具奇异源p-Laplace方程的多重径向正解

考虑具非齐次边值条件的p-Laplace方程多重径向正解的存在性,借助于Guo-Krasnoselskii锥不动点定理,得到了至少三个径向正解的存在性.     

Existence of Non-trivial Nonnegative Periodic Solutions for a Nonlinear Diffusion System

In this paper, by the method of upper and lower solutions, we establish the existence of the non-trivial nonnegative periodic solutions for a class of degenerate diffusion system arising from dynamics of biological groups.     

Critical exponents of evolutionary p-laplacian with interior and boundary sources

This paper is concerned with the evolutionary p-Laplacian with interior and boundary sources.The critical exponents for the nonlinear sources are determined.     

一类非线性扩散系统非平凡非负周期解的存在性

In this paper,by the method of upper and lower solutions,we establish the existence of the non-trivial nonnegative periodic solutions for a class of degenerate diffusion system arising from dynamics of biological groups.     

TIME PERIODIC SOLUTION TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN A PERIODIC DOMAIN

This article is concerned with the time periodic solution to the isentropic compressible Navier-Stokes equations in a periodic domain. Using an approach of parabolic regularization, we first obtain the existence of the time periodic solution to a regularized problem under some smallness and symmetry assumptions on the external force. The result for the original compressible Navier-Stokes equations is then obtained by a limiting process.The uniqueness of the periodic solution is also given.     

Kac-Moody群及其旗流形的庞加莱级数和有理同伦型

研究了不定型的Kac-Moody群及其旗流形的有理上同调.通过从庞加莱级数提取关于同调的信息,能够决定Kac-Moody群及其旗流形的有理上同调环.因为这些空间都是有理formal的空间,也决定了它们的有理同伦群及有理同伦型.     

具非线性源的非散度型扩散方程的临界指标

主要研究一类具非线性源的非散度型扩散方程的渐近性质.在研究非线性源指数的临界指标理论的同时,也讨论了解的不熄灭性.     

缝合复合材料层间开裂的试验和数值研究

缝合复合材料层合板中贯穿厚度方向的缝线,能有效增强层合板的抗分层能力。本文对一种碳纤/环氧缝合复合材料层板进行了短梁三点弯试验,测得了压头的载荷-位移曲线,并观察了层间裂纹的扩展,证实了缝线对层间裂纹的阻滞作用。建立了三维有限元模型模拟了上述试验,模型中相邻的铺层之间布置了一层初始无厚度的界面单元,界面单元的失效自然模拟层间开裂,而缝线简化为面积等效的梁单元,数值结果与试验观测吻合。