Tuen-Wai Ng, HKU, Hong Kong Exact Meromorphic
Solutions of the Falkner-Skan Differential Equation Abstract In this
talk, we shall apply a method first developed by A. Eremenko
to find the exact solutions of some interesting non-linear autonomous
differential equations including the Falkner-Skan
differential equation f'''
+ ff'' + b(1 - f '2) = 0 . This
third order O.D.E describes the boundary-layer flow over a wedge of included angle
bp and it has been studied intensively in fluid
mechanics. The solution f, if it
exists, is called the shape function, or the dimensionless stream function
and its first derivative, after suitable normalization, represents the
velocity. |