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.

Automated summary

This study establishes the existence of weak time-periodic solutions to the Navier-Stokes equations in three dimensional whole-space with time-periodic forcing terms. The solutions are constructed in such a way that the structural properties of their kinetic energy are obtained, without any restrictions on either the size or structure of the external force.