Fronts in reactive convection: Bounds, stability, and instability

DOI10.1002/cpa.10110zbMath1072.76068arXivnlin/0211042OpenAlexW2066234929MaRDI QIDQ4434572

Alexander Kiselev, Leonid Ryzhik, Peter Constantin

Publication date: 10 November 2003

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0211042

zbMATH Keywords

long-wavelength perturbationsKPP reactionreactive Boussinesq system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Combustion (80A25) Reaction effects in flows (76V05) Convection in hydrodynamic stability (76E06)

Related Items (8)

Existence of traveling waves in the Stokes-Boussinesq system for reactive flows ⋮ Stability of planar traveling waves in a Keller-Segel equation on an infinite strip domain ⋮ Non-planar fronts in Boussinesq reactive flows ⋮ The speed of traveling waves in a FKPP-Burgers system ⋮ Slow and fast minimal speed traveling waves of the FKPP equation with chemotaxis ⋮ On the existence of traveling waves in the 3D Boussinesq system ⋮ Traveling fronts in a reactive Boussinesq system: bounds and stability ⋮ Existence of periodic solutions of Boussinesq system

Cites Work

• Problèmes de réaction–diffusion–convection dans des cylindres non bornés
• The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations

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