$$L^2_f$$ L f 2 -harmonic 1-forms on smooth metric measure spaces with positive $$\lambda _1(\Delta _f)$$ λ 1 ( Δ f )

In this paper, we study vanishing and splitting results on a complete smooth metric measure space \((M^n,g,\mathrm {e}^{-f}\mathrm {d}v)\) with various negative m-Bakry-Émery Ricci curvature lower bounds in terms of the first eigenvalue \(\lambda _1(\Delta _f)\) of the weighted Laplacian \(\Delta _f\), i.e., \(\mathrm {Ric}_{m,n}\ge -a\lambda _1(\Delta _f)-b\) for \(0<a\le \dfrac{m}{m-1}, b\ge 0\). In particular, we consider three main cases for different a and b with or without conditions on \(\lambda _1(\Delta _f)\). These results are extensions of Dung and Vieira, and weighted generalizations of Li-Wang, Dung-Sung, and Vieira.

     

产气荚膜梭菌ε毒素的细胞毒机制及致病机理的研究进展

产气荚膜梭菌ε毒素（Epsilon toxin ，ETX）由B、D型产气荚膜梭菌产生并分泌至宿主动物体内，在临床上主要症状为肠毒血症．ETX属于以七聚体形式存在的β‐样成孔毒素，它能够形成由14个β折叠片组成的“β‐桶状”结构，这个“β‐桶状”结构可以插入真核细胞的质膜形成穿孔．在细胞水平，ETX能够迅速使细胞膜肿胀、多种细胞器破坏，最终导致靶细胞的坏死．在哺乳动物体内，ETX能够使哺乳动物血管产生水肿，从而穿透血脑屏障而聚积在动物肾和脑中，导致机体随着谷氨酸盐的释放而产生过度兴奋，这一系列反应的发生可以引起机体出现脑水肿和肾衰竭，最终导致动物的死亡．目前， ETX备受关注的主要原因不仅仅因为它是一种β‐样成孔毒素，而是可以作为潜在的一种工具类药物，经改造后可以携带治疗药物在短时间内靶向性地到达哺乳动物脑和中枢神经系统，继而为脑和中枢神经系统疾病的治疗提供新的方向．结合国内外相关研究，对ETX细胞毒机制及致病机理进行了综和评述．     

An approach of dynamic mesh adaptation for simulating 3‐dimensional unsteady moving‐immersed‐boundary flows

In this paper, we present an approach of dynamic mesh adaptation for simulating complex 3‐dimensional incompressible moving‐boundary flows by immersed boundary methods. Tetrahedral meshes are adapted by a hierarchical refining/coarsening algorithm. Regular refinement is accomplished by dividing 1 tetrahedron into 8 subcells, and irregular refinement is only for eliminating the hanging points. Merging the 8 subcells obtained by regular refinement, the mesh is coarsened. With hierarchical refining/coarsening, mesh adaptivity can be achieved by adjusting the mesh only 1 time for each adaptation period. The level difference between 2 neighboring cells never exceeds 1, and the geometrical quality of mesh does not degrade as the level of adaptive mesh increases. A predictor‐corrector scheme is introduced to eliminate the phase lag between adapted mesh and unsteady solution. The error caused by each solution transferring from the old mesh to the new adapted one is small because most of the nodes on the 2 meshes are coincident. An immersed boundary method named local domain‐free discretization is employed to solve the flow equations. Several numerical experiments have been conducted for 3‐dimensional incompressible moving‐boundary flows. By using the present approach, the number of mesh nodes is reduced greatly while the accuracy of solution can be preserved.     

仿生非光滑花纹沟对轮胎抗滑水性能的影响

以205/55R16乘用车轮胎为研究对象,采用计算流体动力学建立了考虑胎面花纹变形的轮胎滑水分析模型;以气-液二相流数值模型分析了轮胎的滑水性能,并将临界滑水速度仿真值与NASA滑水速度预测值及轮胎发生滑水时力平衡下的速度进行对比.在此基础上,引入仿生减阻理念,研究了夹角为60°、高度为0.6mm的仿生对称V形结构对花纹沟排水量和水流阻力的影响,并将其结构特征信息等效移植到接地区轮胎花纹沟底,进行了仿生花纹轮胎的滑水性能分析.结果表明:所建滑水分析模型可用来分析轮胎滑水时的流体运动特性;相对原花纹轮胎,仿生非光滑花纹沟轮胎通过提高接地区花纹沟内水流速度,降低了胎面动水压力,提高了临界滑水速度.     

THz wave emission from argon in two-color laser field

Terahertz(THz) wave emission from argon atom in a two-color laser pulses is studied numerically by solving the one-dimensional(1D) time-dependent Schr ¨odinger equation. The THz spectra we obtained include both discontinuous and continuum ones. By using the special basis functions that we previously proposed, our analysis points out that the discontinuous and continuum parts are contributed by bound–bound and continuum–continuum transition of atomic energy levels. Although the atomic wave function is strongly dressed during the interaction with laser fields, our identification for the discontinuous part of the THz wave shows that the transition between highly excited bound states can still be well described by the field-free basis function in the tunneling ionization regime.     

大学生勤工助学体验性学习实践模式探索

以北京联合大学的大学生勤工助学体验性学习实践为例,通过课题研究,探讨了适用于高校大学生勤工助学体验性学习实践的模式。     

Direct Transformation of Arenols Based on C—O Activation

In the view of substrate availability, atomic efficiency and cost, directly using arenols as coupling partners in cross‐coupling, would be one of the most attractive goals. Up to date, many efforts have been made to activate the C—O bond of phenols with different strategies, for example, through in‐situ formed intermediates, through a catalytic reductive dearomatization‐condensation‐rearomatization sequence or catalytic deoxygenation. In this review, we summarized recent advances in cross‐couplings of arenols as the electrophiles via C—O activation.