scholarly journals Global solutions of Navier–Stokes equations for large initial data belonging to spaces with dominating mixed smoothness

2015 ◽  
Vol 31 (2) ◽  
pp. 147-161
Author(s):  
Hans Triebel
Keyword(s):  
Initial Data ◽  
Stokes Equations ◽  
Global Solutions ◽  
Navier Stokes ◽  
Large Initial Data ◽  
Navier Stokes Equations ◽  
Dominating Mixed Smoothness ◽  
Mixed Smoothness

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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