外激励作用下亚音速二维壁板分岔及响应研究

研究了亚音速流中二维壁板在外激励作用下的分岔和响应问题. 采用Galerkin方法将非线性运动控制方程离散为常微分方程组. 采用Runge-Kutta数值方法进行了数值计算,研究了壁板系统非单周期区在参数空间的分布情况. 结果表明: 在参数空间中, 非单周期区和单周期区会交替出现; 在不同的单周期区内, 系统运动轨线也在有规律的变化; 系统由单周期运动进入混沌运动是经过一系列周期倍化分岔产生的.      

真空微电子器件的数值模拟计算与分析

本文用数值方法和场致发射的福勒—诺德海姆公式计算了薄膜场致发射阴极(TFFEC)的伏安特性和其应用于平板显示系统的空间扩展特性以及格雷型场效应管的时间响应特性 通过计算得到了TFFEC在不同失端和表面形状情况下的伏安特性曲线,并分析了阴极结构的一致对其发射的均匀性和稳定性的影响。应用TFFEC的新型平板显示系统,其空间分辨能力与阳栅距、栅极电压有很大关系。格雷型场效应管具有皮秒级的响应时间。     

η-Invariant and Flat Vector Bundles

We present an alternate definition of the mod Z component of the AtiyahPatodi-Singer η invariant associated to (not necessary unitary) fiat vector bundles, which identifies explicitly its real and imaginary parts. This is done by combining a deformation of flat connections introduced in a previous paper with the analytic continuation procedure appearing in the original article of Atiyah, Parodi and Singer.     

Harvesting in a pelagic fishery: The case of Northern Chile

This paper analyses the pelagic fishery of Northern Chile, estimating harvesting functions that contribute to understand why rather poor incentives to exit may predominate in pelagic fisheries, despite scarcer fish stocks. Our results show that pervessel catch's stock sensitivity (the catchtobiomass elasticity value) varies negatively with stock levels. Stock levels preceding a marked fall into biological overfishing would have been associated to biomass elasticities lower than the unitary value. This suggests that during catch bonanza periods, catchperunitofeffort would fail to detect a rapidly declining stock trend, increasing the risk of fishing collapse. Moreover, external economies in search efforts would have reduced the incentives to exit, particularly for the smaller vessels in our sample. Finally, we find evidence of either constant or increasing marginal returns in the use of pervessel fishing effort, which suggests that inefficiency in production has resulted from direct restrictions upon fishing effort. Overall, our findings provide consistent evidence that enhances the necessity of more efficient regulations upon harvesting in pelagic fisheries.     

损伤度函数模型用于3种钢层裂的二维数值模拟

 把损伤度函数模型嵌入到二维有限元程序DEFEL中，并对3种钢（HR-2钢、2169钢及45钢）的平板撞击层裂实验进行了数值模拟，在模拟中计及材料的屈服硬化效应和Bauschinger效应的影响，较好地再现了实测自由面的速度历史，同时给出了样品中的损伤分布及其发展。在数值模拟中发现，断裂面附近所受最大拉应力介于由声学近似解析计算的层裂强度和从三项式固体状态方程出发得出的断裂理论值之间，并对三者之间的差异作了分析，表明数值模拟结果是合理的。     

Flat Nonunimodular Lorentzian Lie Algebras

A flat Lorentzian Lie algebra is a left symmetric algebra endowed with a symmetric bilinear form of signature (?, +,…, +) such that left multiplications are skew-symmetric. In geometrical terms, a flat Lorentzian Lie algebra is the Lie algebra of a Lie group with a left-invariant Lorentzian metric with vanishing curvature. In this article, we show that any flat nonunimodular Lorentzian Lie algebras can be obtained as a double extension of flat Riemannian Lie algebras. As an application, we give all flat nonunimodular Lorentzian Lie algebras up to dimension 4.     

Natural Classes,Left Exact Preradicals,and Flat Epimorphisms

We define a function between the lattice of left exact preradicals in R-mod and the complete boolean lattice R-nat of natural classes in R-mod in such a way that the image of this function results to be a complete sublattice of R-nat. The image of this function is R-nat if and only if R is left semiartinian. We prove that every flat ring epimorphism from R to S induces a function between the lattice of left exact preradicals in R-mod and the lattice of left exact preradicals in S-mod. In this context, we obtain a lattice decomposition of S-nat for each left exact preradical.     

Software Engineering and complexity in effective Algebraic Geometry

One may represent polynomials not only by their coefficients but also by arithmetic circuits which evaluate them. This idea allowed in the past fifteen years considerable complexity progress in effective polynomial equation solving. We present a circuit based computation model which captures all known symbolic elimination algorithms in effective Algebraic Geometry and exhibit a class of simple elimination problems which require exponential size circuits to be solved in this model. This implies that the known, circuit based elimination algorithms are already optimal.