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91.
Analytical solutions of the lattice Boltzmann BGK model 总被引:1,自引:0,他引:1
Analytical solutions of the two-dimensional triangular and square lattice Boltzmann BGK models have been obtained for the plane Poiseuille flow and the plane Couette flow. The analytical solutions are written in terms of the characteristic velocity of the flow, the single relaxation time , and the lattice spacing. The analytic solutions are the exact representation of these two flows without any approximation. Using the analytical solution, it is shown that in Poiseuille flow the bounce-back boundary condition introduces an error of first order in the lattice spacing. The boundary condition used by Kadanoffet al. in lattice gas automata to simulate Poiseuille flow is also considered for the triangular lattice Boltzmann BGK model. An analytical solution is obtained and used to show that the boundary condition introduces an error of second order in the lattice spacing. 相似文献
92.
Schock (Ref. 1) considered a general a posteriori parameter choice strategy for the Tikhonov regularization of the ill-posed operator equationTx=y which provides nearly the optimal rate of convergence if the minimal-norm least-squares solution
belongs to the range of the operator (T
*
T)
v
, o<v1. Recently, Nair (Ref. 2) improved the result of Schock and also provided the optimal rate ifv=1. In this note, we further improve the result and show in particular that the optimal rate can be achieved for 1/2v1.The final version of this work was written while M. T. Nair was a Visiting Fellow at the Centre for Mathematics and Its Applications, Australian National University, Canberra, Australia. The work of S. George was supported by a Senior Research Fellowship from CSIR, India. 相似文献
93.
H. D. Junghenn 《Transactions of the American Mathematical Society》1996,348(3):1051-1073
A weakly continuous, equicontinuous representation of a semitopological semigroup on a locally convex topological vector space gives rise to a family of operator semigroup compactifications of , one for each invariant subspace of . We consider those invariant subspaces which are maximal with respect to the associated compactification possessing a given property of semigroup compactifications and show that under suitable hypotheses this maximality is preserved under the formation of projective limits, strict inductive limits and tensor products.
94.
Let and be real Banach spaces. A map between and is called an -bi-Lipschitz map if for all . In this note we show that if is an -bi-Lipschitz map with from onto , then is almost linear. We also show that if is a surjective -bi-Lipschitz map with , then there exists a linear isomorphism such that
where as and .
95.
Let {
s,t
,(s,t
+
2
} be a white noise on
+
2
. We consider the hyperbolic stochastic partial differential equation {ie863-3} The purpose of this paper is to study the law of the solution to this equation. We analyze the existence and smoothness of the density using the tools of Malliavin Calculus. Finally we prove a large deviation principle on the space of continuous functions, for the family of probabilities obtained by perturbation of the noise in the equation.This work has been partially supported by the grant of the DGICYT No. PB 930052 and the EU Science project CT 910459. 相似文献
96.
97.
Banach空间二阶微分方程的周期解 总被引:10,自引:4,他引:6
李永祥 《西北师范大学学报(自然科学版)》1998,34(2):10-13
研究了有序Banach空间中二阶微分方程周期解的存在性,利用凸锥理论与上、下解方法获得了周期解的存在性结果,并把Leela关于二阶常微分方程的结果推广到了无限维空间. 相似文献
98.
研究了十六烷基三甲基溴化铵-正庚烷反胶束溶液和牛血红蛋白水溶液的相平衡,探讨了有机相助表面活性剂种类和浓度、水相pH值、水相离子种类和强度、表面活性剂浓度的影响,适宜条件下,牛血红蛋白的萃取率可达95%以上。对实验结果从表面活性剂极性头与蛋白质分子间的相互作用和反胶团包溶蛋白质时的空间阻碍作用上进行了解释。 相似文献
99.
方丽萍 《北京理工大学学报》1998,18(1):1-4
研究整函数族fλ(z)=ze^z+λ(λ∈C)的动力系统。方法用Baker研究e^λz所采用的方法。结果与结论设Dp={λ∈| fλ(z)有一个p阶的吸性周期点},Dp表示Dp的一个连通分支。 相似文献
100.
Semiconductor(ZnxCd1−x
S) doped silica glasses were prepared by Sol-Gel process andin situ growth technique. The structure of the materials was characterized by X-ray diffraction technique, the particle size of semiconductor
crystallites from X-ray patterns was estimated less than 10 nm. From absorption spectra, it is obtained that the absorption
edges shifted to short wavelength direction when Zn contents increased, and the absorption edge can be adjusted from 2.46
eV to 2.96 eV by controlling Zn contents. The third-order nonlinear optical susceptibility was studied at 532 nm with 8 ns
pulse laser by degenerate four wave mixing (DFWM) technique. 相似文献