关于液体遇竖直坚固器壁平面时表面高度的奇摄动问题

A SINGULAR PERTURBATION PROBLEM OF THE SURFACE HEIGHT THEN LIQUID MEETS THE PLANE OF VERTICAL SOLD WALL OF IMPLEMENT

先从理论上研究了超二次奇摄动Robin问题εy″=h(t,y)f(y′),t∈[0,L],y(0,ε)-py′(0,ε)=A(ε),y(L,ε)+qy′(L,ε)=B(ε),然后给出了这一问题解的估计,并证明了解的渐近性.最后,将这一理论用于解决液体遇竖直固器壁平面时,表面高度的问题.

In this paper, the author studies the super quadratic singular perturbation Robin problem εy″=h(t,y)f(y′), t∈, y(0,ε)-py′(0,ε)=A(ε), y(L,ε)+qy′(L,ε)=B(ε), and obtains the estimate of solution. Then, the author gives the proof of solution of the symptotic behavior. At last, the author applies the theory in solving the surface height problem when liguid meets the plane of vertical solid wall of implement.