Prefer a chat interface with context about you and your work?
On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion
In this article we study local and global well-posedness of the Lagrangian Averaged Euler equations. We show local well-posedness in Triebel-Lizorkin spaces and further prove a Beale-Kato-Majda type necessary and sufficient condition for global existence involving the stream function. We also establish new sufficient conditions for global existence in terms …