Asymptotics of the Teichmüller harmonic map flow

The Teichmüller harmonic map flow, introduced by Rupflin and Topping (2012)  [11], evolves both a map from a closed Riemann surface to an arbitrary compact Riemannian manifold, and a constant curvature metric on the domain, in order to reduce its harmonic map energy as quickly as possible. In this paper, we develop the geometric analysis of holomorphic quadratic differentials in order to explain what happens in the case that the domain metric of the flow degenerates at infinite time. We obtain a branched minimal immersion from the degenerate domain.     

浅析偏导数恒为零的二元函数的特征

本文分析了一定条件下一阶偏导数恒为零的二元函数的特征,同时给出了条件改变时结论不一定成立的例子.在此基础上又探讨了二阶偏导数恒为零的情形下二元函数的特征,并给出了相应的例子.     

Propagation of radially polarized beams in the oceanic turbulence

Based on the extended Huygens–Fresnel principle and the unified theory of coherence and polarization of light, we investigate the propagation properties of a radially polarized beam through turbulent ocean. Analytic formulae for the spectral density, the spectral degree of polarization, and the beam characteristics of such a beam on propagation are discussed. It is shown that under the influence of oceanic turbulence, the radially polarized beam will change to a partially polarized one and the beam profile will approach to a Gaussian distribution.     

关于一类半环上的格林关系的若干研究

研究了加法半群是带,乘法半群是完全正则半群的半环上的格林关系,给出了˙L∧+D(+L,+R)是同余关系的充分必要条件,证明了由这些同余关系所决定的半环类都是半环簇,并给出了这些半环簇的Mal′cev积分解.     

The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds

For a sequence of approximate Dirac-harmonic maps from a closed spin Riemann surface into a stationary Lorentzian manifold with uniformly bounded energy, we study the blow-up analysis and show that the Lorentzian energy identity holds. Moreover, when the targets are static Lorentzian manifolds, we prove the positive energy identity and the no neck property.

     

Pharmacodynamic Differential Serum Chromatography for Identifying the Pharmacodynamic Material Basis of a Traditional Chinese Medicine

The modernization and marketing of traditional Chinese medicine is difficult primarily because its pharmacodynamic material basis has not been elucidated. Moreover, a central problem is the lack of effective research methods and strategies. After >20 years of study, here, we propose the theory of pharmacodynamic differential serum chromatography. The method described here can be used to identify (and possibly develop) effective pharmacodynamic materials. In light of the theory, we identified hydroxysafflor yellow A (HSYA) to be the effective pharmacodynamic material of Carthamus tinctorius L. (safflower). With the help of the methodology described here, the modernization and understanding of traditional Chinese medicine may be accelerated.

     

关于三圈图的拉普拉斯谱半径的一些结果

边数等于点数加二的连通图称为三圈图.~设 ~$\Delta(G)$~和~$\mu(G)$~
分别表示图~$G$~的最大度和其拉普拉斯谱半径,设${\mathcal
T}(n)$~表示所有~$n$~阶三圈图的集合,证明了对于~${\mathcal
T}(n)$~的两个图~$H_{1}$~和~$H_{2}$~,~若~$\Delta(H_{1})>
\Delta(H_{2})$ ~且 ~$\Delta(H_{1})\geq \frac{n+7}{2}$,~则~$\mu
(H_{1})> \mu (H_{2}).$ 作为该结论的应用,~确定了~${\mathcal
T}(n)(n\geq9)$~中图的第七大至第十九大的拉普拉斯谱半径及其相应的极图.     

超疏水膜的制备及其在膜蒸馏过程中的应用

超疏水材料具有超高的憎水性和自清洁特性,因而在解决材料的润湿和污染方面具有广泛的应用前景。膜蒸馏是一种以多孔疏水膜两侧蒸汽压差为推动力的膜分离过程,是脱盐和水回用中的重要技术。然而膜润湿和污染问题是导致膜蒸馏过程出水品质下降和应用过程稳定性差的关键。本文以膜蒸馏过程为背景,系统介绍了蒸馏过程的发展状况和超疏水膜材料的制备方法,以及超疏水膜在膜蒸馏中的应用,探讨了超疏水膜材料在膜蒸馏过程中的优势,同时指出了其不足和可能的解决方法,以期为膜蒸馏材料的发展提供研究方向和思路。