植被护坡中植物根和岩土相互作用的力学分析

植被护坡借助植物根系使边坡土体成为土与根的复合材料,从而明显提高边坡土体的抗剪强度,增大边坡的安全稳定性．但是,目前的相关研究仍然停留在定性地分析上．文中试图在定量分析根和岩土相互作用方面进行探索性的工作,通过对草本植物的根系包括木本植物的侧根系与岩土体相互作用的分析,建立摩擦型根-土力学作用模型,并实验验证模型的正确性;对锚固型根亦即木本植物主根-土的作用也建立相互作用的力学模型．两类力学模型的建立为定量地分析植物根系与土体的相互关系提供了重要的理论指导,具有一定应用价值．     

图的中间图2-pebbling性质和Graham猜想

本文研究了图的2-pebbling性质和Graham猜想.利用图的pebbling数的一些结果,我们研究了路和圈的中间图具有2-pebbling性质,从而也证明了路的中间图满足Graham猜想.     

一般状态空间跳过程的不可约性

本文研究了一般状态空间跳过程的ψ-不可约性.利用与马氏链类似的方法,得到了最大不可约测度及其性质,推广了离散时间一般状态空间马氏链的结果,作为应用,给出了C∈E+的充分条件.最后,证明了跳过程、骨架链、跳跃链和预解链的ψ-不可约是等价的.     

关于序半群理想的根

Let S be an ordered semigroup.In this paper,we characterize ordered semigroups in which the radical of every ideal（right ideal,bi-ideal） is an ordered subsemigroup（resp.,ideal,right ideal,left ideal,bi-ideal,interior ideal） by using some binary relations on S.     

基于模糊集值映射的粗糙近似算子

给出基于模糊集值映射F的模糊集的下(上)近似等概念,研究F-下(上)近似算子aprF(aprF)的性质,探讨求它们的方法,得到若干结果.     

Optimal estimates of the field enhancement in presence of a bow-tie structure of perfectly conducting inclusions in two dimensions

This paper deals with the field enhancement due to insertion of a bow-tie structure of perfectly conducting inclusions into the two-dimensional space with a given field. The field enhancement is represented by the gradient blow-up of a solution to the conductivity problem. The bow-tie structure consists of two disjoint bounded domains which have corners with possibly different aperture angles. The domains are parts of cones near the vertices which are nearly touching to each other. We construct functions explicitly which characterize the field enhancement. As consequences, we derive optimal estimates of the gradient in terms of the distance between two inclusions and aperture angles of the corners. The estimates show in quantitatively precise way that the field is enhanced beyond the corner singularities due to the interaction between two inclusions, and the blow-up rate is much higher than the one for the case of inclusions with smooth boundaries.     

Ellipsoidal BGK model for polyatomic molecules near Maxwellians: A dichotomy in the dissipation estimate

We consider the global existence and asymptotic behavior of classical solutions to the ellipsoidal BGK model for polyatomic molecules when the initial data starts sufficiently close to a global polyatomic Maxwellian. We observe that the linearized relaxation operator is decomposed into a truly polyatomic part and an essentially monatomic part, leading to a dichotomy in the dissipative property in the sense that the degeneracy of the dissipation shows an abrupt jump as the relaxation parameter θ reaches zero. Accordingly, we employ two different sets of micro–macro system to derive the full coercivity and close the energy estimate.     

含参广义集值强向量平衡问题的稳定性

本文借助集合极限的性质和弱f-性假设证明了含参广义集值强向量平衡问题解集映射的下半连续性,其方法不同于最近文献(Zhao,2016和Meng,2018).此外,建立了含参广义集值强向量平衡问题解集连通性的充分条件,并举例验证了所得结果的正确性.本文得结果推广和改进了已有文献(Gong,2008,Xu,2009,Chen,2010,Xu,2013和Zhao,2013)中相应结果.     

一个Grüs型积分不等式的单参数推广

利用Cauchy中值定理给出Pachpatte B G建立的一个Grüss型积分不等式的单参数推广.