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 been proven for initial data in the Sobolev space H3/4,2(R3) and in the Besov space Bn/2 2,q (Rn). In this paper, we use an interpolation-based method to prove the existence of global solutions to the LANS equation with initial data in B3/p p,q (R3) for any p > n.
|Original language||English (US)|
|Number of pages||28|
|Journal||Advances in Differential Equations|
|State||Published - Dec 1 2012|
All Science Journal Classification (ASJC) codes
- Applied Mathematics