Abstract
In this paper, we study two types of Prandtl equations in the analytical setting. For the classical Prandtl equation, we prove the sharpness for the lifespan of the solution obtainedby Paicu and Zhang (2011). For the Prandtl equation with damping derived from MHD boundary layer,we prove the global well-posedness for small analytic data and finite time blowup for large analytic data.
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