二阶退化拟线性抛物型方程解的存在性

本文研究二阶退化拟线性抛物型方程的初－边值问题．在适当带权的Ｓｏｂｏｌｅｖ空间,我们利用伪单调算子理论证明了解的存在性．     

一类退化扩散方程组解的性质

In this paper, we prove some properties of solutions to a class of degener-ate diffusion systems which arise from modeling interacting evolution of two biological groups.     

处理退化问题的一类SQP算法

本文对不等式优化问题提出了一个修正的序列二次规划算法(SQP).该算法适用于退化问题一积极约束梯度线性相关且严格互补条件不成立,并且算法是可行的,具有整体收敛与超线性收敛性.     

具吸收项的退化抛物问题的有限元误差估计

1　引　　言本文将考虑下列退化抛物方程的Ｇａｌｅｒｋｉｎ逼近ｕｔ =Δβ(ｕ) - ｆ(ｕ)　　在Ω× ( 0 ,Ｔ]内 ( 1 .1 )ｕ(ｘ ,ｔ) =0　　　　　　　在 Ω× ( 0 ,Ｔ]上 ( 1 .2 )ｕ(ｘ ,0 ) =ｕ0 (ｘ)　　在Ω内(1 .3)其中Ω Ｒｎ 是有界凸域 ,0 <Ｔ <∞ .β(ｖ) (ｖ∈Ｒ)是满足 β( 0 ) =β′( 0 ) =0且 β′≥ 0的函数 因此 ,( 1 1 )是退化的非线性抛物方程 方程 ( 1 1 )具有深刻的物理背景[1] ,文献 [2 - 3]讨论了方程 ( 1 1 )的特殊形式—多孔介质方程 (ＰＭＥ)的数值方法 关于ＰＭＥ解的存在性、唯一性和正则性已有许多结果 …     

不同化学反应机理对甲烷射流湍流扩散 火焰计算结果影响的研究

在分析甲烷－空气氧化反应动力学过程的基础上,采用四步简化机理和两种半详细的化学反应动力学机理－＠机理和Ｙ机理,对甲烷射流扩散燃烧的发浓度和温度进行了数值模拟,计算结果与实验结果进行了对比分析。其结果表明,不同的化学反应机理对甲烷射流扩散燃烧的计算结果有明显影响,对其中退化分支链式反应的重要性进行了讨论。     

Local Bifurcation of Critical Periods for a Class of Liénard Equations

In this paper,we study the local bifurcation of critical periods near the nondegenerate center(the origin) of a class of Liénard equations with degree 2n,and prove that at most 2n-2 critical periods(taken into account multiplicity) can be produced from a weak center of finite order.We also prove that it can have exactly2n-2 critical periods near the origin.     

An Inverse Problem of Identifying the Radiative Coefficient in a Degenerate Parabolic Equation

The authors investigate an inverse problem of determining the radiative coefficient in a degenerate parabolic equation from the final overspecified data. Being different from other inverse coefficient problems in which the principle coefficients are assumed to be strictly positive definite, the mathematical model discussed in this paper belongs to the second order parabolic equations with non-negative characteristic form, namely, there exists a degeneracy on the lateral boundaries of the domain. Based on the optimal control framework, the problem is transformed into an optimization problem and the existence of the minimizer is established. After the necessary conditions which must be satisfied by the minimizer are deduced, the uniqueness and stability of the minimizer are proved. By minor modification of the cost functional and some a priori regularity conditions imposed on the forward operator, the convergence of the minimizer for the noisy input data is obtained in this paper. The results can be extended to more general degenerate parabolic equations.     

一个带退化工件的单机准时生产制问题

研究带退化工件的单机排序问题,即工件的加工时间是其开始加工时间的线性递增函数,且不同的工件具有不同的退化率.要求为所有工件寻找一共同的最优交货期和最优序,以极小化这些工件的共同交货期、超前罚和迟后罚之和.给出了一O(nlogn)时间的最优算法.     

典型磨损情况下的内燃机性能退化预测

通过内燃机热力学建模,考察了两类典型的磨损情况对整机性能的影响:一类是由于磨损和变形而引起的气门间隙变化(进而导致气门升程变化),另一类是由于缸套-活塞组件之间的磨损而引起的漏气间隙变化.通过分析可知,发动机在运行中的磨损等结构退化现象使发动机的性能大幅下降.因此,应当在设计阶段通过抗磨损的摩擦学设计等手段,延长关键部件的正常工作寿命.     

The reliability of AlGaN/GaN high electron mobility transistors under step-electrical stresses

In spite of their extraordinary performance, AlGaN/GaN high electron mobility transistors (HEMTs) still lack solid reliability. Devices under accelerated DC stress tests (off-state, V_DS =0 state, and on-state step-stress) are investigated to help us identify the degradation mechanisms of the AlGaN/GaN HEMTs. All our findings are consistent with the degradation mechanism based on crystallographic-defect formation due to the inverse piezoelectric effects in Ref. [1] (Joh J and del Alamo J A 2006 IEEE IDEM Tech. Digest p. 415). However, under the on-state condition, the devices are suffering from both inverse piezoelectric effects and hot electron effects, and so to improve the reliability of the devices both effects should be taken into consideration.