Integral Representations of the Large and Little Schröder Numbers

In the paper, the authors establish several integral representations for the generating functions of the large and little Schröder numbers and for the large and little Schröder numbers.     

Mesoscopic Modeling of Capillarity-Induced Two-Phase Transport in a Microfluidic Porous Structure

Mesoscopic modeling at the pore scale offers great promise in exploring the underlying structure transport performance of flow through porous media. The present work studies the fluid flow subjected to capillarity-induced resonance in porous media characterized by different porous structure and wettability. The effects of porosity and wettability on the displacement behavior of the fluid flow through porous media are discussed. The results are presented in the form of temporal evolution of percentage saturation and displacement of the fluid front through porous media. The present study reveals that the vibration in the form of acoustic excitation could be significant in the mobilization of fluid through the porous media. The dependence of displacement of the fluid on physicochemical parameters like wettability of the surface, frequency along with the porosity is analyzed. It was observed that the mean displacement of the fluid is more in the case of invading fluid with wetting phase where the driving force strength is not so dominant.     

Three-term polynomial progressions in subsets of finite fields

We prove that the group of diffeomorphisms of the interval [0, 1] contains surface groups whose action on (0, 1) has no global fix point and such that only countably many points of the interval (0, 1) have non-trivial stabiliser.     

On Necessary Optimality Conditions with Higher-Order Complementarity Slackness for Set-Valued Optimization Problems

Set-Valued and Variational Analysis - We aim to establish Karush-Kuhn-Tucker multiplier rules involving higher-order complementarity slackness under Hölder metric subregularity. These rules...     

衬底对单层二硫化钼光学性质的影响

为了实现二硫化钼器件化应用,通过机械剥离和PMMA纳米转移相结合的方法,研究二氧化硅、氮化硅和蓝宝石衬底对单层二硫化钼拉曼光谱以及光致发光光谱的影响.实验结果表明,单层二硫化钼在二氧化硅、氮化硅及蓝宝石衬底间转移会释放应力.氮化硅和蓝宝石衬底对单层二硫化钼引入p型掺杂,导致转移后拉曼光谱中的403 cm-1处A1g峰发生0.48 cm-1和1.20 cm-1的蓝移,光致发光光谱中的位于662 nm处的I峰有5.44 nm和12.73 nm的红移.本工作对单层二硫化钼的应用具有重要意义.