Boundary Layers for 2D Stationary Navier-Stokes Flows over a Moving BoundaryIyer, Sameer S.creatorGuo, YanAdvisorMenon, GovindReaderPausader, BenoitReaderBrown University. Department of Applied Mathematicssponsor2018x, 537 p.born digitalThesis (Ph. D.)--Brown University, 2018thesesIn this thesis, we study Prandtl's boundary layer theory for 2D, stationary, incompressible Navier-Stokes flows posed on domains with boundaries. The boundary layer hypothesis posed by Prandtl in 1904 asserts that for flows with low viscosities, the effect of friction is prominent near physical boundaries and negligible in the bulk. Verifying this mathematically is, in general, an important open problem. We establish the validity of Prandtl's hypothesis in three settings, all under the hypothesis of a translating boundary. A fourth contribution of this thesis is the construction of a one-parameter family of stationary, 2D Navier-Stokes solutions which are arbitrarily close to the Couette flow.Differential equations, PartialFluid mechanicsBoundary layerEnglishRPB2018061510.26300/5kb5-qr06In CopyrightCollection is open for research.dissertations