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Global Regularity for the Two-dimensional Boussinesq Equations Without Diffusivity in Bounded Domains
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zhou, Daoguo |
| Copyright Year | 2015 |
| Abstract | We address the well-posedness for the two-dimensional Boussinesq equations with zero diffusivity in bounded domains. We prove global in time regularity for rough initial data: both the initial velocity and temperature have $\epsilon$ fractional derivatives in $L^{q}$ for some $q>2$ and $\epsilon>0$ arbitrarily small. |
| Starting Page | 144 |
| Ending Page | 154 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.nonrwa.2018.02.009 |
| Alternate Webpage(s) | http://export.arxiv.org/pdf/1510.01960 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1510.01960v3.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.nonrwa.2018.02.009 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |