基于高斯-柯西变异帝国竞争算法的微电网优化调度

为提高微电网运行经济性,建立了以微电网综合运行成本最小为目标函数的微电网优化调度模型。利用高斯变异和柯西变异对帝国竞争算法进行改进,采用高斯-柯西帝国竞争算法对微电网优化调度模型进行求解,并与其他优化算法对比分析。结果表明,高斯-柯西帝国竞争算法求解的微电网综合运行成本为4485.62元,低于其他优化算法;调度方案能够优化微电网系统内各分布式电源出力,合理与上级配电网交换电能,使微电网综合运行成本最小。验证了模型的正确性及求解方法的优越性。

A Class of the Quasilinear Hyperbolic Equations with the Inhomogenous Terms

In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms: u_■+σ(v)+2α(t)u=0.v_■-u-0 Under the certain of hypothesis.we prove the globally existence theorems of the smooth solutions for its Cauchy problem.

Using Max Ent Model to Predict Suitable Habitat Changes for Key Protected Species in Koshi Basin,Central Himalayas

Because of its landscape heterogeneity,Koshi Basin（KB） is home to one of the world＇s most abundant,diverse group of species.Habitat change evaluations for key protected species are very important for biodiversity protection in this region.Based on current and future world climate and land cover data,MaxE nt model was used to simulate potential habitat changes for key protected species.The results shows that the overall accuracy of the model is high（AUC 0.9）,suggesting that the MaxE nt-derived distributions are a close approximation of real-world distribution probabilities.The valley around Chentang Town and Dram Town in China,and Lamabagar and the northern part of Landtang National Park in Nepal are the most important regions for the protection of the habitat in KB.The habitat area of Grus nigricollis,Panax pseudoginseng,and Presbytis entellus is expected to decrease in future climate and land cover scenarios.More focus should be placed on protecting forests and wetlands since these are the main habitats for these species.

LIFE-SPAN OF CLASSICAL SOLUTIONSTO QUASILINEAR HYPERBOLIC SYSTEMSWITH SLOW DECAY INITIAL DATALIFE-SPAN OF CLASSICAL SOLUTIONSTO QUASILINEAR HYPERBOLIC SYSTEMSWITH SLOW DECAY INITIAL DATA

The author considers the life-span of classical solutions to Cauchy problem for general first order quasilinear strictly hyperbolic systems in two independent variables with "slow" decay initial data. By constructing an example, first it is illustrated that the classical solution to this kind of Cauchy problem may blow up in a finite time, even if the system is weakly linearly degenerate. Then some lower bounds of the life-span of classical solutions are given in the case that the system is weakly linearly degenerate. These estimates imply that, when the system is weakly linearly degenerate, the classical solution exists almost globally in time. Finally, it is proved that Theorems 1.1-1.3 in [2] are still valid for this kind of initial data.

Energy Decay for the Cauchy Problem of the Linear Wave Equation of Variable Coeffcients with Dissipation

Decay of the energy for the Cauchy problem of the wave equation of variable coefficients with a dissipation is considered. It is shown that whether a dissipation can be localized near infinity depends on the curvature properties of a Riemannian metric given by the variable coefficients. In particular, some criteria on curvature of the Riemannian manifold for a dissipation to be localized are given.

Instability of Standing Waves for Hamiltonian Wave Equations

This paper deals with the standing wave for a Hamiltonian nonlinear wave equation which can be viewed as a representative of the class of equations of interest.On the one hand,by proving a compactness lemma and solving a variational problem,the existence of the standing wave with ground state for the aforementioned equation is proved.On the other hand,the authors derive the instability of the standing wave by applying the potential well argument,the concavity method and an invariant region under the solution flow of the Cauchy problem for the equation under study,and the invariance of the region aforementioned can be shown by introducing an auxiliary functional and a supplementary constrained variational problem.