On the One-dimensional Stability of Viscous Strong Detonation Waves

Details On the One-dimensional Stability of Viscous Strong Detonation Waves On the One-dimensional Stability of Viscous Strong Detonation Waves

2003-06-10

arxiv.org/abs/math/0306173v1

Mathematics

Analysis of PDEs

66 pages, 7 figures

Scientific paper

10.1007/s00205-004-0317-6

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 Navier-Stokes equations. The primary result, following the work of Alexander, Gardner & Jones and Gardner & Zumbrun, is the calculation of a stability index whose sign determines a necessary condition for spectral stability. We show that for an ideal gas this index can be evaluated in the ZND limit of vanishing dissipative effects. Moreover, when the heat of reaction is sufficiently small, we prove that strong detonations are spectrally stable provided the underlying shock is stable. Finally, for completeness, the stability index calculations for the nonreacting Navier-Stokes equations are included

Affiliated with

Also associated with

No associations

Rating

On the One-dimensional Stability of Viscous Strong Detonation Waves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the One-dimensional Stability of Viscous Strong Detonation Waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the One-dimensional Stability of Viscous Strong Detonation Waves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-368018