In this article, we study the blow-up slutions for the 2D Euler-Boussinesq equation. In particular, it is shown that if
then the local solution can be continued to the global one. This is an improvement of classical Lipschitz-type blow-up criterion () in terms of the temperature .
Submitted December 18, 20915. Published March 15, 2016.
Math Subject Classifications: 35Q35, 35B35, 35B65, 76D05.
Key Words: 2D Boussinesq equation; blow-up criterion; Besov space; transport equation.
Show me the PDF file (252 KB), TEX file for this article.
| Chenyin Qian |
Department of Mathematics
Zhejiang Normal University
Jinhua 321004, China
Return to the EJDE web page