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

作者：Liu Ping^*

来源：Applied Mathematics and Computation, 2014, 245: 504-508.

DOI：10.1016/j.amc.2014.07.091

• The incompressible Navier-Stokes equations
• Rotational solutions
• Symmetric matrix
• Quadratic form
• Curve integration

In this paper, we present a sufficient and necessary condition for the existence of a class of rotational exact solutions u = b(t) + A(t)x for general N-dimensional incompressible Navier-Stokes equations. Such solutions are global and can be explicitly expressed by appropriate formulae. Once the required matrix A(t) is chosen, the solution u is directly obtained.

• 出版日期2014-10-15
• 单位天津师范大学