New Way for Solving Naiver - Stokes Equation

Abstract

This paper gives a new way for solving Navier - Stokes equation (N - S equation for short in following) by using following steps: Step 1, Sets up Wind - Pressure/density equation (1), suits for points in air (na∈A=∪na) and solves solutions ua and pa/ρa. (1 s). Step 2. Sets up Wave equation, described by NS equation (2), suits for points in sea (ns∈S=∪ns), and solutions us and ps/ρs. (2s) (unknown) Step 3. Sets up Wind - Wave equation (3), by (3) = (1) ∩ (2), suits for points in boundary between air and sea. (nas∈A∩S) and their solutions: ua,us and pa/ρa , ps/pa/ρa, .(3s). Step 4. Sets up boundary conditions by For differential form, ua= us and pa/pa = ps/pa. (4s1). For integral form. The wind dynamic energy = Potential energy of the high of sea. (4s2). Now, we have : the solutions of (2s) is solved by (3s) and by (4s1), i.e., ua = us and pa/ρa = ps/ρs. Or (1) = (2) . Then (2) is solved.