Blow-up criterion for the 2D Euler-Boussinesq system in terms of temperature
In this article, we study the blow-up slutions for the 2D Euler-Boussinesq equation. In particular, it is shown that if $$ \int_0^{T^*} \sup_{r\geq 2}\frac{\|\Lambda^{1-\alpha} \theta(t)\|_{L^{r}}} {\sqrt{r\log r}}\,dt<\infty \quad \text{or}\quad \int_0^{T^*} \|\Lambda^{1-\alpha} \theta\|_{\...
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| Format: | Article |
| Language: | English |
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Texas State University
2016-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/73/abstr.html |