On fronts in a vanishing-viscosity limit

Scalar balance laws with monostable reaction, possibly non-convex flux, and

viscosity $\varepsilon$ are known to admit so-called entropy travelling fronts for all velocities greater than or equal to an $\varepsilon$-dependent minimal value, both when $\varepsilon$ is positive, when all fronts are smooth, and for $\varepsilon =0$, when the possibly non-convex flux results in fronts of speed close to the minimal value typically having discontinuities where jump conditions hold.

I will discuss the vanishing-viscosity limit of these fronts.