Abstract
We consider an initial-boundary problem for the non-stationary Prandtl system, describing the process of development of the two-dimensional boundary layer in the vicinity of the rear point of a symmetric body. Using methods developed by O. A. Oleynik, we prove that the problem we pose has a unique solution. We also obtain estimates that can characterize the qualitative behavior and asymptotics of the solution.
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Samokhin, V.N. Formation of the Boundary Layer in the Neighborhood of the Rear Point. Journal of Mathematical Sciences 120, 1453–1469 (2004). https://doi.org/10.1023/B:JOTH.0000016061.46469.92
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DOI: https://doi.org/10.1023/B:JOTH.0000016061.46469.92