Abstract
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 |
|---|---|
| Pages (from-to) | 697-724 |
| Number of pages | 28 |
| Journal | Advances in Differential Equations |
| Volume | 17 |
| Issue number | 7-8 |
| State | Published - 2012 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Cite this
Global solutions to the lagrangian averaged navier-stokes equation in low-regularity besov spaces. / Pennington, Nathan.
In: Advances in Differential Equations, Vol. 17, No. 7-8, 2012, p. 697-724.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Global solutions to the lagrangian averaged navier-stokes equation in low-regularity besov spaces
AU - Pennington, Nathan
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84893721791&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84893721791&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84893721791
VL - 17
SP - 697
EP - 724
JO - Advances in Differential Equations
JF - Advances in Differential Equations
SN - 1079-9389
IS - 7-8
ER -