Concentration-diffusion phenomena of heat convection in an incompressible fluid

Reinhard Farwig, Raphael Schulz, Masao Yamazaki

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
Volume88
Issue number1-2
DOIs
Publication statusPublished - 2014

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Concentration-diffusion phenomena of heat convection in an incompressible fluid'. Together they form a unique fingerprint.

  • Cite this