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.).
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)
- Mechanical Engineering