107 citations · 1.1k across the 120 of their papers we have counts for
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math.AP2003★ 50 cited
A stability index for detonation waves in Majda's model for reacting flow
Gregory Lyng, Kevin Zumbrun
Using Evans function techniques, we develop a stability index for weak and strong detonation waves analogous to that developed for shock waves in [GZ,BSZ], yielding useful necessar…
math.AP2003★ 46 cited
On the One-dimensional Stability of Viscous Strong Detonation Waves
Gregory Lyng, Kevin Zumbrun
Building on Evans function techniques developed to study the stability of viscous shocks, we examine the stability of viscous strong detonation wave solutions of the reacting Navie…
math.AP2003
Symmetrizers and Continuity of Stable Subspaces for Parabolic-Hyperbolic Boundary Value Problems
Guy Metivier, Kevin Zumbrun
In this paper we prove the continuity of stable subspaces associated to parabolic-hyperbolic boundary value problems, for limiting values of parameters. The analysis is based on th…