%0 Journal Article
%T On the existence of steady flow in a channel with one porous wall or two accelerating walls
%A Chunqing Lu
%J Electronic Journal of Differential Equations
%D 1998
%I Texas State University
%X channel either with no-slip at one wall and constant uniform suction or injection through another wall, or with two accelerating walls. The flows are governed by the fourth order nonlinear differential equation $F^{iv}+R(FF'''-F'F'')=0$. In the former case, the flow is subject to the boundary conditions $F(-1)=F'(-1)=F'(1)=0$, $F(1)=-1$. In the latter case, the boundary conditions are $F(-1)=F(1)=0$, $F'(-1)=-1$, $F'(1) = 1$.
%K laminar flow
%K similarity solutions
%K Navier-Stokes equations.
%U http://ejde.math.txstate.edu/conf-proc/01/l4/abstr.html