Norm inflation for the Boussinesq system

Zongyuan LI, Weinan Wang

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

6 Citations (Scopus)

Abstract

We prove the norm inflation phenomena for the Boussinesq system on T3 . For arbitrarily small initial data (u0, ρ0) in the negative-order Besov spaces B˙−1∞,∞ × B˙−1∞,∞, the solution can become arbitrarily large in a short time. Such largeness can be detected in ρ in Besov spaces of any negative order: B˙s∞,∞ for any s > 0.
Original languageEnglish
Pages (from-to)5449–5463
JournalDiscrete and Continuous Dynamical Systems. Series B
Volume26
Issue number10
Online publishedNov 2020
DOIs
Publication statusPublished - Oct 2021
Externally publishedYes

Research Keywords

  • Boussinesq system
  • norm inflation
  • ill-posedness
  • negative order Besov spaces
  • plane waves

Fingerprint

Dive into the research topics of 'Norm inflation for the Boussinesq system'. Together they form a unique fingerprint.

Cite this