In this paper,we prove the existence and uniqueness of global weak solution of Non Newton Filtration equation with a kind of nonlinear boundary condition.

In the system of two energy levels atom, based on the quantum theory and considering the effects of the outfield on the atom system, we can get the conclusion that the direction of external force is contrary to average acceleration, which conflicts with quantum Newton equation.

In this paper the scattered angle in central force field is calculated by using calculus of functional vector analysis on base of Newton equation and the law of conservation of angular momentum, it avoides complex calculations in general textbook on basics of orbital equation of central force field.

Flue existence of the solution to the Cauchy Problem for non-Newton and multioritation permeating equation u_t=div(｜u~m｜~(p-2)u~m) is considered,where 0<m≤1,p>1,the initial value u_0∈C~∞(R~N) and is given a certain increasing property.

Three dimensional pressure distribution and temperature field of the bear in water lubrication and its difference between the bear in oil lubrication were analyzed in numerical simulating through solving the law-of-the-wall and Reynolds equation with finite elements method(FEM),and the changes of lubricant viscosity with temperature were taken into account.

Based on the revised Reynolds equation, a program, AirSlider, was developed with VC6.

Based on the lubrication theory and the characteristic of configuration, the mathematical model of aerostatic spherical bearing was established from the general form of Reynolds equation.