Stellar models with generalized polytropic equation of state

We find new classes of exact solutions to the Einstein field equations where the matter distribution satisfies a generalized polytropic equation of state. The matter distribution is uncharged with anisotropic pressures. Equations of state for polytropes and quark matter are contained as special cases. The matter variables and metric potentials can be obtained explicitly. Known solutions, for the choice of the gravitational potential made in this analysis, arise as special cases for particular choice of the equation of state parameters. A detailed physical analysis indicates that the model is well behaved.     

东北地区冬季气温对海温异常响应的研究

利用HadISST OI海温和中国东北地区92站逐日气温资料,使用广义平衡反馈分析方法(GEFA)结合EOF分析方法(GEFA-EOF)研究了近50a中国东北地区冬季气温对海表温度异常(SSTA)的响应.结果表明:对于热带和北半球中纬度5个海盆来说,东北地区冬季气温异常与同期热带大西洋和北大西洋海温异常有密切关系,与其他海盆关系不显著;热带大西洋的"正—负—正"三极型模态(TA3)以及北大西洋纬向上"正—负—正"三极型模态(NA3)分别对东北地区冬季气温的异常偏低和偏高有显著的强迫作用,且对北部地区的强迫作用大于南部地区.热带大西洋和北大西洋对东北地区冬季气温异常影响的可能途径为:热带大西洋TA3模态通过在北半球激发的"正—负—正"的遥相关波列,致使东亚大槽移至贝加尔湖地区,有利于极地冷空气南下至东北地区,导致该地区的冷冬;北大西洋的"正—负—正"三极型模态(NA3)直接响应使得东亚大槽减弱消失,极地冷空气南下受阻,导致该地区冬季气温异常偏高.     

广义帕雷托分布在波浪极值推算中的应用

以CCMP风场(1988年1月~2010年12月)为驱动,本文采用第三代海浪数值模式SWAN对中国海海区进行风浪场的数值模拟,并利用浮标资料对驱动风场和计算有效波高进行验证。根据模拟的结果分别采用广义帕雷托分布(GPD)和常用的广义极值分布(GEV)拟合累积频率曲线并进行效果检验,进而分析和比较2种分布的优缺点,并运用广义帕雷托分布(GPD)模型进行重现期波要素的推算,分析GPD模型的应用前景。     

一类二阶非线性微分方程解的估计

应用渐近比较的方法研究二阶非线性微分方程y＋p（t）g（y）＝0解的性质，得到该方程的所有解y（t）均满足估计式的条件。其中G（y）     

Seasonal Variability in the Kuroshio Extension Current System

Based on the GDEM hydrographic data with a resolution of 0.5°×0.5°, the current system (Kuroshio south of Japan and Kuroshio Extension east of Japan) is determined by using the P-Vector Method, and its seasonal variability is investigated. The Kuroshio Meander south of Japan, the two lee-wave meanders in the Kuroshio Extension and the bifurcation of the Kuroshio Extension are properly presented. The path of the Kuroshio Meander, the position of the second (east) meander in the Kuroshio Extension and the bifurcation of the Kuroshio Extension display evident seasonal variation.     

包含冻结过程的广义位温及位涡特征分析

为了对比分析降水过程中不同表达形式热力学变量和位涡时空分布特点,本文针对2017年7月13～14日吉林省强降水过程,利用模式输出资料对常规位温（θ）、相当位温（θ_e）、包含凝结概率函数的广义位温（θ_Gao）、包含冻结概率函数的广义位温（θ_Wang）和同时涵盖凝结过程与冻结过程（θ_Gu）五种不同形式位温进行计算,并分析五种对应位涡[PV(θ)、PV(θ_e)、PV(θ_Gao)、PV(θ_Wang)、PV(θ_Gu)]与降水的关系。结果表明,引入冻结概率函数的广义位温（θ_Wang）和对应的广义湿位涡PV(θ_Wang)与强降水的对应性更好。θ_Wang与θ_Gao差异集中在降水区对流层中高层5～11 km,前者始终高于后者,最大差异达2.5 K,说明冻结概率函数的引入扩大了广义位温的适用范围,更适合描述降水区湿大气非均匀饱和热力状态。五种位涡的差异主要在降水区上空12 km以下,由θ_Gao和θ_Wang定义的位涡PV(θ_Gao)和PV(θ_Wang)的正负异常中心更为明显。相比于PV(θ_Gao)和PV(θ_Wang)异常值更大,差异可达±0.2 PVU,这主要是由于冻结概率函数的引入增大降水区上空广义位温,促使冻结区的湿位涡异常增强。     

利用阿拉斯加台阵资料分析2008年汶川大地震的破裂过程

2008年5月12日,四川省汶川县发生M_S8.0地震.我们利用美国阿拉斯加区域台网的部分宽频带地震台构成广义台阵, 应用非平面波台阵技术——迁移叠加方法,获得了这次地震的高频（>0.1 Hz）能量辐射源随时间和空间变化的图像.图像表明,这次地震破裂从震中开始向北东方向扩展约300 km,震源过程至少长达90 s,平均破裂速度为3.4 km/s;整个过程可分为两大阶段,前段持续时间50 s,破裂长度约110 km,破裂传播的平均速度为2.2 km/s,后段持续时间约40 s,长度约190 km,平均破裂速度为4.8 km/s.这意味着地震过程的后期似乎发生了超S波破裂,而且后段很可能为前段动态触发所致.     

中国区域气候极值重现水平的非平稳模型及趋势分析

应用基于GEV(Generalized Extreme Value)分布的平稳/非平稳极值概率模型,拟合中国区域489站自建站至2013年极端最高、最低温度和日最大降水量的年极值序列,并导出极值的重现水平及其变率随重现期和时间变化的一般表达式。着重分析了气候极值的"常态"(重现期为2年)与"极端态"(重现期为50年)的变化趋势及其线性变率的空间格局。详细探讨了极值的常态与极端态变化趋势相反的原因以及可能的影响。结果表明,极端最高温度在东部季风区普遍适用平稳模型;在其他地区更适用非平稳模型,其常态和极端态都以增温为主。极端最低温度在全国范围内普遍适用非平稳模型,其常态和极端态也都以增温为主,但在东北局部地区极端态呈现与常态相反的降温趋势。日最大降水量则在全国范围内普遍适用平稳模型。当GEV分布的尺度参数随时间变化时,与极值的常态相比,极端态的变率范围要大得多,并可能导致两者的变率异号的情形;尤其是当气候极值的常态日趋平缓而极端态却日益极端时,可能导致更为剧烈的灾害性天气。     

Computation of spherical harmonic coefficients from gravity gradiometry data to be acquired by the GOCE satellite: regularization issues

The issue of optimal regularization is investigated in the context of the processing of satellite gravity gradiometry (SGG) data that will be acquired by the GOCE (Gravity Field and Steady-State Ocean Circulation Explorer) satellite. These data are considered as the input for determination of the Earths gravity field in the form of a series of spherical harmonics. Exploitation of a recently developed fast processing algorithm allowed a very realistic setup of the numerical experiments to be specified, in particular: a non-repeat orbit; 1-s sampling rate; half-year duration of data series; and maximum degree and order set to 300. The first goal of the study is to compare different regularization techniques (regularization matrices). The conclusion is that the first-order Tikhonov regularization matrix (the elements are practically proportional to the degree squared) and the Kaula regularization matrix (the elements are proportional to the fourth power of the degree) are somewhat superior to other regularization techniques. The second goal is to assess the generalized cross-validation method for the selection of the regularization parameter. The inference is that the regularization parameter found this way is very reasonable. The time expenditure required by the generalized cross-validation method remains modest even when a half-year set of SGG data is considered. The numerical study also allows conclusions to be drawn regarding the quality of the Earths gravity field model that can be obtained from the GOCE SGG data. In particular, it is shown that the cumulative geoid height error between degrees 31 and 200 will not exceed 1 cm. AcknowledgmentsThe authors thank Dr. E. Schrama for valuable discussions and for computing the orbit used to generate the long data set. They are also grateful to Prof. Tscherning and two anonymous reviewers for numerous valuable remarks and suggestions. The orbit to generate the short data set was kindly provided by J. van den IJssel. Computing resources were provided by Stichting Nationale Computerfaciliteiten (NCF), grant SG-027.     

Characterization of the Frequency of Extreme Earthquake Events by the Generalized Pareto Distribution

Recent results in extreme value theory suggest a new technique for statistical estimation of distribution tails (Embrechts et al., 1997), based on a limit theorem known as the Gnedenko-Pickands-Balkema-de Haan theorem. This theorem gives a natural limit law for peak-over-threshold values in the form of the Generalized Pareto Distribution (GPD), which is a family of distributions with two parameters. The GPD has been successfully applied in a number of statistical problems related to finance, insurance, hydrology, and other domains. Here, we apply the GPD approach to the well-known seismological problem of earthquake energy distribution described by the Gutenberg-Richter seismic moment-frequency law. We analyze shallow earthquakes (depth h<70 km) in the Harvard catalog over the period 1977–2000 in 12 seismic zones. The GPD is found to approximate the tails of the seismic moment distributions quite well over the lower threshold approximately M 10²⁴ dyne-cm, or somewhat above (i.e., moment-magnitudes larger than m _W =5.3). We confirm that the b-value is very different (b=2.06 ± 0.30) in mid-ocean ridges compared to other zones (b=1.00 ± 0.04) with a very high statistical confidence and propose a physical mechanism contrasting crack-type rupture with dislocation-type behavior. The GPD can as well be applied in many problems of seismic hazard assessment on a regional scale. However, in certain cases, deviations from the GPD at the very end of the tail may occur, in particular for large samples signaling a novel regime.