On the global regularity of N-dimensional generalized Boussinesq system

Kazuo Yamazaki

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


We study the N-dimensional Boussinesq system with dissipation and diffusion generalized in terms of fractional Laplacians. In particular, we show that given the critical dissipation, a solution pair remains smooth for all time even with zero diffusivity. In the supercritical case, we obtain component reduction results of regularity criteria and smallness conditions for the global regularity in dimensions two and three.

Original languageEnglish
Pages (from-to)109-133
Number of pages25
JournalApplications of Mathematics
Issue number2
StatePublished - Apr 2015


  • Besov space
  • Boussinesq system
  • global regularity
  • regularity criteria


Dive into the research topics of 'On the global regularity of N-dimensional generalized Boussinesq system'. Together they form a unique fingerprint.

Cite this