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 Physics , 2000, DOI: 10.1046/j.1365-8711.2001.04133.x Abstract: Gas falling quasi-spherically onto a black hole forms an inner accretion disc if its specific angular momentum $l$ exceeds $\lmin\sim r_gc$ where $r_g$ is the Schwarzschild radius. The standard disc model assumes $l\gg\lmin$. We argue that, in many black-hole sources, accretion flows have angular momenta just above the threshold for disc formation, $l\simgt\lmin$, and assess the accretion mechanism in this regime. In a range $\lmin  Mathematics , 2012, DOI: 10.1007/s00205-013-0702-0 Abstract: We consider the linearized 2D inviscid shallow water equations in a rectangle. A set of boundary conditions is proposed which make these equations well-posed. Several different cases occur depending on the relative values of the reference velocities$(u_0,v_0)$and reference height$\phi_0\$ (sub- or super-critical flow at each part of the boundary).