Local and global existence for the Lagrangian Averaged Navier-Stokes equations in Besov spaces
Through the use of a non-standard Leibntiz rule estimate, we prove the existence of unique short time solutions to the incompressible, iso-tropic Lagrangian Averaged Navier-Stokes equation with initial data in the Besov space $B^{r}_{p,q}(mathbb{R}^n)$, $r>0$, for $p>n$ and $ngeq 3$. When...
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| Format: | Article |
| Language: | English |
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Texas State University
2012-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/89/abstr.html |