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reflexive space相关的网络例句

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In this paper We study existence of solutions of variational inequalities in a reflexive Banach Space,and acquire several existence results.

本文研究自反Banach空间中的变分不等方程解的存在性,得到了存在性的几个结果。

In this paper we concem the approximate controllability on non-sun-reflexive Banach space, andgive some important results.

研究了非太阳自反Banach空间下控制系统的可控性,得出了一些重要的结论。

Let X be a reflexive Banach space with both X and X locally uniformly convex. D is a bounded, open, convex subset of X. T∶D→X is a pseudo-monotone operator; C∶D→X is a compact or strongly continuous operator.

何震设X是自反Banach空间且X和X均为局部一致凸空间,D是X的开、有界、凸子集, T∶D→X是伪单调算子(pseudo-monotone), C∶D→X是紧算子或全连续算子。

Nest algebra is an important class of non-selfadjoint reflexive operator algebras, which is the natural generalization of upper triangular matrix algebra in infinite dimensional space.

中文摘要:套代数是一类重要的非自伴、自反算子代数,它是上三角矩阵代数在无穷维空间上的自然推广。

According to [2], we know that if X is a reflexive Banach space and T is a strongly continuous semigroup on X with the infinitesimal generator A, then the adjoint semigroup T~* is also a strongly continuous semigroup on X* and its infinitesimal generator is A~*, the ajoint operator of A.

由文献[2]我们知道,如果X是一自反Banach空间,那么X上强连续半群T的对偶半群T~*也是X~*上的强连续半群,并且其无穷小生成元为半群T的无穷小生成元的对偶。

The concepts of the S-simplest form of a seminorm family P and the P-reflexive locally convex space are introduced. The seminorm family P and its every S-simplest form generate the same locally convex separated topology on X are proved.

引入半范数族P的S-最简形式和P-自反局部凸空间的概念,证明了半范数族P和它的每一个S-最简形式都生成X上相同的局部凸拓扑。

This paper discusses the necessary and sufficient conditions of normed linear spaces equading reflexive space and the relationship between reflexibility and weakly compact.

讨论了赋范线性空间为自反空间的充分条件和必要条件,并讨论了自反与弱紧的关系。

In this paper, we study the iteration method approximating zero points of m-accretive operators in reflexive Banach space. The strong convergence of the revised method is proved. These results extend and improve corresponding results of others.

文章在自反Banach空间中研究了m-增生算子的零点迭代逼近问题,证明了修正的迭代算法强收敛到m-增生算子A的一个零点,此结果推广和改进了一些相关结论。

A reflexive operator is constructed on the space l 2 by using unilateral shift operator.

利用单侧移位算子在l2 空间中构造了一个自反算子。

The main work and the originality points of this dissertation could be concluded as the following parts:(1) To analyze systematically the mathematical model of LES of air flow in great space, under the case of isothermal and non-isothermal, as well as the combined action of buoyancy and strain. Some basic problems are studied about the LES application into airflow simulation of great space, such as boundary conditions, spatial difference scheme and time advancing scheme, time step etc., which creates the basis for the LES application to indoor airflow simulation.(2) Both the instantaneous and time averaged flow field of great space with multiple jets under isothermal and non-isothermal cases are explored with large eddy simulation method, and also discussed the dynamic characteristics and the law of fluidflow in the great space.(3) Based on the results of LES of the great space and the Fanger thermal comfort indexes, it is brought forward the concept of the series of dynamic thermal comfort evaluating indexes, which could be divided into thermal comfort index with time averaged properties PD, PPD, PMV, thermal comfort index with instantaneous properties IPD, IPPD, IPMV, and time averaged thermal comfort indexes TAPD, TAPPD, TAPMV, and transient situations time averaged thermal comfort indexes TTAPD, TTAPPD, TTAPMV. The differences among them and the calculation methods are discussed, and the four kinds of indexes are calculated with the thermal comfort index PD as an example.(4) Based on the LES results it is discussed the hot air stratification phenomena in air-conditioned buildings in the case with air supply and return registers on the ceiling and the case on the sidewall. The fundamentals of the hot air stratification are studied and the relations of estimating hot air stratification are brought forward.(5) With the advanced apparatus such as hot wire film anemometer IFA300 and laser particle field anemoscope, corresponding model test and site measurements have been done, which are compared with the simulation results and LES is proved a very promising method in air flow simulation indoor.

本文主要工作既创新点体现在以下几个方面:(1)系统分析了等温、非等温和考虑剪切力与浮升力综合作用的高大空间大涡模拟数学模型,并研究了高大空间大涡模拟在室内气流仿真应用中的一些基本问题,如边界条件、空间离散格式和时间推进格式、时间步长选择等问题,为大涡模拟在室内气流计算中的广泛应用打下了基础;(2)首次用大涡模拟方法研究了高雷诺数下高大空间多射流在等温、非等温情况下的瞬时流场和时均流场分布,并探讨了多射流流场的动态特性和流动规律;(3)基于大涡模拟的动态仿真结果和Fanger的热舒适指标,首次系统地提出了动态热舒适评价指标体系的概念:即基于时间平均参数的热舒适指标PD、PPD、PMV;基于瞬时参数的瞬时热指标IPD、IPPD、IPMV;基于时间平均热舒适指标TAPD、TAPPD、TAPMV;以及沿行动迹线的时间平均热舒适指标TTAPD、TTAPPD、TTAPMV,并分析了四类热舒适指标的差异性和计算方法,还以PD值为例对四类指标分别进行了计算;(4)基于数十种工况下空调房间大涡模拟的结果,研究了空调建筑上送上回和侧送侧回两种情况下热分层现象,并探讨了热分层的基本规律,首次提出了避免热分层现象的判断公式;(5)在暖通空调领域,首次使用IFA300热线风速仪、激光粒子速度场仪等先进设备,完成了与大涡模拟相对应的模型试验,并把实测结果与仿真结果进行了对比,说明LES在室内气流仿真方面是一种很有前景的方法。

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