Mathematics – Analysis of PDEs
Scientific paper
2006-08-27
SIAM J. Math. Anal. Volume 40, Issue 4, pp. 1499-1515 (2008)
Mathematics
Analysis of PDEs
Scientific paper
This paper provides results on local and global existence for a class of solutions to the Euler equations for an incompressible, inviscid fluid. By considering a class of solutions which exhibits a characteristic growth at infinity we obtain an initial value problem for a nonlocal equation. We establish local well-posedness in all dimensions and persistence in time of these solutions for three and higher dimensions. We also examine a weaker class of global solutions.
Saxton Ralph
Tiglay Feride
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