Radiation energy flux of Dirac field of static spherically symmetric black holes

By the statistical entropy of the Dirac field of the static spherically symmetric black hole, the result is obtained that the radiation energy flux of the black hole is proportional to the quartic of the temperature of its event horizon. That is, the thermal radiation of the black hole always satisfies the generalised Stenfan--Boltzmann law. The derived generalised Stenfan--Boltzmann coefficient is no longer a constant. When the cut-off distance and the thin film thickness are both fixed, it is a proportional coefficient related to the space--time metric near the event horizon and the average radial effusion velocity of the radiation particles from the thin film. Finally, the radiation energy fluxes and the radiation powers of the Schwarzschild black hole and the Reissner--Nordstrõm black hole are derived, separately.     

Modified characteristic finite difference fractional step method for moving boundary value problem of nonlinear percolation system

A fractional step scheme with modified characteristic finite differences running in a parallel arithmetic is presented to simulate a nonlinear percolation system of multilayer dynamics of fluids in a porous medium with moving boundary values. With the help of theoretical techniques including the change of regions, piecewise threefold quadratic interpolation, calculus of variations, multiplicative commutation rule of difference operators, multiplicative commutation rule of difference operators, decomposition of high order difference operators, induction hypothesis, and prior estimates, an optimal order in l ² norm is displayed to complete the convergence analysis of the numerical algorithm. Some numerical results arising in the actual simulation of migration-accumulation of oil resources by this method are listed in the last section.     

渗流耦合系统动边值问题特征分数步差分方法

对多层渗流方程耦合系统动边值问题,提出适合并行计算的一类特征分数步差分格式,利用区域变换、变分形式、粗细网格配套、乘积型叁二次插值、差分算子乘积交换性、高阶差分算子的分解、先验估计的理论和技巧,得到收敛性的最佳阶l2误差估计．该方法已成功地应用到多层油资源运移聚集的资源评估生产实际中,得到了很好的数值模拟结果．     

离子伯恩斯坦波对低杂波驱动电流影响的研究

利用改进的二维Fokker-Planck方程和低杂波射线轨迹程序研究了在低杂波和离子伯恩斯坦波协同作用下低杂波的功率沉积分布、驱动电流分布。数值结果显示在两波协同作用下低杂波驱动非感应电流的效率得到了很大的改善。     

Careful numerical simulation and analysis of migration-accumulation of Tanhai Region

Numerical simulation of careful parallel arithmetic of oil resources migration-accumulation of Tanhai Region (three-layer) was done. Careful parallel operator splitting-up implicit iterative scheme, parallel arithmetic program, parallel arithmetic information and alternating-direction mesh subdivision were put forward.Parallel arithmetic and analysis of different CPU combinations were done. This numerical simulation test and the actual conditions are basically coincident. The convergence estimation of the model problem has successfully solved the difficult problem in the fields of permeation fluid mechanics, computational mathematics and petroleum geology.     

Parallel arithmetic numerical simulation and application of secondary migration-accumulation of oil resources

From such actual conditions as the effects of characteristics of miltilayer petroleum geology and permeation fluid mechanics, a new numerical model is put forward and coupling splitting-up implicit interactive scheme is formed. For the actual situation of Dongying hollow ( four-layer ) and Tanhai region ( three-layer ) of Shengli Petroleum Field, the numerical simulation test results and the actual conditions are coincident.     

多层油资源运移聚集的数值模拟和实际应用

研究了三维问题的石油地质和渗流力学特征。提出了数学模型,构造了新的算子分裂隐式迭代格式,并成功地对胜利油田东营凹陷(厚层)和惠民凹陷(多层)带断层和通道的实际问题进行了大规的数值模拟计算。计算结果在油藏位置等方面和实际情况相吻合,完整地解决了这一石油地质和渗流力学的国际着名问题。     

分形介质声子导热的频域问题

本文论证了分形介质中声子导热的必要条件，给出了分形介质定容比热的频域。结果表明，同一材料的分形介质定容比热恒小于均匀介质的定容比热。     

n阶非线性泛函微分不等式的强振动性质

本文考虑了非线性泛函微分不等式x(t)[x~(n)(t)+p(t)f(x(t),x(g(t)))+r(t)]≤0的振动性,其中n为偶数。给出了相应不等式x(t)[x~(n)(t)+λp(t)f(x(t),x(g(t)))+r(t)]≤0,λ>0,的所有解是振动的充分条件。本文的结果改进和推广了已知的一些结果。     

非圆截面环流器FY-1实验(Ⅰ)——被动运行部分

本文简略地描述了FY-1装置结构、等离子体基本参数的测量和等离子体位形的调试,初步考察了硬X射线产额与工作气压的关系。实验分析表明,FY-1装置已形成的等离子体环流放电属于逃逸放电。在场成形线圈作被动运行时,通过改变其回路连接方式和外串电感值,可适当调节等离子体平衡位置和位形。MHD平衡计算与实验测量拟合结果表明,等离子体截面可调节为不同截面积和拉长比(k=1.1—1.4)的椭圆。