Non-planar fronts in Boussinesq reactive flows

Henri Berestycki, Peter Constantin, Lenya Ryzhik

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


We consider the reactive Boussinesq equations in a slanted cylinder, with zero stress boundary conditions and arbitrary Rayleigh number. We show that the equations have non-planar traveling front solutions that propagate at a constant speed. We also establish uniform upper bounds on the burning rate and the flow velocity for general front-like initial data for the Cauchy problem.

Original languageEnglish (US)
Pages (from-to)407-437
Number of pages31
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Issue number4
StatePublished - 2006

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematical Physics
  • Applied Mathematics


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