Stability of Navier-Stokes Equation(Ⅱ)

In this paper. we make some comparisons between the solutions for Narier-Stokesequation and those .for heat conduction equation.In his study of Navier-Stokes equation .Professor J.Leray. a Frenehmathematician and authority on partial differential equation, starting from heatconduction equation, obtained some results of properly posed of certain initialboundary value problems of Navier-Stokes equation. Professor R. Temam of University de Paris XI and other experts in this field also brought up the possibility ofcomparing these two classes of equations. This paper attempts to describe and provethe .fundamental difference between these two.

Stability of Navier-Stokes Equation(Ⅰ)

In this paper. we make some comparisons between the solutions for Narier-Stokesequation and those .for heat conduction equation.In his study of Navier-Stokes equation .Professor J.Leray. a Frenehmathematician and authority on partial differential equation, starting from heatconduction equation, obtained some results of properly posed of certain initialboundary value problems of Navier-Stokes equation. Professor R. Temam of University de Paris XI and other experts in this field also brought up the possibility ofcomparing these two classes of equations. This paper attempts to describe and provethe .fundamental difference between these two.

模糊滞后积分微分方程解的性质(英文)

讨论了一类模糊滞后积分微分方程u·(t)=∫t0g(t,s,u(s))ds+f(t,xt)的性质.利用Banach不动点定理和模糊集度量空间的性质证明了这类方程解的存在性、惟一性和连续依赖性.

模糊泛函积分方程解的有界性

探讨了2类模糊泛函积分方程解的有界性,给出了2类模糊泛函积分方程存在有界解的充分条件.

惯性定律的新证法

本文从实对称矩阵的角度 ,给出了惯性定律的一种新证法 .这种证法可使我们从已给的一个实二次型 f( x1 ,x2 ,… ,xn) =∑ni,j=1aijxixj 的矩阵 A=( aij) n× n的诸元素 ,来直接研究这个二次型的性质的这一体系更加完整 .同时 ,本文还大大地改进了雅可比方法 ,使雅可比的方法更加完美 ,应用更加广泛 .