= Uniformly convex scalar flux
{title2=$F''\geq\kappa>0$}
In the common PDE convention, a uniformly convex scalar flux is a $C^2$ flux satisfying $F''(z)\geq\kappa>0$ throughout the specified state interval, with one constant $\kappa$. Equivalently, $F(z)-\kappa z^2/2$ is a <convex function>. This guarantees strict inequality below nontrivial chords and strict ordering of the two endpoint <derivatives> around the chord slope. On the whole real line it is incompatible with a globally bounded first <derivative>.
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