Abstract
We consider the Prandtl boundary layer equations on the half plane, with initial datum that lies in a weighted H1space with respect to the normal variable, and is real-analytic with respect to the tangential variable. The boundary trace of the horizontal Euler flow is taken to be a constant. We prove that if the Prandtl datum lies within (Formula presented.) of a stable profile, then the unique solution of the Cauchy problem can be extended at least up to time (Formula presented.).
Original language | English (US) |
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Pages (from-to) | 809-848 |
Number of pages | 40 |
Journal | Archive for Rational Mechanics and Analysis |
Volume | 220 |
Issue number | 2 |
DOIs | |
State | Published - May 2016 |
ASJC Scopus subject areas
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering