Global regularity to the 3D incompressible Navier–Stokes equations with cone-condition

2020 ◽  
Vol 104 ◽  
pp. 106278
Author(s):  
Yi Zhu
Keyword(s):  
Global Regularity ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Cone Condition ◽  
Navier Stokes Equations

Large-frequency global regularity for the incompressible Navier–Stokes equation

1999 ◽  
Vol 129 (5) ◽  
pp. 903-912
Author(s):  
Joel D. Avrin
Keyword(s):  
Boundary Conditions ◽  
Global Regularity ◽  
Stokes Equations ◽  
Strong Solutions ◽  
Dirichlet Boundary Conditions ◽  
Navier Stokes ◽  
Thin Domains ◽  
Navier Stokes Equation ◽  
Navier Stokes Equations ◽  
Incompressible Navier Stokes Equation

We obtain global existence and regularity of strong solutions to the incompressible Navier–Stokes equations for a variety of boundary conditions in such a way that the initial and forcing data can be large in the high-frequency eigenspaces of the Stokes operator. We do not require that the domain be thin as in previous analyses. But in the case of thin domains (and zero Dirichlet boundary conditions) our results represent a further improvement and refinement of previous results obtained.

scholarly journals Global regularity for some classes of large solutions to the Navier-Stokes equations

2011 ◽  
Vol 173 (2) ◽  
pp. 983-1012 ◽  
Author(s):  
Jean-Yves Chemin ◽  
Isabelle Gallagher ◽  
Marius Paicu
Keyword(s):  
Global Regularity ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Large Solutions
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