Pointwise Green function bounds and stability of combustion waves
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Publication:868844
DOI10.1016/j.jde.2006.10.006zbMath1116.80017arXivmath/0607064OpenAlexW2087035090MaRDI QIDQ868844
Benjamin Texier, Kevin Zumbrun, Mohammadreza Raoofi, Gregory D. Lyng
Publication date: 26 February 2007
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607064
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Gas dynamics (general theory) (76N15) Fundamental solutions to PDEs (35A08) Combustion (80A25) Reaction effects in flows (76V05)
Related Items (17)
Recent Results on Stability of Planar Detonations ⋮ ENTROPY SOLUTIONS OF A CHAPMAN–JOUGUET COMBUSTION MODEL ⋮ Evans function computation for the stability of travelling waves ⋮ Stability of ZND detonations for Majda’s model ⋮ Stability of traveling waves for deterministic and stochastic delayed reaction-diffusion equation based on phase shift ⋮ Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions ⋮ Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves ⋮ Stability of viscous weak detonation waves for Majda's model ⋮ Galloping instability of viscous shock waves ⋮ Stability of detonation profiles in the ZND limit ⋮ Existence and stability of viscoelastic shock profiles ⋮ Metastability of solitary roll wave solutions of the St. Venant equations with viscosity ⋮ Hopf bifurcation of viscous shock waves in compressible gas dynamics and MHD ⋮ Stability of undercompressive viscous shock profiles of hyperbolic-parabolic systems ⋮ The perturbation on initial binding energy for a Majda-CJ combustion model ⋮ Perturbed Riemann problem for a scalar Chapman-Jouguet combustion model ⋮ Viscous Hyperstabilization of Detonation Waves in One Space Dimension
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