Weak Solutions And Their Kinetic Energy Regarding Time-Periodic Navier-Stokes Equations In Three Dimensional Whole-Space

The existence of weak time-periodic solutions to Navier-Stokes equations in three dimensional whole-space with time-periodic forcing terms are established. The solutions are constructed in such a way that the structural properties of their kinetic energy are obtained. No restrictions on either the size or structure of the external force are required.