Blow-up criterion for the zero-diffusive Boussinesq equations via the velocity components
This article concerns the blow up for the smooth solutions of the three-dimensional Boussinesq equations with zero diffusivity. It is shown that if any two components of the velocity field $u$ satisfy $$ \int_0^T \frac{ \||u_1|+|u_2|\|^q_{L^{p,\infty}} } {1+\ln ( e+\|\nabla u\|^2_{L^2}) } d...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Texas State University
2015-03-01
|
Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2015/62/abstr.html |