Entropy shock (source code)

= Entropy shock
{title2=$F'(u_r)<\sigma<F'(u_l)$}

For a scalar equation with strictly convex flux and states $u_l>u_r$, the <Rankine-Hugoniot condition> determines a discontinuity speed strictly between the right and left <characteristic speeds>. <Characteristic curves> enter this compressive discontinuity from both sides. Its <entropy flux for a scalar conservation law> inequalities make it an <entropy solution>. It is the limit of a phase-normalized decreasing <travelling wave> in the <vanishing viscosity approximation>.