6 citations · 8 across the 2 of their papers we have counts for
2 papers
math.AP2009★ 2 cited
Existence of quasilinear relaxation shock profiles
Guy Metivier, Benjamin Texier, Kevin Zumbrun
We establish existence with sharp rates of decay and distance from the Chapman--Enskog approximation of small-amplitude quasilinear relaxation shocks in the general case that the p…
math.AP2006★ 6 cited
Galloping instability of viscous shock waves
Benjamin Texier, Kevin Zumbrun
Motivated by physical and numerical observations of time oscillatory ``galloping'', ``spinning'', and ``cellular'' instabilities of detonation waves, we study Poincaré--Hopf bifurc…