Establishes global well-posedness and smoothness for classical solutions of the dynamical Prandtl equation under monotonicity via new Holder and hypoelliptic regularity estimates in Crocco coordinates.
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Boundary layer separation exists in Stokes flow in the half-space when a singular integral of boundary data is negative, with analogous Navier-Stokes solutions constructed by perturbation.
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Global Well-posedness and Regularity of the Dynamical Prandtl Equation
Establishes global well-posedness and smoothness for classical solutions of the dynamical Prandtl equation under monotonicity via new Holder and hypoelliptic regularity estimates in Crocco coordinates.
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On the Existence of Boundary Layer Separation for Incompressible Fluid Flow in the Half-Space
Boundary layer separation exists in Stokes flow in the half-space when a singular integral of boundary data is negative, with analogous Navier-Stokes solutions constructed by perturbation.