A regularity criterion of weak solutions to the 3D Boussinesq equations
| Autor: | Ahmad Mohammed Alghamdi, Sadek Gala, Maria Alessandra Ragusa |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | AIMS Mathematics, Vol 2, Iss 3, Pp 451-457 (2017) |
| Druh dokumentu: | article |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/Math.2017.2.451/fulltext.html |
| Popis: | In this note, a regularity criterion of weaksolutions to the 3D-Boussinesq equations with respect to Serrin type condition under the framework of Besov space $\overset{.}{B}_{\infty ,\infty}^{r}$. It is shown that the weak solution $(u,\theta )$ is regular on $%(0,T] $ if $u$ satisfies $\int\limits_{0}^{T}{\left\| u\left( \cdot ,t \right) \right\|_{\overset{\cdot R}{\mathop{{{B}_{\infty ,\infty }}}}\,}^{\frac{2}{1+r}}}\ \ dt < \infty ,$ for 0 |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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