Almost Global Existence for the Prandtl Boundary Layer Equations
نویسندگان
چکیده
منابع مشابه
Almost Global Existence for the Prandtl Boundary Layer Equations
We consider the Prandtl boundary layer equations on the half plane, with initial datum that lies in a weighted H1 space 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 ε of a stable profile, then the unique solution of the C...
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ABSTRACT. 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. Communications in Mat...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2015
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-015-0942-2