Communications in Mathematical Sciences
Volume 11 (2013)
On the local existence of analytic solutions to the Prandtl boundary layer equations
Pages: 269 – 292
We address the local well-posedness of the Prandtl boundary layer equations. Using a new change of variables we allow for more general data than previously considered, that is, we require the matching at the top of the boundary layer to be at a polynomial rather than exponential rate. The proof is direct, via analytic energy estimates in the tangential variables.
boundary layer, Prandtl equation, well-posedness, real-analyticity, matched asymptotics, inviscid limit
2010 Mathematics Subject Classification
35Q35, 76N10, 76N20