On fronts in a vanishing-viscosity limit

On fronts in a vanishing-viscosity limit

Thu, 04/06/2009
12:30 		Elaine Crooks (University of Wales, Swansea) OxPDE Lunchtime Seminar Add to calendar Gibson 1st Floor SR
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.