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41.
Nonlinear anisotropic elliptic equations in
with variable exponents and locally integrable data 下载免费PDF全文
Fares Mokhtari 《Mathematical Methods in the Applied Sciences》2017,40(6):2265-2276
In this paper, we prove existence and regularity results for weak solutions in the framework of anisotropic Sobolev spaces for a class of nonlinear anisotropic elliptic equations in the whole with variable exponents and locally integrable data. Our approach is based on the anisotropic Sobolev inequality, a smoothness, and compactness results. The functional setting involves Lebesgue–Sobolev spaces with variable exponents. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
42.
43.
The idea of combine aggregation and intuitionistic fuzzy information plays essential role in multi criteria decision making (MCDM) process. However, this new branch has attracted researchers that study in different fields recently. In this paper, we study MCDM problems with intuitionistic fuzzy environment. Firstly, we introduce some operations related with Einstein t-norm and t-conorm such as, Einstein sum, product and exponentiation. After that, we define dynamic intuitionistic fuzzy Einstein averaging (DIFWA) operator and dynamic intuitionistic fuzzy Einstein geometric averaging (DIFWG) operator. Their notable property is that collect and aggregate values in different period based on Einstein operations in intuitionistic fuzzy set (IFS)s. In addition, we compare the defined operators with the existing intuitionistic fuzzy dynamic operators and get the corresponding relations. We establish two methods using with DIFWA and DIFWG to solve MCDM problems with intuitionistic fuzzy tools. Finally, an illustrated example is presented to show the applicability of the introduced methods. 相似文献
44.
Muhammad Irfan 《Numerical Methods for Partial Differential Equations》2023,39(2):1030-1041
The aspects of activation energy in magnetized Maxwell nanofluid flow with Brownian movement and thermophoretic diffusion have been elaborated here. Furthermore, Joule heating, variable conductivity and chemical reaction are scrutinized. The Buongiorno nanofluid thought is ratify to incorporate the importance of thermophoretic and Brownian diffusion. The attained ODEs have been solved via homotopic algorithm. The performance of operational variables is inspected. The Maxwell temperature field for Eckert number and variable conductivity factor have similar trend. The fluid concentration exaggerates for activation energy and decelerates for Brownian motion parameter. Furthermore, the brilliant outcomes attained and associated with possible existing prose accurately. 相似文献
45.
企业合作在“双循环”新发展格局下呈现出更多的模糊特征,能否形成稳定的模糊合作格局及持续合作的收益再分配策略成为合作联盟的关注点。将广义模糊超量博弈和模糊凸博弈及其广义解集应用到“双循环”新发展格局下企业联盟合作与收益再分配中,提出最大广义模糊超量博弈模型及其广义模糊谈判集,并基于最大广义模糊超量博弈均衡性的视角,对模糊凸博弈下广义模糊谈判集与核心的等价性质进行论证。研究结果不仅满足了“双循环”新发展格局下合作企业以部分资源参与合作的意愿,及企业联盟模糊凸合作博弈下再分配方案等价性证明需求,而且实现了保留部分收益用于联盟再发展的策略。 相似文献
46.
The incorporation of energy elastic effects in the modeling of flowing polymeric liquids is discussed. Since conformational
energetic effects are determined by structural features much smaller than the end-to-end vector of the polymer chains, commonly
employed single conformation tensor models are insufficient to describe energy elastic effects. The need for a local structural
variable is substantiated by studying a microscopic toy model with energetic effects in the setting of a generalized canonical
ensemble. In order to examine the dynamics of flowing polymeric liquids with energy elastic effects, a thermodynamically admissible
set of evolution equations is presented that accounts for the evolution of the microstructure in terms of a slow tensor, as
well as a fast, local scalar variable. It is demonstrated that the temperature used in the definition of the heat flux is
directly related to the Lagrange multiplier of the microscopic energy in the generalized canonical partition function. The
temperature equation is discussed with respect to, first, the dependence of the heat capacity on the polymer conformation
and, second, the possibility to measure experimentally the effects of the conformational energy.
相似文献
Markus HütterEmail: |
47.
为了消除温度效应并提高陀螺精度,将模糊逻辑应用于光纤陀螺的温度漂移模型的辨识和自补偿中方案中。在模糊逻辑理论的框架下,根据光纤陀螺系统的模糊信息,建立模糊规则,进行模糊推理,实现对陀螺输出的近似辨识。此方法对其他没有温度相似性的陀螺也适用。在实际验证实验中,针对不同的陀螺,通过预先实验建立各自的规则表,然后进行实时补偿,在全温度范围内陀螺的零偏稳定性从0.3647(o)/h减小到0.0868(o)/h,陀螺预热时间缩短到30s以内。目前,在陀螺工艺条件还不够稳定的状态下,此方案是实用和可行的。 相似文献
48.
49.
A cell mapping strategy based on Bellman'sPrinciple of optimality (BP) is proposed to solve the fixed final time optimalcontrol of strongly nonlinear systems with state and control bounds. Thefixed final time problem is transformed into a fixed final time-fixed finalstate optimal control problem by reversing the time. This transformationallows to solve the problem in the framework of the BP. Backward searchingalgorithms within the cell mapping context are used to obtain the solution ofthe new problem. This approach reduces considerably the computational effortrequired for the original problem when it is solved by a forward searchingapproach. The vibration control problem of damped and undamped variablestiffness oscillators with bounded stiffness tuning range is studied todemonstrate the effectiveness of the approach. A numerical study on theconvergence of the method is also presented. 相似文献
50.
The elastic interaction between a screw dislocation and an elliptical inhomogeneity with interfacial cracks is studied. The screw dislocation may be located outside or inside the inhomogeneity. An efficient complex variable method for the complex multiply connected region is developed, and the general solutions to the problem are derived. As illustrative examples, solutions in explicit series form for complex potentials are presented in the case of one or two interfacial cracks. Image forces on the dislocation are calculated by using the Peach-Koehler formula. The influence of crack geometries and material properties on the image forces is evaluated and discussed. It is shown that the interfacial crack has a significant effect on the equilibrium position of the dislocation near an elliptical-arc interface. The main results indicate, when the length of the crack goes up to a critical value, the presence of the interfacial crack can change the interaction mechanism between a screw dislocation and an elliptical inclusion. The present solutions can include a number of previously known results as special cases.The project supported by the National Natural Science Foundation of China(10272009 and 10472030) and the Natural Science Foundation of Hunan Province(02JJY2014) 相似文献