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math.AP2011
Global Solutions to the Lagrangian Averaged Navier-Stokes equation in low regularity Besov spaces
Nathan Pennington
The Lagrangian Averaged Navier-Stokes (LANS) equations are a recently derived approximation to the Navier-Stokes equations. Existence of global solutions for the LANS equation has…
math.AP2011
Local and global existence for the Lagrangian Averaged Navier-Stokes equations in Besov spaces
Nathan Pennington
We prove the existence of short time solutions to the incompressible, isotropic Lagrangian Averaged Navier-Stokes equation with low regularity initial data in Besov spaces $B^{r}_{…