Classical Fundamental Unique Solution for the Incompressible Navier-Stokes Equation in R^<i>N</i>  

作　　者：Waleed S. Khedr 

机构地区：[1]Independent Researcher, Cairo, Egypt

出　　处：《Journal of Applied Mathematics and Physics》2017年第4期939-952,共14页应用数学与应用物理（英文）

摘　　要：We present a class of non-convective classical solutions for the multidimensional incompressible Navier-Stokes equation. We validate such class as a representative for solutions of the equation in bounded and unbounded domains by investigating the compatibility condition on the boundary, the smoothness of the solution inside the domain and the boundedness of the energy. Eventually, we show that this solution is indeed the unique classical solution for the problem given some appropriate and convenient assumptions on the data.We present a class of non-convective classical solutions for the multidimensional incompressible Navier-Stokes equation. We validate such class as a representative for solutions of the equation in bounded and unbounded domains by investigating the compatibility condition on the boundary, the smoothness of the solution inside the domain and the boundedness of the energy. Eventually, we show that this solution is indeed the unique classical solution for the problem given some appropriate and convenient assumptions on the data.

关 键 词：Fluid MECHANICS NAVIER-STOKES Equation FUNDAMENTAL Solutions 

分 类 号：O1[理学—数学]