半黎曼空间形式的极大类空叶状结构

设Ｆ是半黎曼空间形式Ｎｎ＋ｐｐ（ｃ）上的余维ｐ的极大类空叶状结构，如果标准度量是类丛的，则ｃ≥０，如果Ｆ的叶子还是完备的，则Ｆ是全测地叶状结构     

一阶非线性分布参数系统的惯性流形与滑动模控制

给出一阶非线性分布参数系统的有限维惯性流形的存在性条件，得到了系统的滑动模方程式，并且讨论了通过取有限维反馈控制，得到系统全局稳定的条件，最后运用所得到的结果解决一个工程上的热加工控制问题。     

一个非线性动力系统的吸引子

本文证明了由一类非线性反应扩散方程第三初边值问题生成的半群的全局吸引子的存在.     

星形胶质细胞低温去分化条件

体外纯化培养的成熟星形胶质细胞经冷冻复苏方法处理后,诱导转化为放射状胶质细胞的类似细胞(RGLCs细胞).星形胶质细胞的诱导转化率与其冷冻过程的温度、时间有关.冷冻保护液中的DMSO对星形胶质细胞的诱导转化过程无关.这些结果显示冷冻复苏方法诱导星形胶质细胞的转化是由物理刺激诱导的.     

川东高陡构造成因地质模式与含气性分析

川东高陡构造位于四川盆地东部 ,由一系列 NE-NNE向的隔档式褶皱组成。其构造变形经历了由隔槽式褶皱到“两背一断”,最终形成隔挡式褶皱的演化过程。在“两背一断”先存构造研究基础上 ,按继承发展的观点 ,综合运用伸展构造、反转构造、断层相关褶皱等构造新理论 ,系统探讨了川东高陡构造形成演化的成因地质模式 ,结合志留系主力生烃层的生气高峰期 ,对地腹不同成因类型的构造圈闭含气性进行了分析。     

Global analysis theory of climate system and its applications

The idea and main theoretical results of the global analysis theory of climate system are briefly summarized in this paper. A theorem on the global behavior of climate system is given, i.e. there exists a global attractor in the dynamical equations of climate, any state of climate system will be evolved into the global attractor as time increases,indicating the nonlinear adjustment process of climate system to external forcing. The different effects of external forcing, dissipation and nonlinearity on the long-term behavior of solutions are pointed out, and some main applications of the global analysis theory are also introduced. Especially, three applications, the adjustment and evolution processes of climate, the principle of numerical model design and the optimally numerical integration, are discussed.     

Supertasks, dynamical attractors and indeterminism

Atkinson [2006. Losing energy in classical, relativistic and quantum mechanics. in Studies in History and Philosophy of Modern Physics, 38 To appear.] has obtained some new results on supertasks and the violation of conservation laws. I discuss these results here, extending them from a different perspective, which, by focusing on considerations of indeterminism, facilitates the natural introduction in this context of the concept of dynamical attractor.     

窄域上2维弱阻尼KdV方程的局部性质

研究窄域上 2维的非自共轭且非扇形的弱阻尼KdV方程的局部性质 得到该类系统的局部动力学行为 通过对非自共轭算子的不等式估计 ,解决窄域上 2维弱阻尼KdV方程局部吸引子的存在性