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11.
Liondas CA; Chrissoulidis DP 《The Quarterly Journal of Mechanics and Applied Mathematics》2007,60(3):275-287
This paper is intended to clarify a misunderstanding concerningthe source singularity of the electric Green's tensor for aperfectly conducting semi-infinite cone of circular cross-section.Tai's series expansion of the Green's tensor is known to lacka singular term at the source region. Jones has reconstructedthe solution to this problem and has pointed out the differencebetween his result and that of Tai. The aim of our paper isto demonstrate that, although Jones's closed-form solution iscorrect, there is a mistake in his comparison with Tai's seriessolution. We conclude that one of the two additional singularterms that Jones claims as missing from Tai's formula must beomitted. Besides, we compare Jones's closed-form solution withSmyshlyaev's solution to the very same problem. We concludethat the magnetic field expressions given by Jones and Smyshlyaevcoincide, but a singular term is missing from Smyshlyaev's expressionfor the electric field. 相似文献
12.
There exist two ways of defining regular variation of a time series in a star-shaped metric space: either by the distributions of finite stretches of the series or by viewing the whole series as a single random element in a sequence space. The two definitions are shown to be equivalent. The introduction of a norm-like function, called modulus, yields a polar decomposition similar to the one in Euclidean spaces. The angular component of the time series, called angular or spectral tail process, captures all aspects of extremal dependence. The stationarity of the underlying series induces a transformation formula of the spectral tail process under time shifts. 相似文献
13.
Positron annihilation Dopplerbroadening measurements, display for the first time the effect of positron trapping in thermally induced vacancies in magnesium. The vacancy formation enthalpy is derived and is 0.85 eV. 相似文献
14.
L. Dorikens-Vanpraet D. Segers M. Dorikens 《Applied Physics A: Materials Science & Processing》1980,23(2):149-152
A detailed study of the prompt resolution curve of a positron annihilation lifetime spectrometer shows that the geometry of
the source-detector set-up has great influence on its shape. 相似文献
15.
Laurent De Moerloose Liesbeth Taelman Patrick Segers Jan Vierendeels Joris Degroote 《国际流体数值方法杂志》2019,89(6):181-195
Fluid-structure interaction (FSI) simulations are used extensively to calculate the vibration of structures subjected to an internal or external flow. In the case of partitioned FSI simulations, separate flow and structure solvers are used, which requires some kind of coupling between both. The time step in both solvers is typically taken the same, but this unnecessarily leads to long calculation times when the time step is small due to stability reasons in one of the two solvers. Subcycling, the procedure where the time step of one solver is chosen smaller than the time step used in the other solver, may reduce the computational cost of the FSI simulation. The subcycling procedure can be either explicit or implicit, the latter implying the use of coupling iterations in each time step. Contrary to explicit subcycling, no stability analyses of implicit subcycling schemes are found in the literature. In this paper, the temporal stability of the implicit subcycling procedure is investigated. The one-dimensional flow in an elastic cylindrical tube is studied analytically. The results of this analysis are subsequently compared to a partitioned two-dimensional axisymmetric FSI calculation with implicit coupling between the flow and structure solvers. 相似文献
16.
The real trapping potential energy U(r) of positronium in vacancy-type holes and self-sustaining bubbles in liquids is replaced by a spherical square well potential of finite energy depth Um and the scaling procedure proposed by Yu et al. is applied. Available data for the ortho-positronium lifetime in molecular crystals and in liquids are re-examined and a unique relation is found between the potential energy depth Um and the calculated radius R of the trapping site. The general form of a surface-enhanced real potential energy U(r) which is compatible with the behaviour of Um is proposed. 相似文献
17.
D. Segers J. Van Humbeeck L. Delaey M. Dorikens L. Dorikens-Vanpraet 《Applied Physics A: Materials Science & Processing》1985,36(4):179-182
Positron annihilation lineshape and lifetime measurements showed that by thermal cycling through the martensitic phase transformation, defects are introduced in Cu-Zn-Al alloys. It was concluded that mobile and immobile defects were introduced, most probably vacancies and dislocations. 相似文献
18.
19.
Extreme values of a stationary, multivariate time series may exhibit dependence across coordinates and over time. The aim of this paper is to offer a new and potentially useful tool called tail process to describe and model such extremes. The key property is the following fact: existence of the tail process is equivalent to multivariate regular variation of finite cuts of the original process. Certain remarkable properties of the tail process are exploited to shed new light on known results on certain point processes of extremes. The theory is shown to be applicable with great ease to stationary solutions of stochastic autoregressive processes with random coefficient matrices, an interesting special case being a recently proposed factor GARCH model. In this class of models, the distribution of the tail process is calculated by a combination of analytical methods and a novel sampling algorithm. 相似文献
20.
Ann Lemahieu Dirk Segers Willem Veys 《Proceedings of the American Mathematical Society》2006,134(12):3429-3436
We study the topological zeta function associated to a polynomial with complex coefficients. This is a rational function in one variable, and we want to determine the numbers that can occur as a pole of some topological zeta function; by definition these poles are negative rational numbers. We deal with this question in any dimension. Denote has a pole in . We show that is a subset of ; for and , the last two authors proved before that these are exactly the poles less than . As the main result we prove that each rational number in the interval is contained in .