence theorem, some existence theorems of solutions are proved for four types of generalized vector equilibrium problems with moving cones. Applications to the generalized semi-infinite programs with the ge... By a coincidence theorem, some existence theorems of solutions are proved for four types of generalized vector equilibrium problems with moving cones. Applications to the generalized semi-infinite programs with the generalized vector equilibrium constraints under the mild conditions are also given. The results of this paper unify and improve the corresponding results in the previous literature. 展开更多
关键词 generalized vector equilibrium problem generalized semi-infinite program abstract convex space -map
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An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite-Gauss nodes
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作者 Ali Pirkhedri Parisa Daneshjoo +3 位作者 Hamid Haj Seyyed Javadi Hamid Navidi Salem Khodamoradi Kamal Ghaderi 《International Journal of Astronomy and Astrophysics》 2011年第2期67-72,共6页
In this paper we propose a collocation method for solving Lane-Emden type equation which is nonlinear or-dinary differential equation on the semi-infinite domain. This equation is categorized as singular initial value... In this paper we propose a collocation method for solving Lane-Emden type equation which is nonlinear or-dinary differential equation on the semi-infinite domain. This equation is categorized as singular initial value problems. We solve this equation by the generalized Laguerre polynomial collocation method based on Her-mite-Gauss nodes. This method solves the problem on the semi-infinite domain without truncating it to a fi-nite domain and transforming domain of the problem to a finite domain. In addition, this method reduces so-lution of the problem to solution of a system of algebraic equations. 展开更多
关键词 Lane-Emden equation generALIZED Laguerre functions Collocation method Hermite-Gauss NODES Nonlinear ODE semi-infinite
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ON KARUSH-KUHN-TUCKER POINTS FOR A SMOOTHING METHOD IN SEMI-INFINITE OPTIMIZATION
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作者 Oliver Stein 《Journal of Computational Mathematics》 SCIE CSCD 2006年第6期719-732,共14页
We study the smoothing method for the solution of generalized semi-infinite optimization problems from (O. Stein, G. Still: Solving semi-infinite optimization problems with interior point techniques, SIAM J. Control... We study the smoothing method for the solution of generalized semi-infinite optimization problems from (O. Stein, G. Still: Solving semi-infinite optimization problems with interior point techniques, SIAM J. Control Optim., 42(2003), pp. 769-788). It is shown that Karush-Kuhn-Tucker points of the smoothed problems do not necessarily converge to a Karush-Kuhn-Tucker point of the original problem, as could be expected from results in (F. Facchinei, H. Jiang, L. Qi: A smoothing method for mathematical programs with equilibrium constraints, Math. Program., 85(1999), pp. 107-134). Instead, they might merely converge to a Fritz John point. We give, however, different additional assumptions which guarantee convergence to Karush-Kuhn:Tucker points. 展开更多
关键词 generalized semi-infinite optimization Stackelberg game Constraint qualifi-cation SMOOTHING NCP function.
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二(双)层规划综述 被引量:69
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作者 王广民 万仲平 王先甲 《数学进展》 CSCD 北大核心 2007年第5期513-529,共17页
二(双)层规划是研究二层决策的递阶优化问题.其理论、方法和应用在过去的30多年取得了很大的发展.本文对二层规划问题的基本概念、性质和算法作了综述,并且对下层规划问题的解不唯一的情况也作了介绍,最后还给出了几种常见的二层规划模型.
关键词 二层规划 多层规划 最优性条件 Stackelberg问题 双线性规划 广义半无限规划
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某些半无限凸规划的最优性条件 被引量:5
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作者 郑英元 韩天雄 《华东师范大学学报(自然科学版)》 CAS CSCD 1991年第3期1-4,共4页
本文给出并证明某些具有凸性或广义凸性的半无限规划的最优性条件.
关键词 半无限规划 凸性 广义凸性 最优性
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一类非光滑多目标半无限规划的最优性条件 被引量:5
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作者 王荣波 张庆祥 冯强 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第3期1-5,共5页
利用一类新的广义一致Bρ-(p,r)-不变凸函数,讨论了一类多目标半无限规划问题的最优性,得到了若干个最优性条件,并据此推广了许多涉及不变凸函数、不变B-凸函数、(p,r)-不变凸函数以及B-(p,r)-不变凸函数的文献的结论.
关键词 多目标半无限规划 广义一致Bp-(p r)-不变凸函数 最优性条件 有效解
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半无限长旋转杆件中的广义电磁热弹耦合问题 被引量:2
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作者 关明智 何天虎 +1 位作者 盖超 李洋 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2009年第1期92-97,共6页
应用Lord和Shulman(L-S)广义热弹性理论,研究半无限长旋转理想杆件的电磁热弹耦合问题.给出介质中的Maxwell方程组,建立了L-S型广义电磁热弹耦合的控制方程,借助拉普拉斯变换和数值反变换技术对问题进行求解,得到瞬态热冲击作用下半无... 应用Lord和Shulman(L-S)广义热弹性理论,研究半无限长旋转理想杆件的电磁热弹耦合问题.给出介质中的Maxwell方程组,建立了L-S型广义电磁热弹耦合的控制方程,借助拉普拉斯变换和数值反变换技术对问题进行求解,得到瞬态热冲击作用下半无限长旋转杆件中的温度、应力、位移、感应磁场和电场的分布规律.结果表明,介质呈现热的波动性和电磁热弹耦合效应,由于考虑旋转,对位移和应力提高较大,但对杆的感应磁场和电场的影响较小,对温度基本没有影响. 展开更多
关键词 广义热弹性理论 旋转效应 半无限长杆件 电磁热弹耦合 拉普拉斯变换
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广义半无限规划问题的一种可行方向算法 被引量:1
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作者 贾世会 万仲平 +1 位作者 何炬林 吕一兵 《数学杂志》 CSCD 北大核心 2006年第3期277-282,共6页
基于Zoutendijk可行方向算法,本文提出了一种求解广义半无限规划问题的可行方向算法,在保证算法收敛的情况下,此算法比以往的算法在假设条件的要求上有着一定的优势,且数值试验表明此法是可行的.
关键词 广义半无限规划 可行方向法 收敛性
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关于一类多目标半无限分式规划的最优性条件 被引量:3
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作者 严建军 李钰 +1 位作者 李江荣 杨帆 《重庆理工大学学报(自然科学)》 CAS 北大核心 2018年第12期205-210,共6页
基于(C,α,ρ,d)-凸性,提出了广义(C,α,ρ,d)K,θ-凸函数、广义(C,α,ρ,d)K,θ-伪凸函数、广义(C,α,ρ,d)K,θ-拟凸函数等概念,并讨论了涉及这些新广义凸性的一类多目标半无限分式规划的最优性条件。
关键词 多目标规划 半无限规划 广义(C α ρ d)K θ-凸函数 最优性
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一类多目标半无限分式规划的最优性与对偶性 被引量:2
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作者 王荣波 张庆祥 冯强 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第1期47-50,共4页
利用一类新的广义一致局部Q连通凸函数,讨论了一类多目标半无限分式规划的最优性与广义Mond-Weir对偶性,给出了相应的最优性条件以及对偶性定理.
关键词 广义一致局部Q连通凸函数 多目标半无限分式规划 最优性条件 有效解
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一类多目标半无限规划的最优性与对偶性 被引量:2
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作者 王荣波 冯强 刘瑞 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2017年第3期55-61,共7页
给出了一类新的广义一致伪拟(F,α,ρ,d)-I型凸函数,利用这类新的广义凸函数,得到了涉及广义一致强伪拟、弱严格伪拟、弱伪拟以及伪拟(F,α,ρ,d)-I型凸函数的多目标半无限规划的最优性条件.同时给出了Mond-Weir与Wolfe型混合对偶模型,... 给出了一类新的广义一致伪拟(F,α,ρ,d)-I型凸函数,利用这类新的广义凸函数,得到了涉及广义一致强伪拟、弱严格伪拟、弱伪拟以及伪拟(F,α,ρ,d)-I型凸函数的多目标半无限规划的最优性条件.同时给出了Mond-Weir与Wolfe型混合对偶模型,得到了涉及广义一致伪拟、严格伪拟(F,α,ρ,d)-I型凸函数的多目标半无限规划的弱对偶定理. 展开更多
关键词 多目标半无限规划 广义一致伪拟(F α ρ d)-I型凸函数 最优性 对偶性
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一类多目标半无限规划的Mond-Weir型对偶 被引量:2
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作者 王荣波 冯强 《浙江大学学报(理学版)》 CAS CSCD 2012年第6期627-629,共3页
在广义一致局部连通凸函数的约束下,讨论了一类多目标半无限规划的Mond-Weir型对偶,得到了相应的弱对偶、强对偶和逆对偶定理.
关键词 广义一致局部连通凸函数 多目标半无限规划 对偶性
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抽象凸空间具有广义向量均衡约束的广义半无穷规划解的存在性 被引量:1
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作者 杨明歌 周慧倩 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第9期6-10,共5页
利用叠合点定理,在抽象凸空间中证明4种类型的具有广义向量均衡约束的广义半无穷规划解的存在性定理,并给出一个具体的例子来说明上述定理的条件是可以满足的.
关键词 RC 映射 广义半无穷规划 广义向量均衡约束 抽象凸空间
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一类极大极小半无限分式规划的对偶性 被引量:1
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作者 王荣波 张庆祥 冯强 《安徽大学学报(自然科学版)》 CAS 北大核心 2008年第3期1-4,共4页
利用一类新的广义一致Bp-(p,r)-不变凸函数,讨论了一类极大极小半无限分式规划的对偶性,并在两种不同的对偶模型下,分别给出了相应的弱对偶、强对偶以及逆对偶等若干定理.其结论具有一般性,推广了许多涉及(p,r)-不变凸函数以及B-(p,r)-... 利用一类新的广义一致Bp-(p,r)-不变凸函数,讨论了一类极大极小半无限分式规划的对偶性,并在两种不同的对偶模型下,分别给出了相应的弱对偶、强对偶以及逆对偶等若干定理.其结论具有一般性,推广了许多涉及(p,r)-不变凸函数以及B-(p,r)-不变凸函数的文献的结论. 展开更多
关键词 广义一致Bp-(p r)-不变凸函数 极大极小半无限分式规划 对偶性 有效解
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一类多目标半无限规划的最优性条件 被引量:2
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作者 冯强 王荣波 《西北大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第2期195-197,共3页
目的给出一类多目标半无限规划的最优性条件,包括Fritz-John条件和Kuhn-Tucker条件。方法利用K-方向导数以及凸泛函定义了一类新广义一致强伪拟(C,α,ρ,d)-I型等不变凸函数,并讨论了具有该广义凸性的一类多目标半无限规划的最优性条件... 目的给出一类多目标半无限规划的最优性条件,包括Fritz-John条件和Kuhn-Tucker条件。方法利用K-方向导数以及凸泛函定义了一类新广义一致强伪拟(C,α,ρ,d)-I型等不变凸函数,并讨论了具有该广义凸性的一类多目标半无限规划的最优性条件。结果在新的广义凸函数的约束下,得到了一类多目标半无限规划的最优性条件。结论在此约束条件下得到的最优性条件,适用范围更为广泛。 展开更多
关键词 广义一致强伪拟(C α ρ d)-Ⅰ型凸函数 多目标半无限规划 有效解
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