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191.
NONLINEAR EVOLUTION SYSTEMS AND GREEN’S FUNCTION 总被引:1,自引:1,他引:0
王维克 《数学物理学报(B辑英文版)》2010,(6):2051-2063
In this paper, we will introduce how to apply Green’s function method to get the pointwise estimates for the solutions of Cauchy problem of nonlinear evolution equations with dissipative structure. First of all, we introduce the pointwise estimates of the time-asymptotic shape of the solutions of the isentropic Navier-Stokes equations and show to exhibit the generalized Huygen’s principle. Then, for other nonlinear dissipative evolution equations, we will only introduce the result and give some brief explanations. Our approach is based on the detailed analysis of the Green’s function of the linearized system and micro-local analysis, such as frequency decomposition and so on. 相似文献
192.
We consider the space D(X, Y) of densely continuous forms introduced by Hammer and McCoy [5] and investigated also by Holá [6]. We show some additional
properties of D(X, Y) and investigate the subspace D*(X) of locally bounded real-valued densely continuous forms equipped with the topology of pointwise convergence τ-
p
. The largest part of the paper is devoted to the study of various cardinal functions for (D*(X), τ
p
), in particular: character, pseudocharacter, weight, density, cellularity, diagonal degree, π-weight, π-character, netweight etc.
This work was supported by Science and Technology Assistance Agency under the contract No. APVT-51-006904. The authors would
like to thank Ľubica Holá for suggestions and comments. 相似文献
193.
The known estimation and simulation methods for multivariate t distributions are reviewed. A review of selected applications is also provided. We believe that this review will serve as
an important reference and encourage further research activities in the area. 相似文献
194.
多频声光互作用的研究 总被引:1,自引:1,他引:0
本文推导出包括正常和反常声光互作用在内的多频声光耦合波方程的普适形式,并得出两个独立超声波信号时布拉格状态下方程的解.分析了多频声光互作用的各种线性和非线性效应,包括衍射效率、压缩、交叉调制和各级互调制强度等,并指出反常与正常多频声光衍射的差异.结论是反常多频声光互作用情况下,各级互调制模强度与主衍射模强度的比值小于正常多频声光互作用情况下的相应比值.实验结果与理论分析相符. 相似文献
195.
从 77K到 30 0 K之间对 Ca L a Ba Cu3 -x Bx O7-δ单相体系的正常态热电势率进行了微分法测量 ,发现随着硼含量 x从 0向 0 .4的逐步增加 ,样品体系正常态特性从金属性向类半导体性质转变 ,其主要载流子由空穴型为主转变为电子型为主 .根据以上的性质转变 ,我们采用双带模型及半导体模型对 x的不同值进行曲线模拟 ,拟合的热电势率—温度曲线与实验曲线相当吻合 ,同时根据模型对样品的费米能及有效能隙进行了计算 相似文献
196.
在曲线的多分辨率分析基础上,构造了一种新的非线性三分多分辨率算法.并研究这个正则三分多分辨率算法的收敛性和稳定性,进一步,证明了小波参数的收敛性精密地依靠这个基本的多分辨率细分算法的收敛性. 相似文献
197.
The cyclic projections algorithm is an important method for determining a point in the intersection of a finite number of closed convex sets in a Hilbert space. That is, for determining a solution to the “convex feasibility” problem. This is the third paper in a series on a study of the rate of convergence for the cyclic projections algorithm. In the first of these papers, we showed that the rate could be described in terms of the “angles” between the convex sets involved. In the second, we showed that these angles often had a more tractable formulation in terms of the “norm” of the product of the (nonlinear) metric projections onto related convex sets.In this paper, we show that the rate of convergence of the cyclic projections algorithm is also intimately related to the “linear regularity property” of Bauschke and Borwein, the “normal property” of Jameson (as well as Bakan, Deutsch, and Li’s generalization of Jameson’s normal property), the “strong conical hull intersection property” of Deutsch, Li, and Ward, and the rate of convergence of iterated parallel projections. Such properties have already been shown to be important in various other contexts as well. 相似文献
198.
Summary The lattice dynamics of Li-intercalated FePS3 has been studied by means of a force constant model generated by a set of short-range two-body potentials. The intercalated
phases have been investigated for the three stoichiometric compositions: Li0.5FePS3, LiFePS3, Li1.5FePS3, with the aim of analysing the evolution of the host lattice normal modes as a function of the concentration, and of finding
the dispersion of the new phonon branches induced by lithium. The above special values of lithium concentration have been
chosen because the size of the unit cell keeps the same as in the host material. The force constants are fitted to the infrared
data and the phonon dispersion curves and the phonon energy densities have been calculated. A spectroscopic method for monitoring
lithium migration in the host material is proposed. 相似文献
199.
D. Gabai 《Commentarii Mathematici Helvetici》2000,75(1):109-124
A -injective closed surface in an orientable 3-manifold with a tangentially smooth, transversely C
0 taut foliation can be homotoped to an immersed surface which is either transverse to the foliation except at isolated saddle
tangencies or mapped into a leaf.
Received: November 11, 1997 相似文献
200.
Crosstalks of two-waveguide and three-waveguide directional couplers are analyzed mathematically based on the relationship between the coupled mode and the normal mode. Numerical techniques such as the finite-difference method and the beam propagation method are employed to confirm the validity of the derived expressions. The calculation results show that two-waveguide directional coupler is superior to any type of three-waveguide couplers from the practical viewpoint of the crosstalk and the coupling length. 相似文献