Non-planar fronts in Boussinesq reactive flows

DOI10.1016/j.anihpc.2004.10.010zbMath1157.35469arXivmath/0407303OpenAlexW2077037382MaRDI QIDQ2507953

Henri Berestycki, Leonid Ryzhik, Peter Constantin

Publication date: 5 October 2006

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407303

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Incompressible viscous fluids (76D99) Reaction effects in flows (76V05)

Related Items

Existence of traveling waves in the Stokes-Boussinesq system for reactive flows, Model flames in the Boussinesq limit: Rising bubbles, Pulsating Fronts in a 2D Reactive Boussinesq System, Unnamed Item, On the well-posedness of the inviscid Boussinesq equations in the Besov-Morrey spaces, Speed-up of traveling waves by negative chemotaxis, Global well-posedness for 2D Boussinesq system with general supercritical dissipation, Local existence of strong solutions to the generalized Boussinesq equations, On partial regularity problem for 3D Boussinesq equations, Propagation in a Fisher-KPP equation with non-local advection, The speed of traveling waves in a FKPP-Burgers system, Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation, Slow and fast minimal speed traveling waves of the FKPP equation with chemotaxis, On the existence of traveling waves in the 3D Boussinesq system, Rigidity aspects of singular patches in stratified flows, On the inviscid Boussinesq system with rough initial data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multi-dimensional travelling-wave solutions of a flame propagation model
• Existence of planar flame fronts in convective-diffusive periodic media
• Global solutions to a reactive Boussinesq system with front data on an infinite domain
• Existence and stability of multidimensional travelling waves in the monostable case
• Location of spectrum and stability of solutions for monotone parabolic system
• Reaction-diffusion-convection problems in unbounded cylinders
• Min-max formulas for the speeds of multidimensional progressive waves
• Bulk burning rate in passive-reactive diffusion
• The speed of propagation for KPP type problems. I: Periodic framework
• Travelling fronts in cylinders
• Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena
• Quenching of reaction by cellular flows
• Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media
• Existence of reaction-diffusion-convection waves in unbounded strips
• Problèmes de réaction–diffusion–convection dans des cylindres non bornés
• Variational Principles for Propagation Speeds in Inhomogeneous Media
• Geometric Optics Approach to Reaction-Diffusion Equations
• Continuity of Solutions of Parabolic and Elliptic Equations
• Traveling Wave Solutions to Combustion Models and Their Singular Limits
• Fronts in reactive convection: Bounds, stability, and instability
• Front Propagation in Heterogeneous Media
• The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations
• Front propagation in periodic excitable media
• Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales
• Activation energy effect on flame propagation in large-scale vortical flows
• Front speed enhancement in cellular flows
• Enhancement of the traveling front speeds in reaction-diffusion equations with advection