Boundary layer associated with a class of 3D nonlinear plane parallel channel flows A. MazzucatoDongjuan NiuXiaoming Wang 76B4735Q30Navier-Stokes equationsboundary layer analysis We establish the mathematical validity of the Prandtl boundary layer theory for a family of (nonlinear) plane parallel flow. The convergence is proved under various Sobolev norms, including the physically important space-time uniform norm, as well as the $L^infty(H^1)$ norm. Higher-order asymptotics are also considered. Indiana University Mathematics Journal 2011 text pdf 10.1512/iumj.2011.60.4479 10.1512/iumj.2011.60.4479 en Indiana Univ. Math. J. 60 (2011) 1113 - 1136 state-of-the-art mathematics http://iumj.org/access/