Top: Schematic of a stagnation-point flow configuration, showing magnetic field lines (light-headed arrows) for a 1D current sheet together with a stagnation-point flow (solid-headed arrows). The ideal, ambipolar, and Ohmic regions are indicated. Middle and bottom: Solution of the dimensionless stagnation flow equation (Eq. (29)) with logarithmic (middle panel) and linear axes (bottom panel). Solid red: solution for $\stackrel{\sim }{B}(\stackrel{\sim }{x})$. Dashed: Asymptotic regimes for the purely advection-dominated (orange), ambipolar-dominated (blue) and Ohmic-dominated (green) regimes, behaving as x, x^1/3 and x⁻¹, respectively. The vertical dashed cyan lines mark l_a and l_d, with a vertical pink band around them to highlight the transition between different asymptotic regimes (l_d and the asymptotic Ohmic curve are only shown in the log plot).