On perturbations of solutions to the Navier–Stokes equations with large initial data and their dynamics

2009 ◽  
Vol 71 (12) ◽  
pp. e2690-e2695 ◽  
Author(s):  
P. Kučera ◽  
J. Neustupa
Keyword(s):  
Initial Data ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Large Initial Data ◽  
Navier Stokes Equations

scholarly journals GLOBAL SOLUTION FOR THE GENERALIZED ANISOTROPIC NAVIER–STOKES EQUATIONS WITH LARGE DATA

2015 ◽  
Vol 20 (2) ◽  
pp. 205-231 ◽  
Author(s):  
Daoyuan Fang ◽  
Bin Han
Keyword(s):  
Initial Data ◽  
Besov Space ◽  
Global Solution ◽  
Stokes Equations ◽  
Large Data ◽  
Navier Stokes ◽  
Unique Global Solution ◽  
Large Initial Data ◽  
Navier Stokes Equations ◽  
Anisotropic Besov Space

We are concerned with 3D incompressible generalized anisotropic Navier– Stokes equations with hyperdissipative term in horizontal variables. We prove that there exists a unique global solution for it with large initial data in anisotropic Besov space.

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