H1弱拓扑中GBBM方程整体吸引子的存在性

文章讨论无界区域上GBBM方程的Cauchy问题,对方程的解进行了先验估计,并证明了在H1弱拓扑中整体吸引子的存在性.     

OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES

The article is concerned with oscillation of nonautonomous neutral dynamic delay equations on time scales. Sufficient conditions are established for the existence of bounded positive solutions and for oscillation of all solutions of this equation. Some results extend known results for difference equations when the time scale is the set Z of positive integers and for differential equations when the time scale is the set R of real numbers.     

LD端抽运平直腔Nd:YVO4固态激光器的输出功率特性研究

对LD端抽运平直腔Nd:YVO₄固态激光器输出功率特性受激光器内在诸因素(热透镜效应、腔长、激活孔径等)的制约关系进行了研究.并用传播圆-变换圆图解分析方法给出了合理的解释，同时，对进一步提高其输出功率特性指出了方向. 关键词： 固体激光器 热透镜 变换圆 平直腔     

On existence of solutions for some hyperbolic-parabolic-type chemotaxis systems

In this paper, we discuss the local and global existence ofweak solutions for some hyperbolic–parabolic systems modellingchemotaxis.     

单晶和多晶纯铝蠕变过程中的内耗

研究了单晶和多晶纯铝蠕变过程中的低频内耗. 在单晶纯铝中观察到: 内耗在蠕变初期单调下降, 在蠕变第一阶段后期出现了一个显著的时间内耗峰, 在蠕变第二阶段内耗趋于稳定值. 多晶纯铝在类似实验条件下则不出现时间内耗峰. 文中分析了出现时间内耗峰的条件和原因, 认为它是由于蠕变第一阶段中运动位错的阻尼系数逐渐增大所引起的. 文中还从蠕变过程中位错运动的微观机制出发, 推导出了蠕变过程中内耗的表达式, 满意地解释了实验结果. 关键词：     

Numerical solution of differential equations using Sinc method based on the interpolation of the highest derivatives

In general, we will use the numerical differentiation when dealing with the differential equations. Thus the differential equations can be transformed into algebraic equations and then we can get the numerical solutions. But as we all have known, the numerical differentiation process is very sensitive to even a small level of errors. In contrast it is expected that on average the numerical integration process is much less sensitive to errors. In this paper, based on the Sinc method we provide a new method using Sinc method incorporated with the double exponential transformation based on the interpolation of the highest derivatives (SIHD) for the differential equations. The error in the approximation of the solution is shown to converge at an exponential rate. The numerical results show that compared with the exiting results, our method is of high accuracy, of good convergence with little computational efforts. It is easy to treat nonhomogeneous mixed boundary condition for our method, which is unlike the traditional Sinc method.     

Solvothermal synthesis of TiO2: anatase nanocrystals and rutile nanofibres from TiCl4 in acetone

This work reports a new synthetic approach for single‐phase TiO₂ nanomaterials by solvothermal treatment of titanium tetrachloride in acetone at 80–110 °C. Small, uniform, and yet size‐tunable (5–10 nm) anatase titania nanocrystallites were obtained using a low concentration of TiCl₄ in acetone (i.e., at molar ratios of TiCl₄/acetone ≤ 1:15) in the temperature range of 80–110 °C, while rutile nanofibers were synthesized using a high concentration of TiCl₄ (e.g., TiCl₄/acetone = 1:10) at 110 °C. Copyright © 2007 John Wiley & Sons, Ltd.     

充分发挥物理学在建设创新型国家中的基础作用

胡锦涛主席在全国科技大会上提出的，坚持走中国特色自主创新道路，建设创新型国家的口号，正在激励全国各族人民为实现我国中长期发展目标而奋斗．如何理解、实践这个口号，把每个行业、每个领域建设成创新型子系统，从而使整个国家有效地向着创新型国家目标发展，是13亿中国人民共同的任务，是历史赋予当代炎黄子孙的使命。我们必须在深入学习、研究理解胡锦涛主席关于“坚持走中国特色的自主创新道路，为建设创新型国家而奋斗”重要讲话的基础上，对本专业领域的创新型发展提出奋斗目标，作出科学规划。为此，我们就此主题谈一些想法，以期引起物理学界和教育界的朋友们深入思考、研究。