A class of rotational solutions for the N-dimensional incompressible Navier–Stokes equations

作者：

Highlights：

• Constructing vector solutions for incompressible Navier–Stokes equations.

• Present a sufficient and necessary condition for the existence of the solutions.

• Such solutions can be explicitly expressed by an appropriate formulae.

摘要

•Constructing vector solutions for incompressible Navier–Stokes equations.•Present a sufficient and necessary condition for the existence of the solutions.•Such solutions can be explicitly expressed by an appropriate formulae.

论文关键词：The incompressible Navier–Stokes equations,Rotational solutions,Symmetric matrix,Quadratic form,Curve integration

论文评审过程：Available online 24 August 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.07.091