In a joint work with Sameer Iyer, the validity of steady Prandtl layer expansion is established in a channel. Our result covers the celebrated Blasius boundary layer profile, which is based on uniform quotient estimates for the derivative Navier-Stokes equations, as well as a positivity estimate at the flow entrance.

Professor Guo received his B.S. from Peking University in 1987. He received his Ph.D in Mathematics from Brown University in 1993. He was a Courant Instructor at the Courant Institute of Mathematical Sciences for 1993-95. He joined the faculty of the Division of Applied Mathematics at Brown University as an Assistant Professor in September 1995. He was an Assistant Professor at Princeton University for 1996-97. His professional awards include an Honorable Mention in SIAM Student Paper Competition in 1992, an A. P. Sloan Dissertation Fellowship in 1993, an NSF Postdoctoral Fellowship for 1995-98. Professor Guo is an A. P. Sloan Research Fellow for 1998-2000. He was named a Manning Assistant Professor at Brown for 1998 to 1999, and was promoted to an Associate Professor in 1999 and then Professor in 2004. He is now the chair of Division of Applied Mathematics in Brown University. Professor Guo had made outstanding contributions on partial differential equations and their applications, such as kinetic and fluid models for plasma physics, vortices in classical field theory (superconductivity and superfluidity), as well as stability problems in stellar dynamics.