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Gevrey Class Smoothing Effect for the Prandtl Equation

Gevrey Class Smoothing Effect for the Prandtl Equation

It is well known that the Prandtl boundary layer equation is unstable for general initial data, and is well-posed in Sobolev space for monotonic initial data. Recently, under the Oleinik's monotonicity assumption for the initial datum, R. Alexandre, Y. Wang, C.-J. Xu, and T. Yang [J. Amer. Math. Soc., 28 …