共查询到20条相似文献,搜索用时 633 毫秒
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Hong Jun YUAN Song Zhe LIAN Chun Ling CAO Wen Jie GAO Xiao Jing XU 《数学学报(英文版)》2007,23(10):1751-1756
The aims of this paper are to discuss the extinction and positivity for the solution of the initial boundary value problem and Cauchy problem of ut = div([↓△u^m|p-2↓△u^m). It is proved that the weak solution will be extinct for 1 〈 p ≤ 1 + 1/m and will be positive for p 〉 1 + 1/m for large t, where m 〉 0. 相似文献
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马志良(1947—),男,浙江普陀人,浙江普陀高级教师圆锥曲线c:f(x,y)=0(1)关于点P(x0,y0)对称的曲线c′的方程为:f(2x0-x,2y0-y)=0(2)利用方程(2)可求曲线c在点P(x0,y0)处的切线方程和圆锥曲线c以P(x0,y0)为中点的弦所在的直线方程.(1)-(2),得f(x,y... 相似文献
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沈惠川 《数学物理学报(A辑)》1996,16(1):40-47
该文将等熵磁流体力学(MHD)或等熵电磁流体力学(EMHD)的基本方程组以及(非相对论的或相对论的)Vlasov方程,分别化为等熵流体力学(HD)表象,建立了上述三类等熵方程之间的对应关系.从而使非相对论Vlasov方程的精确解(它与等熵MHD方程的精确解相对应)和相对论Vlasov方程的精确解(它与等熵EMHD方程的精确解相对应)都可以用(非相对论的和相对论的)等熵HD方程的精确解来表示. 相似文献
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15个著名的不定方程问题 总被引:3,自引:0,他引:3
15个著名的不定方程问题杨仕椿(四川西充县常林中学637200)不定方程的研究,是数论研究中的热点与难点,它以其内容简洁易懂而方法艰深困难向人类的智慧提出挑战.除了著名的Fer-mat大定理外,还有许多的其它不定方程问题,本文列举出15个问题,逐一阐... 相似文献
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AGLOBALALGORITHMINTHENUMERICALRESOLUTIONOFTHEVISCOUS/INVISCIDCOUPLEDPROBLEMXUCHUANJUMADAY,Y.ManuscriptreceivedOctober17,19... 相似文献
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Lax方程组的求解公式 总被引:1,自引:0,他引:1
本文给出了一些著名的非线性演化方程的Lax方程组求解公式.利用这些公式,只需算积分就能不断求得这些方程的解.从而提供了利用Lax方程组求解非线性方程的新途径. 相似文献
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王存政 《数学物理学报(A辑)》1990,10(1):112-120
本文研究KdV和MKdV方程,其特点在于构造变系数非线性非齐次的偏微分方程及其求解公式,由于其系数是通用型的,故可通过变系数的适当选择,从中找到KdV和MKdV方程及其解,其实质是通过一个泛函把三阶的KdV和MKdV方程转变成4个任意函数的二阶方程来处理。本文获得了变系数KdV和MKdV方程及其孤立子解及含外力项的KdV和MKdV方程及其精确解。 相似文献
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ZHENG ShiJun 《分析论及其应用》2004,20(3)
Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V. 相似文献
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We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals. 相似文献
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It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary. 相似文献
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《高校应用数学学报(英文版)》2014,29(4)
正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with 相似文献
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《数学研究及应用》2014,(6)
正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics. 相似文献
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A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6]. 相似文献
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