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The Solution of Navier Stokes Equation for Incompressible Flow around Ball

For more than one hundred years fluid mechanics has developed quickly, but the basic dynamics equation Navier Stokes is not solved (non simplified solution). This paper has solved the problem, using the way of setting undetermined coefficient with equation balance technique and has proved the existence of its solution. Besides, the pressure p would not be negative under the condition of Newton fluid. Because the N S equation is applicable to all fields of real number, the range of pressure p has to be limited (p0 ).This is the boundary constraint condition based on breakaway flow. This technique is a universal method to solve N S equation, suited to other coordinate systems and boundary conditions more complex than ball surface, and may be used in the research of the 3.4 dimension compressible viscous flow.