分数阶p-Laplacian系统两点边值问题的解

利用Schaefer不动点定理研究了分数阶p-Laplacian系统两点边值问题解的存在性,通过将系统转化为算子方程,在非线性项满足一定增长性的条件下得到了系统至少存在一个解的充分条件,并给出了相关的应用.     

Segregation of alloying atoms at a tilt symmetric grain boundary in tungsten and their strengthening and embrittling effects

We investigate the segregation behavior of alloying atoms （Sr, Th, In, Cd, Ag, Sc, Au, Zn, Cu, Mn, Cr, and Ti） near Z3 （ 111 ） [1]-0] tilt symmetric grain boundary （GB） in tungsten and their effects on the intergranular embrittlement by performing first-principles calculations. The calculated segregation energies suggest that Ag, Au, Cd, In, Sc, Sr, Th, and Ti prefer to occupy the site in the mirror plane of the GB, while Cu, Cr, Mn, and Zn intend to locate at the first layer nearby the GB core. The calculated strengthening energies predict Sr, Th, In, Cd, Ag, Sc, Au, Ti, and Zn act as embrittlers while Cu, Cr, and Mn act as cohesion enhancers. The correlation of the alloying atom＇s metal radius with strengthening energy is strong enough to predict the strengthening and embrittling behavior of alloying atoms; that is, the alloying atom with larger metal radius than W acts as an embrittler and the one with smaller metal radius acts as a cohesion enhancer.     

一类分数阶微分方程积分边值问题正解的分歧性

利用分歧方法和拓扑度理论,研究了一类带参数的分数阶微分方程积分边值问题正解的存在性.根据格林函数的性质,得到了系统正解的存在的若干充分条件.最后,通过数值例子验证了所得结果的有效性.     

氧离子导体La2Mo2-xMxO9(M=Cr,W)的理论研究

采用第一性原理方法研究了高温β-La₂Mo₂O₉中Mo被Cr或W取代后晶体的结构性质和高温相稳定性.研究发现Cr和W分别倾向于占据具有4配位数和5配位数的Mo位.W取代体系晶胞参数相对取代浓度非线性变化.该非线性变化与W离子取代位置配位数降低以及体系内La—O和Mo(W)—O平均键长非线性变化有关.内聚能计算表明W取代Mo后能够有效稳定高温相结构,降低相变温度.La₄Mo₃W₁关键词： 氧离子导体 第一性原理 晶体结构 相稳定性