We address the problem of analyticity up to the boundary of solu- tions to the Euler equations in the half space. We characterize the rate of decay of the real-analyticity radius of the solution u(t) in terms of exp ft 0||δu(s)||L∞ds, improving the previously known results. We also prove the persistence of the sub-analytic Gevrey-class regularity for the Euler equations in a half space, and obtain an explicit rate of decay of the radius of Gevrey-class regularity.
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics