Separation of the two-dimensional steady MHD boundary layer (Q6191540)

Denote \(\Omega =\{ (x,y);x>0,y>0\} \). The paper studies the problem \( u\partial_x u +v\partial_y u-\partial_y^2u=N(x)(U-u)-\partial_xP\), \(\partial_xu+\partial_yv=0\) in \( \Omega \), \( u(x,0)=v(x,0)=0\), \( u(0,y)=u_0(y)\), \(u(x,y)\to U(x)\) as \( y\to \infty \). It is proved the existence of a separation point for some classical solution of the problem.