A stability index for detonation waves in Majda's model for reacting flow

DOI10.1016/j.physd.2004.01.036zbMath1061.35018arXivmath/0306239OpenAlexW2025142449MaRDI QIDQ1885888

Kevin Zumbrun, Gregory D. Lyng

Publication date: 12 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306239

zbMATH Keywords

Evans functionChapman-Jouguet detonationnonreactive gas-dynamical shockrarefaction solutionsreaction Navier-Stokes equationstraveling combustion waves

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Shock waves and blast waves in fluid mechanics (76L05) Navier-Stokes equations (35Q30) Combustion (80A25) Chemically reacting flows (80A32) Reaction effects in flows (76V05)

Related Items

Recent Results on Stability of Planar Detonations, Detonation wave solutions to the scalar combustion models with a singular source term, ENTROPY SOLUTIONS OF A CHAPMAN–JOUGUET COMBUSTION MODEL, Evans function computation for the stability of travelling waves, Pointwise Green function bounds and stability of combustion waves, Stability of ZND detonations for Majda’s model, Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions, A minimal hyperbolic system for unstable shock waves, Stability of viscous weak detonation waves for Majda's model, Galloping instability of viscous shock waves, Efficient numerical stability analysis of detonation waves in ZND, One-dimensional stability of viscous strong detonation waves, Stability of detonation profiles in the ZND limit, Detonation wave solution to a 1D piston problem for the Zeldovich-von Neumann-Döring combustion model, Hopf bifurcation of viscous shock waves in compressible gas dynamics and MHD, The perturbation on initial binding energy for a Majda-CJ combustion model, Perturbed Riemann problem for a scalar Chapman-Jouguet combustion model, Stability of strong detonation waves for Majda’s model with general ignition functions

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