Abstract
We consider the Stokes and Navier-Stokes equations in a bounded domain with analytic boundary. We present a direct, robust, energy-type approach for establishing the instantaneous gain of space-time analyticity of the solution from any Sobolev smooth initial datum, with analyticity radius which is uniform up to the curved boundary.
Original language | English (US) |
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Pages (from-to) | 3375-3422 |
Number of pages | 48 |
Journal | Transactions of the American Mathematical Society |
Volume | 373 |
Issue number | 5 |
DOIs | |
State | Published - 2020 |
Keywords
- Bounded domain
- Gevrey regularity
- Real analyticity
- Stokes equation
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics