Concentration-diffusion phenomena of heat convection in an incompressible fluid

Reinhard Farwig*, Raphael Schulz, Masao Yamazaki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We study in the whole space Rn the behaviour of solutions to the Boussinesq equations at large distances. Therefore, we investigate the solvability of these equations in weighted L-spaces and determine the asymptotic profile for sufficiently fast decaying initial data. For n=2,3 we are able to construct initial data such that the velocity exhibits an interesting concentration-diffusion phenomenon.

Original languageEnglish
Pages (from-to)17-41
Number of pages25
JournalAsymptotic Analysis
Issue number1-2
Publication statusPublished - 2014


  • concentration-diffusion
  • instationary Boussinesq equations
  • mild and strong solutions
  • rate of decay in space
  • weighted spaces

ASJC Scopus subject areas

  • General Mathematics


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