28 citations · 49 across the 17 of their papers we have counts for
3 papers · 2 filters
High-frequency stability of multidimensional ZND detonations
Olivier Lafitte, Mark Williams, Kevin Zumbrun
The rigorous study of spectral stability of strong detonations was begun by Erpenbeck in the 1960s. Working with the Zeldovitch-von Neumann-Döring (ZND) model, he identified two fu…
Amplification of pulses in nonlinear geometric optics
Jean-Francois Coulombel, Mark Williams
In this companion paper to our study of amplification of wavetrains, we study weakly stable semilinear hyperbolic boundary value problems with pulse data. Here weak stability means…
Nonlinear geometric optics for reflecting uniformly stable pulses
Jean-Francois Coulombel, Mark Williams
We provide a justification with rigorous error estimates showing that the leading term in weakly nonlinear geometric optics expansions of highly oscillatory reflecting pulses is cl…