几类Euler型微分方程的求解

提出几类Euler（欧拉）型微分方程。借助变量替换法、线性化法、降阶法、交换变量位置法及复合函数求导法则，转化为可求解的Euler方程。论证它们的可积性，扩大微分方程的可积范围。给出求解的方法及通积分的表达式．

凸角域上的椭圆Neumann问题的H^2正则性

对凸角域上的 Neumann问题△ u+au=f inΩ , u n=0 on Ω ,这里 a≥ 0是Ω上的有界可测函数且不恒为 0 ,我们证明了 :若 f∈ L2 (Ω) ,则解 u∈ H2 (Ω) ,且有正则性估计‖ u‖ 2 ,Ω≤ C‖ f‖ 0 ,Ω.

Mathematical Model and Intelligent Control of a Quadcopter, with Non-conventional Membership Functions

This paper shows detailed steps for modeling a quadcopter with Euler-Lagrange equations, followed by controlling it with intelligent control that includes states decoupling. In addition, this control shows non-conventional membership functions for the most instable states, in order to get a fast and effective response.

Notes on the Incompressible Euler and Related Equations on R^N

The author reviews briefly some of the recent results on the blow-up problem for the incompressible Euler equations on RN,and also presents Liouville type theorems for the incompressible and compressible fluid equations.