Atomic decomposition of μ-bergman space in C

Let μ be a normal function on [0,1). The atomic decomposition of the μ-Bergman space in the unit ball B is given for all p > 0.     

Some Hermite–Hadamard type inequalities for geometrically quasi-convex functions

In the paper, we introduce a new concept ‘geometrically quasi-convex function’ and establish some Hermite–Hadamard type inequalities for functions whose derivatives are of geometric quasi-convexity.     

ATOMIC DECOMPOSITION OF μ-BERGMAN SPACE IN C~n

Let μ be a normal function on [0, 1). The atomic decomposition of the μ-Bergman space in the unit ball B is given for all p 0.     

Preparation and characterization of polyimide/pure silica zeolite hybrid films

In this study, amino derivative of pure silica zeolite nanocrystal (A‐PSZN) was dispersed into polyimide (PI) matrix to prepare PI/A‐PSZN hybrid films, and their thermal and mechanical properties, as well as hydrophobicity, were characterized scientifically. The test results show that PI/A‐PSZN hybrid films possess higher glass transition temperature, higher thermal stability and lower in‐plane coefficient of thermal expansion than pristine PI. The mechanical property data suggest that the incorporation of A‐PSZN results in an increase in Young's modulus and tensile strength of the hybrid films, but as its content exceeds the critical value (maybe 5 wt%), its enhancement effect on the hybrid's strength and toughness gets weaker. Furthermore, liquid dripping imaging analysis results indicate that the film's hydrophobicity is clearly improved by the introduction of A‐PSZN. As compared with PSZN, A‐PSZN exhibits better effect on enhancing the overall performance of pristine PI films. A comparison with other studies suggests that PI/A‐PSZN is a hybrid film with superior comprehensive properties. Copyright © 2013 John Wiley & Sons, Ltd.     

高温SHPB冲击实验技术及其应用

 为研究高温下材料的动态力学性能,研制了一套适用于分离式霍普金森压杆（Split Hopkinson Pressure Bar,SHPB）高温冲击实验的温控系统。利用该温控系统和Φ100 mm常规SHPB装置,对混凝土在高温下的动态力学性能进行了实验研究,实验温度分别为20、200、400、600、800和1 000 ℃。结果表明：由管式实时加热装置和箱式预加热炉组成的温控系统操作方便,实验效率高,试件组装方法简便可行;热传导导致的试件温度分布不均匀和压杆局部温升对实验结果产生的影响可以忽略,实验技术可靠;高温下混凝土动态力学性能的温度效应十分明显,相同冲击速率下,随温度升高,平均应变率逐渐增大,动态应力-应变曲线逐渐表现出塑性特性,动态抗压强度随温度升高先增大后减小,动态峰值应变随温度升高不断增大。     

带小扰动的随机发展方程的不变测度

本文考虑带小扰动的随机发展方程,证明如何建立此方程的耦合解.作为应用,我们证明解的Feller连续性和不变测度的存在唯一性.还进一步建立了当扰动趋于零时,关于这族不变测度的大偏差原理.     

球Couette流的数值模拟

该文利用谱方法对同心旋转球间轴对称Couette流进行数值模拟.给出Navier Stokes方程的流函数涡度形式,利用Stokes流把边界条件齐次化, 选取Stokes算子的特征函数做为逼近子空间的基函数,对同心旋转球间轴对称Couette流进行谱逼近     

Existence and multiplicity of nontrivial solutions for an elliptic equation on ℝ<Superscript><Emphasis Type="Italic">N</Emphasis></Superscript> with indefinite linear part

 Via the Linking Theorem and Pseudo-index theory, we consider the existence and multiplicity of nontrivial solutions for a class of elliptic problems in all of ℝ ^N with indefinite linear part involving resonance and non-resonance at any eigenvalue. Received: 9 September 2002 / Revised version: 14 February 2003 Published online: 24 April 2003 Mathematics Subject Classification (2000): 35J20, 35J70     

实验教学中的计算机仿真系统

阐述了实验教学中计算机仿真系统的基本内容、结构、特点、实现原理及其推广应用价值     

Existence of the non-radially symmetric ground state for p-Laplacian equations involving Choquard type

We consider some p-Laplacian type equations with sum of nonlocal term and subcritical nonlinearities. We prove the existence of the ground states, which are positive. Because of including p=2, these results extend the results of Li, Ma and Zhang [Nonlinear Analysis: Real World Application 45(2019) 1-25]. When p=2, N=3, by a variant variational identity and a constraint set, we can prove the existence of a non-radially symmetric solution. Moreover, this solution u(x₁, x₂, x₃) is radially symmetric with respect to (x₁, x₂) and odd with respect to x₃.