Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions

Peter Constantin, Marta Lewicka, Lenya Ryzhik

Research output: Contribution to journalReview article

16 Scopus citations

Abstract

We consider systems of reactive Boussinesq equations in two-dimensional strips that are not aligned with gravity's direction. We prove that for any width of such strips and for arbitrary Rayleigh and Prandtl numbers, the systems admit smooth, non-planar travelling wave solutions with the fluid's velocity satisfying no-slip boundary conditions.

Original languageEnglish (US)
Article number006
JournalNonlinearity
Volume19
Issue number11
DOIs
StatePublished - Nov 1 2006

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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