Ginzburg-Landau equation coupled to a concentration field in binary-mixture convection

Hermann Riecke*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


Localized travelling-wave trains are investigated as they arise in binary-mixture convection. For free-slip-permeable boundary conditions a complex Ginzburg-Landau equation is derived which is coupled to a mean concentration field. This takes the slow mass diffusion into account. Numerical simulations show that in equations of that form the additional concentration field can lead to a substantial reduction of the drift velocity of localized wave trains. Moreover, localized waves can be stable even if all the coefficients of the Ginzburg-Landau equation are real and even if the bifurcation to extended waves is supercritical.

Original languageEnglish (US)
Pages (from-to)253-259
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Issue number1-4
StatePublished - Dec 30 1992

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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