
Degeneracy in the Blasius problemKeywords: NavierStokes equations , Blasius problem , degeneracy , Wang equation , wellposed problem , illposed problem Abstract: The NavierStokes equations for the boundary layer are transformed, by a similarity transformation, into the ordinary Blasius differential equation which, together with appropriate boundary conditions constitutes the Blasius problem, $$ f'''(eta )+frac{1}{2}f(eta )f''(eta)=0,quad f(0)=0,; f'(0)=0,; f'(infty )=1. $$ The wellposedness of the NavierStokes equations is an open problem. We solve this problem, in the case of constant flow in a boundary layer, by showing that the Blasius problem is illposed. If the second condition is replaced by $f'(0)=lambda $, then degeneracy occurs for $0 Keywords NavierStokes equations  Blasius problem  degeneracy  Wang equation  wellposed problem  illposed problem
