2021/02/22 by Yanyou Qiao, Qiao, Yanyou
Engineering · #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #General Mathematics (math.GM) #Reservoir Engineering and Simulation Methods
paper · pdf · doi:10.48550/arxiv.2102.11873
openalex publication_date 2021/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For the N>=2 dimensional incompressible Naver-Stokes Equation, We have got its solution as a power series of time t, in which the coefficients are all known functions determined only by the initial velocity v0. We also prove that the solution series is convergent globally, so that the existence and smoothness problem are solved.