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81.
In the microchannels made of hydrophobic materials, the fluid velocity is determined by the zeta potential and velocity slip, both of which may be inhomogeneous due to the adsorption of protein to the channel wall. The inhomogeneity of zeta potential and slip coefficient sometimes causes recirculating flows which in turn affect the transport and mixing of solutes through the microchannels. In the present investigation we devise a method for the simultaneous estimation of inhomogeneous zeta potential and inhomogeneous slip coefficient using velocity measurements. A conjugate gradient method supplemented by the adjoint variable method is adopted in the solution of the relevant inverse problem to reduce the computational burden. The present method is found to estimate the inhomogeneous zeta potential and the slip coefficient simultaneously even with noisy velocity measurements. This method is expected to contribute to the optimal design and robust operation of various microfluidic devices, where the flow patterns and the volumetric flow rates are critically influenced by the profiles of inhomogeneous zeta potential and inhomogeneous slip coefficient. 相似文献
82.
Chen Jixiang 《数学学报(英文版)》1997,13(4):553-562
K. A. Hardie and K. H. Kamps investigated the track homotopy categoryH
B over a fixed spaceB ([5]). This paper extendsH
B to the track homotopy categoryH
b over a fixed mapb:
, such that there exists a split fibration of categoriesL:H
b →H
B andH
b possesses some construction as inH
B.
Supported by National Natural Science Foundation of China and the Doctoral Foundation of the National Educational Committee
of China 相似文献
83.
The purpose of the present work is to implement well-known statistical decision and game theory strategies into multiobjective
stochastic control problems of fluid dynamics. Such goal is first justified by the fact that deterministic (either singleobjective
or multiobjective) control problems that are obtained without taking into account the uncertainty of the model are usually
unreliable. Second, in most real-world problems, several goals must be satisfied simultaneously to obtain an optimal solution
and, as a consequence, a multiobjective control approach is more appropriate. Therefore, we develop a multiobjective stochastic
control algorithm for general fluid dynamics applications, based on the Bayes decision, adjoint formulation and the Nash equilibrium
strategies. The algorithm is exemplified by the multiobjective stochastic control of a periodic Burgers equation. 相似文献
84.
In this paper, one-dimensional optimal system of group invariant solutions of (2 + 1)-dimensional Klein–Gordon system is constructed. Then the classification of group invariant solutions is given out and the corresponding two-dimensional symmetry reduced equations are obtained. At last some symmetry transformations are gained in detail. Especially, we obtain the most general solution from a given solution by use of six variable one-parameter subgroups transformations. 相似文献
85.
86.
The problem for determining the exchange rate function of 2D CCPF model by measurements on the partial boundary is considered and solved as one PDE-constraint optimization problem. The optimal variant is the minimum of a cost functional that quantifies the difference between the measurements and the exact solutions. Gradientbased algorithm is used to solve this optimization problem. At each step, the derivative of the cost functional with respect to the exchange rate function is calculated and only one forward solution and one adjoint solution are needed. One method based on the adjoint equation is developed and implemented. Numerical examples show the efficiency of the adjoint method. 相似文献
87.
该文首先研究了李超三系的中心、导子超代数和内导子超代数的分解问题, 给出了具有平凡中心的李超三系的分解唯一性定理, 同时讨论了李超三系的自同构的扩张. 相似文献
88.
A version of Serre-duality is proved for Artin's non-commutative projective schemes.
89.
图的伴随多项式的因式分解定理及应用 总被引:4,自引:0,他引:4
我们通过研究Γ-型图簇的伴随多项式的因式分解,证明了这些图簇的补图的色等价图的结构性质和非色唯一性. 相似文献
90.
This paper proposes a new method for estimating the error in the solution of matrix equations. The estimate is based on the adjoint method in combination with small sample statistical theory. It can be implemented simply and is inexpensive to compute. Numerical examples are presented which illustrate the power and effectiveness of the new method. 相似文献