%0 Journal Article
%T Degeneracy in the Blasius problem
%A Faiz Ahmad
%J Electronic Journal of Differential Equations
%D 2007
%I Texas State University
%X The Navier-Stokes 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 well-posedness of the Navier-Stokes 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 ill-posed. If the second condition is replaced by $f'(0)=-lambda $, then degeneracy occurs for $0 Keywords Navier-Stokes equations --- Blasius problem --- degeneracy --- Wang equation --- well-posed problem --- ill-posed problem
%K Navier-Stokes equations
%K Blasius problem
%K degeneracy
%K Wang equation
%K well-posed problem
%K ill-posed problem
%U http://ejde.math.txstate.edu/Volumes/2007/79/abstr.html