scholarly journals Stationary Navier–Stokes equations with critically singular external forces: Existence and stability results

2013 ◽  
Vol 241 ◽  
pp. 137-161 ◽  
Author(s):  
Tuoc Van Phan ◽  
Nguyen Cong Phuc
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Existence And Stability ◽  
External Forces ◽  
Stationary Navier Stokes Equations ◽  
Stability Results

scholarly journals The Navier–Stokes equations on the plane with time-dependent external forces

2021 ◽  
Vol 2 (4) ◽  
Author(s):  
Masao Yamazaki
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Almost Periodic ◽  
Existence Of A Solution ◽  
Navier Stokes Equations ◽  
Time Periodic Solutions ◽  
The Stability ◽  
External Forces ◽  
Stationary Navier Stokes Equations ◽  
Time Periodic

AbstractWe are concerned with the non-stationary Navier–Stokes equations on the whole plane with external forces which are non-decaying in time, and give a sufficient condition on the external forces for the existence of a solution which exists for whole time. Typical examples are time-periodic solutions and solutions almost periodic in time. The stability under perturbation is also verified.

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