非线性边界条件的Burgers－KdV方程的静态解

对几类非线性边值条件，讨论了Ｂｕｒｇｅｒｓ－ＫｄＶ方程的边值问题的静态解的存在性和解的个数．借助不动点定理，证明了该边值问题至少有一个，至多有有限个静态解．     

Solar modulation model with reentrant particles

We developed a one dimensional model of particle transport in the heliosphere. As opposite to widely used models, we apply a method where a quasi-particle is traced back in time. The model gives us the possibility to work on the possible existence of reentrant particles in the heliosphere that can be hardly solved by the traditional forward tracking method. Particles escape from the heliosphere and may reenter back. We estimate how these particles affect the modulation process in the heliosphere. Presented here are the results for different values of particles mean free path in the interstellar space and for different interstellar magnetic field values.     

Hale引理证明的修正

本文指出了著名的Ｈａｌｅ引理证明中的不足之处，并给以完善。     

广义行列式及其应用

定义了一种广义行列式 ,并由此给出Gramer法则的一种推广     

脉冲随机微分系统的均方指数稳定性分析

研究了脉冲随机时滞微分泛函方程的均方指数稳定性问题。利用Lyapunov-Razumikhin型方法及随机分析的一些技巧,建立了一类脉冲随机泛函微分方程的均方指数稳定性定理。     

网格生成方程中非线性系数对网格正交和分布的影响研究

通过数学分析，对椭圆型方程非线性系数对生成网格的正交性和空间分布的影响进行了研究，理论分析和数值结果均表明，系数β具有控制网格正交性的作用，系数α和γ具有调节网格空间分布的作用，且其调节的强增和作用与其比值有直接关系，基于此提出了一种混合型边界条件的给定方法，较好地实现了网格正交和疏密分布的控制。     

周边固支环扇形板静力学问题的小波方法

根据相关文献，将拟Shannon小波配置法应用到环扇形板的混合状态方程中，构造出了环扇形板平面方向离散，而厚度方向是解析的混合状态方程。因为用拟Shannon小波张量积表示的近似解是离散形式的，所以固支边界的未知应力可以近似地用内点的应力和位移来表示。数值实例验证了本文方法的正确性。     

Indirect search for Dark Matter with H.E.S.S.

Observations of the Galactic center region with the H.E.S.S. telescopes have established the existence of a steady, extended source of gamma-ray emission coinciding with the position of the super massive black hole Sgr A^*. This is a remarkable finding given the expected presence of dense self-annihilating Dark Matter in the Galactic center region. The self-annihilation process is giving rise to gamma-ray production through hadronization including the production of neutral pions which decay into gamma-rays but also through (loop-suppressed) annihilation into final states of almost mono-energetic photons. We study the observed gamma-ray signal (spectrum and shape) from the Galactic center in the context of Dark Matter annihilation and indicate the prospects for further indirect Dark Matter searches with H.E.S.S.     

NUMERICAL SIMULATION ON MULTI-FLUID INTERFACES

INTRODUCTIONThe study on phenomenon of multi- fluid in-terface driven by shock waves include:( 1 ) totrack the motion of multimaterial interfaces;( 2 )to simulate the chemical reaction on the inter-faces. As the pioneering work,chemical reactionis neglected in this paper. The objective is totrack the interfaces. Of course,the fluids aretreated as compressible medium under such ahigh impact.Although Eulerian schemes workwell for most gas flows,they have been shownto be too dissipative nea…     

计算机翼跨声速绕流的全速位积分方程数值解

本文利用格林定理将全速位方程转换为全速位积分方程，应用高斯定理对沿激波面的显式积分进行简化。将全速位积分方程的解表示成为面元项和场元项之和，然后离散进行数值求解。本文将激波捕捉方法和激波装配技术结合起来，对机翼跨声速绕流进行数值实验，计算结果令人满意。