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On Analytic Solutions of the Prandtl Equations with Robin Boundary Condition in Half Space

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arxiv 1402.3158 v1 pith:UOU42UYG submitted 2014-02-13 math.AP

Yutao Ding , Ning Jiang This is my paper · ORCID
classification math.AP
keywords equationsboundaryconditionanalytichalfprandtlrobinsolutions
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The existence and uniqueness of the analytic solutions to the nonlinear Prandtl equations with Robin boundary condition on a half space are proved, based on an application of abstract Cauchy-Kowalewski theorem. These equations arise in the inviscid limit of incompressible Navier-Stokes equations with Navier-slip boundary condition in which the slip length is square root of viscosity, as formally derived in [26].

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