Existence and uniqueness of time-periodic solutions with finite kinetic energy for the Navier–Stokes equations in {\mathbb R}^3

Nonlinearity ◽  
2011 ◽  
Vol 25 (1) ◽  
pp. 37-55 ◽  
Author(s):  
Ana Leonor Silvestre
Keyword(s):  
Kinetic Energy ◽  
Periodic Solutions ◽  
Existence And Uniqueness ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Time Periodic Solutions ◽  
Time Periodic

scholarly journals Weak Solutions and Their Kinetic Energy Regarding Time-Periodic Navier–Stokes Equations in Three Dimensional Whole-Space

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1528
Author(s):  
Mads Kyed
Keyword(s):  
Kinetic Energy ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Periodic Forcing ◽  
Navier Stokes Equations ◽  
Whole Space ◽  
Time Periodic Solutions ◽  
Time Periodic

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.

Sign in / Sign up

Export Citation Format

Share Document